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ORIGINAL RESEARCH article

Front. Vet. Sci., 11 November 2025

Sec. Veterinary Epidemiology and Economics

Volume 12 - 2025 | https://doi.org/10.3389/fvets.2025.1640050

This article is part of the Research TopicEpidemiology, prevention, and control of animal diseases in the 'stan' countries of Central AsiaView all 10 articles

A time-space Bayesian regression model of rabies cases in the animal population of Kazakhstan (2013–2023)

  • 1VISAVET Health Surveillance Centre, University Complutense de Madrid, Madrid, Spain
  • 2Departamento de Sanidad Animal, Facultad de Veterinaria, Universidad Complutense de Madrid, Madrid, Spain
  • 3S. Seifullin Kazakh Agro Technical Research University, Astana, Kazakhstan
  • 4Independent Researcher, Madrid, Spain
  • 5Center for Animal Health and Food Safety, College of Veterinary Medicine, University of Minnesota, Saint Paul, MN, United States

Introduction: Despite its endemic status and socioeconomic impacts, the spatial-temporal variation in rabies risk and its underlying determinants in Kazakhstan animal populations remain poorly understood. This study aimed to characterize the time-space dynamics of rabies in animal populations across Kazakhstan regions from 2013 to 2023 and identify the key drivers of transmission.

Methods: Using a Bayesian hierarchical regression model with spatial and temporal random effects, we analyzed national surveillance data on rabies cases in livestock, companion animals, and wildlife, alongside sociodemographic and animal population variables.

Results: The model revealed that higher median income (odds ratio [OR]: 1.18, 95% posterior predictive interval [PPI]: 1.06–1.31), the presence of rabies in wildlife (OR: 1.55, 95% PPI: 1.27–1.89), and companion animal rabies incidence (low: 1–5 cases/year, OR: 1.39, 95% PPI: 1.06–1.85; high: ≥6 cases/year, OR: 2.07, 95% PPI: 1.46–2.96) were associated with increased livestock rabies risk, while higher human population density correlated with reduced risk (OR: 0.68, 95% PPI: 0.5–0.9). Spatial analysis identified persistent high-risk zones in western Kazakhstan and lower risk in southern regions, driven by ecological and socioeconomic heterogeneity.

Discussion: These findings highlight the relationship between wildlife reservoirs, domestic animal management, and socioeconomic factors in rabies transmission in Kazakhstan. By integrating these insights into national policy, Kazakhstan can advance toward the global target of eliminating dog-mediated human rabies deaths by 2030, serving as a model for Central Asia.

1 Introduction

Rabies is a severe, vaccine-preventable viral disease of the nervous system that affects both animals and humans (1, 2). The primary reservoirs for the rabies virus include wild and stray canids, certain species of rodents, and livestock (3). Rabies causes progressive and fatal inflammation of the brain and spinal cord. Once clinical signs appear, the case fatality rate approaches nearly 100% (4, 5).

Rabies kills approximately 59,000 people globally each year, although due to significant underreporting, the actual number of cases is likely much higher despite the availability of effective prevention tools: death from rabies can be prevented through timely post-exposure prophylaxis (PEP), which blocks the virus from entering the central nervous system. However, the use of PEP is costly. As of 2018, the estimated average cost of PEP was approximately $108 USD (including travel expenses and lost income), representing a significant financial burden for countries where individuals live on an average of $1–2 USD per day (6, 7).

Alarmingly, a large proportion (40%) of the victims are children under the age of 15. Domestic dogs are the primary source of human rabies deaths and have been considered responsible for approximately 99% of all human fatalities (8). For these reasons, rabies has been included in the WHO's 2021–2030 roadmap for neglected tropical diseases, which aims to build a global framework for the elimination of dog-mediated rabies and achieve zero human deaths from rabies worldwide by 2030 (6, 9).

Dog-mediated rabies has already been eliminated in Western Europe, Canada, the United States, Japan, South Korea, Singapore, and several Latin American countries (1012). However, the disease remains a serious public health concern in more than 150 countries, primarily in Asia and Africa. In Eastern Europe and Central Asia, rabies is considered endemic (13) and can increase in the case of unfavorable circumstances. For instance, 63 human rabies cases were recorded in Ukraine between 1996 and 2020. According to the Ukraine Center for Public Health, 4,272 cases of rabies-infected animal bites were reported between 2023 and 2024, likely associated with the challenges in disease control associated with the social disruption suffered by the country in that year. In Azerbaijan, rabies is present in domestic animals and less commonly in wildlife, and between one and five human deaths due to rabies were reported annually between 2018 and 2023, while 13 rabies cases were reported in 2023 in Kyrgyzstan (14). According to the CDC, Russia was rated as a high-risk country for importing dog rabies into the United States, where 2,000–4,000 rabies cases in animals are reported each year (15). In China, rabies remains widespread among various species of wild, domestic, and farm animals. However, even though dog rabies hotspots persist, significant progress has been achieved, and human cases have dropped from 3,300 in 2007 to 516 in 2017 and approximately 202 in 2020 (16).

The Republic of Kazakhstan is considered an endemic territory for rabies, with 54 reported human rabies deaths since 2010 (with between one and 10 deaths reported each year, except in 2018, and no reported deaths in 2022 and 2023), according to the WHO (17). The first officially documented case of rabies in Kazakhstan dates back to 1914 in the Turgai region (18). Since then, the disease has been recorded in animals every year (19). Rabies causes significant economic losses, including livestock mortality, the cost of quarantine and preventive measures, trapping and managing stray dogs and cats, sterilization programs, regulation of wild carnivore populations, and diagnostic testing (7). In Kazakhstan, economic losses due to rabies have been estimated at 20.9 million USD annually, with about half of it attributed to PEP. In addition, vast efforts are also invested in animal vaccination, with an average of 4.7 million domestic animals vaccinated annually between 2013 and 2015, and 736,000 vaccine baits deployed for wildlife vaccination every year (20).

Current rabies control in Kazakhstan relies on passive surveillance, which includes reactive monitoring and emergency vaccination in response to detected cases. To illustrate the scale of these efforts, rabies vaccination in 2025 is planned to cover at least 5 million head of livestock, approximately 2.5 million companion animals, and up to 2 million wild carnivores, accounting for the country's vast territory and diverse climates. Wildlife vaccination follows WOAH recommendations, employing bait distribution, consumption monitoring, and tetracycline biomarker analysis, tailored to the local epizootic situation and density of susceptible wildlife. Key institutionalized measures encompass promoting responsible dog ownership, mass dog vaccination, control of fox populations, and management of stray animals. For human prevention, Post-Exposure Prophylaxis (PEP) is implemented using inactivated cell culture vaccines—such as COCAV (Russia/Kazakhstan), Verorab (France), Rabipur (Germany/India), and Rabivac (India)—administered according to a standard 5-dose schedule on days 0, 3, 7, 14, and 30.

As part of the ongoing efforts to control rabies in the animal reservoir, a zoning strategy based on the distinct epidemiological features of the disease in different regions of the country has been proposed to support disease control in Kazakhstan (21). However, time-space variation in disease risk and its potential association with certain variables with a heterogeneous spatial distribution, including animal populations and sociodemographic factors, has never been assessed in the country.

In this study, we fitted a multivariable Bayesian regression model to animal rabies incidence data from Kazakhstan (2013–2023) to characterize spatio-temporal variation in disease risk at the regional level. The model incorporated structured and unstructured random effects, as well as animal population and sociodemographic data, the influence of which has been demonstrated by Kabzhanova et al. (22). Integrating these covariates at the regional level into a single framework, our approach can capture not only complex space-time dependencies but also the influence of demographic factors on rabies risk. These results will extend previous rabies control efforts, ultimately contributing to the elimination of the disease across the country and in Central Asia.

2 Materials and methods

2.1 Background information

The Kazakhstan administrative division includes 14 oblasts (first-level administrative divisions, herein regions) and three cities of national significance (Astana, Almaty and Shymkent). The geography of the country is characterized by various landscapes, including extensive steppes, arid deserts, and significant water bodies such as Lake Balkhash. The country's climate is continental, characterized by significant temperature variations. In terms of demographics, Kazakhstan has a population of approximately 20.1 million, with a low population density (7 people/km2) and significant urbanization, since over 60% of the population resides in cities, with rural communities often engaged in agriculture and pastoralism.

2.2 Spatiotemporal analysis

The study relied on a national database provided by the Kazakh public authorities. This dataset included variables at the regional level aggregated by region and year, including rabies case counts in animals, animal population data and sociodemographic characteristics. The rabies case counts and animal populations were stratified in the categories livestock (cattle, camels, sheep and horses), companion animals (dogs and cats) and wildlife (wolves and foxes) due to the lack of information on case occurrence by species, in spite of the potential bias this could introduce in the analysis due to the different epidemiology of the disease in each animal species. The sociodemographic data included the total human population, the number of people living in urban and rural settings, the average annual income, and the total road length and road density in each region. The choice of two latter variables was influenced by the study of Kabzhanova et al. (22), which demonstrated that regions with significantly lower road density (e.g., Ulytau, Karaganda, Mangystau, Atyrau) tend to report fewer cases of rabies.

The spatiotemporal incidence of livestock rabies was assessed using a Bayesian hierarchical model with spatially structured and non-structured random effects as previously described (23). Briefly, the observed rabies in region i and year j was modeled as a Poisson distribution Oij ~ Poissonij), where the log-linear predictor incorporated an offset for expected cases considering the annual median incidence of livestock rabies cases and assuming cases were distributed homogeneously in the country as a function of the exposed animal population (Ei, j), the spatially structured (Si) and unstructured random effects (Ui), and the available covariate terms (βkXijk) as:

log(μi,j)=log(Ei,j)+β0+Si+Ui+βkXijk

Structured spatial effects were modeled using a conditional autoregressive (CAR) prior with adjacency defined by the Queen's Contiguity method, where regions sharing borders or corners were considered neighbors. Unstructured effects were assigned independent normal priors Ui ~ N(μUi, σUi2). Both were assigned gamma distributions τ ~ Gamma(1, 0.01) as hyperprior distributions on the inverse variance parameters. All the coefficients for the available covariates were set to follow weakly informative Normal prior distributions as βk ~ N(0, ~0.01).

Prior to model fitting, we assessed potential multicollinearity among the selected covariates by fitting a standard linear regression model with the same set of predictors and calculating the variance inflation factor (VIF) through the package “performance”. All continuous covariates (including animal population variables and sociodemographic characteristics) except the urban-to-rural ratio distribution were standardized using z-score transformation (centered by subtracting the mean and scaled by dividing by the standard deviation) using the “scale” function in R. This procedure was implemented to minimize the convergence issues arising from the disparate variable magnitudes. Urban and rural population distribution was as expressed a ratio (proportion of the urban/rural residents relative to the total regional population). Companion and wildlife rabies case counts were evaluated as discrete variables and, additionally, as categorical variables to account for non-linear associations with livestock rabies risk. Several categorisations were explored, such as presence or absence of cases, or categorization into quartiles. Ultimately, however, companion animal case counts were categorized as ‘none' (0 cases), ‘low' (1–5 cases) or ‘high' (≥6 cases) based on the terciles of the empirical distribution of annual cases (2020–2024) based on the better model fit. Wildlife rabies case counts were dichotomized as ‘absent' (0 cases) or ‘present' (≥1 case) given the low numbers recorded.

For variable selection, a set of univariable models including the spatially structured and non-structured random effects were first fitted to the livestock case counts for each of the available covariables. Variables with exponentiated coefficients whose 95% posterior predictive intervals (PPI) excluded 1 were further considered in the multivariable analysis. In the multivariable analysis, DIC was used to select the best model. To validate the adequacy of the Poisson distribution assumption in the model, we conducted posterior predictive checks by generating simulated livestock case count data from the model and comparing these to the observed counts.

As a sensitivity analysis, we fitted a simplified hierarchical Bayesian model excluding the spatially structured random effects. The final model incorporated only unstructured area-level random effects, along with relevant covariates and temporal structure. This allowed us to assess the robustness of our results to the inclusion of spatial autocorrelation. The analysis was conducted in R (24) using the “R2OpenBUGS” package (25) to interface with OpenBUGS for Bayesian inference via Markov Chain Monte Carlo (MCMC) sampling. Three MCMC chains were run for 15,000 iterations with a ‘burn-in' of 1,000 iterations and posterior distributions were calculated after thinning every 10 iterations. Convergence was assessed visually using the ‘mcmcplots' package (26) and formally by the Gelman–Rubin statistic (27). Spatial adjacency matrices and weights were constructed using geographic boundary data from the R package “geokz” (28) using “spdep” package (29).

3 Results

During the 10-year period of the study, 926 cases of rabies in animals were reported in Kazakhstan. Of those, 515 were in livestock animals (55.6%), 359 in companion animals (38.8%) and 52 in wildlife (5.6%). The case counts reported varied annually (Figure 1) between regions (Figure 2). The annual mean incidence in livestock over the study period was 16.8 cases (min = 5.4, max = 31.4) per 10 million animals (Figure 1).

Figure 1
Line graph showing rabies cases in Kazakhstan from 2013 to 2023, categorized by companion, livestock, wildlife, and total cases. Each category fluctuates, with total cases peaking at 140 in 2013 and 2015, then declining to 37 in 2023. Companion cases generally decrease, livestock cases fluctuate slightly, while wildlife cases remain low. Livestock incidence per 10 million animals is consistently low.

Figure 1. Annual cases of rabies in livestock, companion animals and wildlife.

Figure 2
Top left map shows livestock cases in Kazakhstan by region, with East Kazakhstan having the highest cases. Top right map depicts companion animal cases, highlighted mainly in South Kazakhstan. Bottom left map illustrates wildlife cases, concentrated in Mangystau and Atyrau. Bottom right map displays rabies cases, prominently in East Kazakhstan. Each map includes a compass, a scale bar, and a color gradient legend representing the number of cases.

Figure 2. Accumulated cases of rabies in livestock, companion animals and wildlife by region from 2013 to 2023.

All VIF were below 2, suggesting a lack of multicollinearity between covariates. The spatiotemporal Bayesian hierarchical multivariable model revealed associations between livestock rabies incidence and several covariates after adjusting for structured spatial effects and spatially unstructured heterogeneity. Median income exhibited a positive association with rabies risk, with a posterior median odds ratio (OR) of 1.18 (95% PPI: 1.06–1.31), indicating that regions with higher median income had elevated rabies incidence in livestock. Conversely, the total population size was negatively associated with disease frequency, with a median OR of 0.68 (95% PPI: 0.5–0.9). Companion and wildlife rabies case counts were included as categorical variables based on the improved model fit. Wildlife rabies presence (≥1 case) in a region was associated with increased livestock rabies risk (median OR: 1.55; 95% PPI: 1.27–1.89) while detection of rabies in companion animals was associated with a different increase in disease risk in livestock depending on the number of cases recorded: low frequency of rabies in companion animals (1–5 cases in a year) led to a median increase in the odds of disease of 1.39 (95% PPI: 1.06–1.85) in livestock compared to the situation in which no disease was detected in this animal category, while high-frequency years in a region (≥6 cases) was linked to a larger increase in rabies risk (median OR: 2.07; 95% PPI: 1.46–2.96). Although the 95% PPI from the covariate representing the wolf population density included 1 (median OR: 1.05; 95% PPI: 0.92–1.2). The inclusion of this covariate improved the model fit, as evidenced by a reduction in the DIC from 605.2 to 351.3 (calculated as a difference between nested models, i.e. baseline model vs. model with spatially structured random effects) and hence was maintained in the model (Table 1).

Table 1
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Table 1. Univariable and multivariable model results for livestock rabies risk.

The median posterior values estimated for the spatially structured and unstructured random effects were similar, suggesting a comparable importance of spatial and non-spatial heterogeneity (Figure 3). According to both random effects, the regions in the south of the country (Turkestan, Jambyl, and Kyzylorda) were consistently exposed to a lower risk of rabies (spatially structure posterior median: 0.68, 0.64, and 0.58, respectively), while those in the east and west (Mangystau, Kostanay, Atyrau, and East Kazakhstan) experienced a higher risk (spatially structure posterior median: 1.37, 1.38, 1.55, 1.66, respectively), and a higher heterogeneity was observed in other parts of the country.

Figure 3
Side-by-side maps of Kazakhstan show “Unstructured effects” on the left and “Structured effects” on the right. Each region is colored on a gradient from red to blue, representing values from negative zero point five to positive zero point five. Red indicates higher values, and blue indicates lower values. Both maps include geographic labels and a compass rose.

Figure 3. Posterior median estimates of unstructured and structured effects by region.

The mean and standard deviation of the observed aggregated counts aligned closely with the distributions of the simulated values indicating that the Poisson structure appropriately fitted the observed data (Supplementary material 1).

The sensitivity analysis showed that removing the spatially structured random effects did not substantially alter the estimated coefficients or their associated probability intervals. However, we retained the full spatiotemporal model as the final version, as it provides a more comprehensive representation of potential spatial heterogeneity given the known spatial distribution of rabies cases. Additionally, the model with spatially structured effects had a substantially lower DIC (351.3 vs. 662.3), supporting its selection as the final model (Supplementary material 2).

4 Discussion

Rabies is a fatal zoonosis that remains a significant economic and public health concern, yet it is entirely preventable and ultimately eradicable (30, 31). To achieve the WHO's 2030 elimination target (6), data-driven strategies are required to address its complex spatiotemporal dynamics at a national and regional level. In order to inform targeted control efforts in Kazakhstan, we conducted a spatiotemporal Bayesian analysis of a decade-long reported rabies cases, which allowed capturing large-scale trends at the regional level.

Our analysis revealed a slightly higher livestock rabies risk in regions with a higher median income like East Kazakhstan. This result may appear counterintuitive, but it may also reflect economic disparities in animal husbandry practices. In Kazakhstan, higher-income regions tend to have larger livestock populations, which could increase the likelihood of transmission as well as favor the contact between livestock and reservoir species, as in the case of other countries with strong pastoralist traditions, like Mongolia (32). In addition, lower-income areas tend to prioritize subsistence farming over commercial livestock production, which may reduce exposure, same as in farms in Ethiopia (33). This finding is consistent with other studies in Kazakhstan, which indicate that economic losses from rabies disproportionately affect regions with intensive livestock sectors. Furthermore, higher-income regions may implement more effective passive surveillance and have improved reporting infrastructures. This can result in increased case detection and an apparent rise in incidence (20).

The negative correlation between total population size and rabies risk may be attributable to urbanization trends. Over 60% of the Kazakhstan population lives in cities, where veterinary services, including vaccination and stray animal control, are more accessible. Rural areas, despite having lower population density, often face logistical challenges in implementing vaccination campaigns, which can perpetuate enzootic transmission (3436). This finding aligns with the conclusions of other studies, which identified urbanization as a protective factor due to its capacity for rapid response and the administration of PEP, and increased public awareness, thereby reducing the risk of transmission in peri-urban livestock farms (3739). However, when dog vaccination coverage is low urban areas can still experience persistent rabies transmission (40).

The strong association between the presence of rabies in wildlife and the risk to livestock highlights the potential role of sylvatic cycles in maintaining disease transmission. In Kazakhstan, wolves and foxes are the main reported wildlife hosts, particularly in the western and eastern regions, where landscapes support their ecological presence. These are known to act as reservoirs of the rabies virus and may spillover into domestic animal populations. Previous research in countries such as Russia, China and Mongolia has shown spatial co-occurrence between cases of rabies in (mainly) foxes and wolves, with cases in livestock, suggesting a sustained interface that supports cross-species transmission (32, 41, 42). Our results are a clear indication of the need for targeted surveillance and preventive measures in wildlife populations, such as oral vaccination programmes, which have proven effective in similar ecological conditions (43, 44). However, the relatively low number of cases reported in our dataset (only 52 cases over a decade) may reflect limitations in wildlife surveillance rather than true incidence, indicating that the contribution of wildlife to rabies persistence could be substantially underestimated.

Furthermore, companion animal rabies was also associated with an increased risk of rabies in livestock. This suggests the presence of overlapping transmission networks between stray dogs, cats, and livestock, particularly in the densely populated southern Kazakhstan. These findings have also been reported elsewhere (22, 45), where significant clusters in the southern regions driven by domestic animal cycles were identified. Thus, effective stray dog management is critical in the fight against rabies, as unvaccinated dogs can act as a bridge between wildlife, livestock, and ultimately human populations (46).

Spatial random effects revealed certain regional disparities once the effect of other covariates had been taken into account, with a higher risk in western Kazakhstan and a lower risk in the south. These results show the need to establish region-based surveillance in order to control rabies transmission. In a previous study, Abdrakhmanov et al. (21), analyzing historical data from 2003 to 2014, suggested that it would be advisable to apply zoning measures for rabies control. Similar to our results in terms of risk, they classified western regions as high-risk endemic zones due to favorable ecological conditions for wildlife reservoirs, including vast steppes and limited vaccination coverage. On the other hand, southern regions, despite high human and livestock densities, will benefit from stricter biosecurity measures in commercial farms and veterinary centers. Notably, the spatial risk patterns observed in our study mirror those identified a decade earlier, suggesting persistent geographical trends in rabies distribution.

Kazakhstan supports the Global Strategic Plan “Zero by 30” and has developed a national rabies elimination plan incorporating the “One Health” concept and multisectoral collaboration. This initiative focuses on improving PEP access, promoting bite prevention awareness, and expanding dog vaccination coverage to reduce human exposure risk. To achieve the WHO's 2030 elimination goal, policy frameworks must evolve through legislative reforms including mandatory dog vaccination laws and intersectoral collaboration (6), drawing inspiration from Latin America's successful centralized campaigns (10, 47). Public awareness programs targeting rural communities, particularly children who comprise 40% of global rabies deaths (6), could further reduce exposure risks. Kazakhstan stands out in Central Asia for its robust data analysis compared to southern neighbors: while Turkmenistan and Uzbekistan lack peer-reviewed rabies studies, and Kyrgyzstan has only one zoonosis burden review (48), Tajikistan's two studies include genomic characterization (49) and epidemiological analysis showing declining human cases linked to vaccination programs and livestock-canine transmission patterns (50) that mirror our findings.

Compared with previous studies in Kazakhstan that identified distinct spatial clusters of rabies using the spatial scan statistics (22, 51, 52) and proposed risk-based zoning using environmental predictors (21), our Bayesian hierarchical approach quantifies how specific demographic (e.g., income disparities, urbanization), animal population (e.g., wildlife spillover, companion animal incidence), and spatial dependency factors interact to modulate livestock rabies risk across regions. This study goes beyond cluster detection by explaining why disparities persist, a finding supported by recent Knowledge, Attitude, and Practices (KAP) studies that reveal significant gaps in rabies awareness and risky livestock management practices among farmers in high-risk regions, directly influencing exposure and transmission dynamics (53). Consequently, our analysis provides a transferable framework for Central Asian nations where similar sociodemographic heterogeneity may modulate zoonotic risk.

While our model advances our understanding of rabies dynamics, several limitations should be considered. The study relies on passive surveillance data, which is prone to underreporting, particularly in wildlife and in remote or sparsely populated regions. Surveillance activities are primarily conducted by regional veterinary services, and their capacity and reporting intensity may vary across regions. It has been noted that some northern and central regions consistently report fewer cases, which may reflect limited detection rather than true absence of disease (20). Consequently, observed spatial patterns may be influenced not only by ecological or epidemiological factors but also by differences in surveillance infrastructure. Our Bayesian modeling framework helps to mitigate some of this uncertainty by incorporating unstructured random effects, which absorb region-specific heterogeneity, including potential underreporting bias, leading to more robust estimates of the association between covariates and disease risk. Nonetheless, the model cannot fully correct for unmeasured reporting biases, and the results should be interpreted as reflecting the patterns within the reported data Additionally, we lacked information on rabies cases differentiated by species, as it was only by broader groups. This clearly limits our analysis, as the consequences in terms of management measures and costs for one species or another (e.g., cows vs. sheep) are not the same. Additionally, the dynamics of rabies transmission between different animal populations, such as dogs (major reservoirs of rabies that can transmit it to humans and other animals) and cats (most commonly accidental hosts with limited epidemiological relevance), differ considerably.

It is worth mentioning that we could not include covariates such as bat-related rabies dynamics in our analysis. Between 2020 and 2022, the rabies virus was detected in bats across six out of nine sample regions in Kazakhstan. Certain regions, such as Atyrau and North Kazakhstan, had prevalences up to 12%, including historically high-risk regions. While our study focused on terrestrial cycles, bat-borne rabies may constitute an understudied transmission route. Phylogenetic analysis has placed one bat-derived sequence in the Central Asia subclade, suggesting a potential cross-species spillover from terrestrial hosts (54). Although the focus has been established on terrestrial-based cycles, it would be advisable to evaluate the impact of bats on the rabies transmission network in Kazakhstan, as has been done successfully in Latin American countries (55). Active surveillance methodologies for chiropteran reservoirs, such as targeted capture and sampling of bats in roosts and migratory corridors, coupled with enhanced passive surveillance of grounded or neurologically abnormal bats, are critical to accurately assess the prevalence and distribution of bat-borne rabies variants (56, 57). Future surveillance measures and spatiotemporal studies should integrate this, together with genomic data to assess transmission networks, risk corridors and evaluate potential problems in vaccination (19, 58).

This study demonstrates the usefulness of Bayesian spatiotemporal models to unravel the complex epidemiology of rabies and to inform precision control strategies that combine socioeconomic and animal-related factors. Implementation of zoning strategies may be key for disease control in the future, as shown by the agreement of our results, performed with a more complete dataset, with previous studies. The interaction of many agents involved in rabies transmission and maintenance makes it difficult for Kazakhstan to achieve the targets set. However, policy reforms, implementation of WHO-recommended measures such as an appropriate and consistent combination of oral wildlife vaccination, mass dog vaccination, and enhanced PEP accessibility, combined with scientific research and molecular epidemiological studies, position Kazakhstan to achieve the WHO's 2030 elimination goal while serving as a model for Central Asia (59).

Data availability statement

The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation. Requests to access the datasets should be directed to Sarsenbay K. Abdrakhmanov (c19hYmRyYWtobWFub3ZAbWFpbC5ydQ==).

Ethics statement

Ethical approval was not required for the studies involving animals in accordance with the local legislation and institutional requirements because the study relied on a national database provided by Kazakh public authorities.

Author contributions

AG-B: Data curation, Formal analysis, Methodology, Software, Visualization, Writing – original draft, Writing – review & editing. GY: Conceptualization, Investigation, Writing – original draft, Writing – review & editing. AK: Conceptualization, Writing – review & editing. YM: Conceptualization, Writing – review & editing. EC-L: Data curation, Formal analysis, Writing – review & editing. JA: Formal analysis, Methodology, Software, Writing – review & editing. AP: Conceptualization, Funding acquisition, Methodology, Writing – review & editing. SA: Conceptualization, Funding acquisition, Investigation, Supervision, Writing – original draft, Writing – review & editing.

Funding

The author(s) declare that financial support was received for the research and/or publication of this article. This research was funded by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan, Grant No. AP19679670 improvement preventive measures against infectious diseases of animals (on the rabies example), based on using of information and communication technologies.

Conflict of interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential of interest.

The author(s) declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.

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The author(s) declare that no Gen AI was used in the creation of this manuscript.

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Supplementary material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fvets.2025.1640050/full#supplementary-material

References

1. Davis BM, Rall GF, Schnell MJ. Everything you always wanted to know about Rabies Virus (but were afraid to ask). Annu Rev Virol. (2015) 2:451. doi: 10.1146/annurev-virology-100114-055157

PubMed Abstract | Crossref Full Text | Google Scholar

2. Schnell MJ, McGettigan JP, Wirblich C, Papaneri A. The cell biology of rabies virus: using stealth to reach the brain. Nat Rev Microbiol. (2010) 8:51–61. doi: 10.1038/nrmicro2260

PubMed Abstract | Crossref Full Text | Google Scholar

3. Mbilo C, Lechenne M, Mauti S, Chitnis N, Tschopp R, Zinsstag J, et al. Rabies in dogs, livestock and wildlife: a veterinary perspective. Revue Scientifique et Technique-Office International Des Epizooties. (2018) 37:331–40. doi: 10.20506/rst.37.2.2806

PubMed Abstract | Crossref Full Text | Google Scholar

4. Fisher CR, Streicker DG, Schnell MJ. The spread and evolution of rabies virus: conquering new frontiers. Nat Rev Microbiol. (2018) 16:241–55. doi: 10.1038/nrmicro.2018.11

PubMed Abstract | Crossref Full Text | Google Scholar

5. Li Y, Zhou H, Li Q, Duan X, Liu F. Rabies virus as vector for development of vaccine: pros and cons. Front Vet Sci. (2024) 11:1475431. doi: 10.3389/fvets.2024.1475431

PubMed Abstract | Crossref Full Text | Google Scholar

6. FAO WOAH WHO and GARC. Zero by 30: the global strategic plan to end human deaths from dog-mediated rabies by 2030. Geneva: World Health Organization (2018).

Google Scholar

7. Shwiff S, Hampson K, Anderson A. Potential economic benefits of eliminating canine rabies. Antiviral Res. (2013) 98:352–6. doi: 10.1016/j.antiviral.2013.03.004

PubMed Abstract | Crossref Full Text | Google Scholar

8. Wambugu EN, Kimita G, Kituyi SN, Washington MA, Masakhwe C, Mutunga LM, et al. Geographic distribution of rabies virus and genomic sequence alignment of wild and vaccine strains, Kenya. Emerging Infect. Dis. (2024) 30:1642. doi: 10.3201/eid3008.230876

PubMed Abstract | Crossref Full Text | Google Scholar

9. Mbilo C, Coetzer A, Bonfoh B, Angot A, Bebay C, Cassamá B, et al. Dog rabies control in West and Central Africa: a review. Acta Trop. (2021) 224:105459. doi: 10.1016/j.actatropica.2020.105459

PubMed Abstract | Crossref Full Text | Google Scholar

10. Gan H, Hou X, Wang Y, Xu G, Huang Z, Zhang T, et al. Global burden of rabies in 204 countries and territories, from 1990 to 2019: Results from the Global Burden of Disease Study 2019. Int. J. Infect. Dis. (2023) 126:136–44. doi: 10.1016/j.ijid.2022.10.046

PubMed Abstract | Crossref Full Text | Google Scholar

11. Kamata Y, Tojinbara K, Hampson K, Makita K. The final stages of dog rabies elimination from Japan. Zoonoses Public Health. (2023) 70:1–12. doi: 10.1111/zph.12989

PubMed Abstract | Crossref Full Text | Google Scholar

12. Kumar A, Bhatt S, Kumar A, Rana T. Canine rabies: An epidemiological significance, pathogenesis, diagnosis, prevention, and public health issues. Comp Immunol Microbiol Infect Dis. (2023) 97:101992. doi: 10.1016/j.cimid.2023.101992

PubMed Abstract | Crossref Full Text | Google Scholar

13. Hampson, K, Coudeville, L, Lembo, T, Sambo, M, Kieffer, A, Attlan, M, et al. (2015). Estimating the global burden of endemic canine rabies. PLoS Negl. Trop. Dis. 9:e0003709. doi: 10.1371/journal.pntd.0003709

PubMed Abstract | Crossref Full Text | Google Scholar

14. WAHIS. Events Management (2025). Available online at: https://wahis.woah.org/#/event-management (Accessed June 20, 2025).

Google Scholar

15. Shulpin MI, Nazarov NA, Chupin SA, Korennoy FI, Metlin AY, Mischenko AV, et al. Rabies surveillance in the Russian Federation. Rev. Sci. Tech. Off. Int. Epizoot. (2018) 37:483–95. doi: 10.20506/rst.37.2.2817

PubMed Abstract | Crossref Full Text | Google Scholar

16. Shen T, Welburn SC, Sun L, Yang G-J. Progress towards dog-mediated rabies elimination in PR China: a scoping review. Infect. Dis. Pov. (2023) 12:30. doi: 10.1186/s40249-023-01082-3

PubMed Abstract | Crossref Full Text | Google Scholar

17. WHO. Reported Number of Human Rabies Deaths (2024). Available online at: https://www.who.int/data/gho/data/indicators/indicator-details/GHO/reported-number-of-human-rabies-deaths (Accessed June 20, 2025).

Google Scholar

18. Roslyakov AA, Mamadaliev SM. Epidemiologicheskie aspekty prirodnoj ochagovosti beshenstva v Kazaxstane. In: Materialy Mezhdunarodnoj Nauchno-Prakticheskoj KonferentsiiBiotexnologiya v Kazaxstane: Problemy i Perspektivy Innovacionnogo Razvitiya≫. Almaty, Kazakhstan: Institute of Biotechnology (2008). p. 569–72.

Google Scholar

19. Yessembekova GN, Xiao S, Abenov A, Karibaev T, Shevtosov A, Asylulan A, et al. Molecular epidemiological study of animal rabies in Kazakhstan. J Integr Agric. (2023) 22:1266–75. doi: 10.1016/j.jia.2022.11.011

Crossref Full Text | Google Scholar

20. Sultanov AA, Abdrakhmanov SK, Abdybekova AM, Karatayev BS, Torgerson PR. Rabies in Kazakhstan. PLoS Negl Trop Dis. (2016) 10:e0004889. doi: 10.1371/journal.pntd.0004889

PubMed Abstract | Crossref Full Text | Google Scholar

21. Abdrakhmanov SK, Beisembayev KK, Korennoy FI, Yessembekova GN, Kushubaev DB, Kadyrov AS. Revealing spatio-temporal patterns of rabies spread among various categories of animals in the Republic of Kazakhstan, 2010-2013. Geospat. Health (2016) 11:455. doi: 10.4081/gh.2016.455

PubMed Abstract | Crossref Full Text | Google Scholar

22. Kabzhanova AM, Kadyrov AS, Mukhanbetkaliyeva AA, Yessembekova GN, Mukhanbetkaliyev YY, Korennoy FI, et al. Rabies in the Republic of Kazakhstan: Spatial and temporal characteristics of disease spread over one decade (2013–2022). Front Vet Sci. (2023) 10:1252265. doi: 10.3389/fvets.2023.1252265

PubMed Abstract | Crossref Full Text | Google Scholar

23. Alvarez J, Whitten T, Branscum AJ, Garcia-Seco T, Bender JB, Scheftel J, et al. Understanding Q fever risk to humans in Minnesota through the analysis of spatiotemporal trends. Vector-Borne Zoonotic Dis. (2018) 18:89–95. doi: 10.1089/vbz.2017.2132

PubMed Abstract | Crossref Full Text | Google Scholar

24. R Core Team. R: A Language and Environment for Statistical Computing. Vienna: R Foundation for Statistical Computing (2023).

Google Scholar

25. Sturtz S, Ligges U, Gelman A. R2WinBUGS: A package for running WinBUGS from R. J Stat Softw. (2005) 12:1–16. doi: 10.18637/jss.v012.i03

Crossref Full Text | Google Scholar

26. Curtis SM. mcmcplots: create plots from MCMC output. In: CRAN: Contributed Packages. Vienna: R Foundation for Statistical Computing (2010).

Google Scholar

27. Gelman A, Rubin DB. Inference from iterative simulation using multiple sequences. Stat Sci. (1992) 7:457–511. doi: 10.1214/ss/1177011136

Crossref Full Text | Google Scholar

28. Rodionov A. geokz: Offers Various Kazakhstani Maps as Data Frames and “sf” Objects (2025). https://github.com/arodionoff/geokz/ (Accessed June 20, 2025).

Google Scholar

29. Bivand R. R packages for analyzing spatial data: a comparative case study with areal data. Geogr Anal. (2022) 54:488–518. doi: 10.1111/gean.12319

Crossref Full Text | Google Scholar

30. Abela-Ridder B. Rabies: 100 per cent fatal, 100 per cent preventable. Vet. Rec. (2015) 177:148–9. doi: 10.1136/vr.h4196

PubMed Abstract | Crossref Full Text | Google Scholar

31. Fooks AR, Cliquet F, Finke S, Freuling C, Hemachudha T, Mani RS, et al. Rabies. Nat Rev Dis Primers. (2017) 3:17091. doi: 10.1038/nrdp.2017.91

Crossref Full Text | Google Scholar

32. Matulis GA, Altantogtokh D, Lantos PM, Jones JH, Wofford RN, Janko M, et al. Hotspots in a cold land-reported cases of rabies in wildlife and livestock in Mongolia from 2012–2018. Zoonoses Public Health. (2022) 69:655–62. doi: 10.1111/zph.12954

PubMed Abstract | Crossref Full Text | Google Scholar

33. Jibat T, Mourits MCM, Hogeveen H. Incidence and economic impact of rabies in the cattle population of Ethiopia. Prev Vet Med. (2016) 130:67–76. doi: 10.1016/j.prevetmed.2016.06.005

PubMed Abstract | Crossref Full Text | Google Scholar

34. Chazya R, Mulenga CAS, Gibson AD, Lohr F, Boutelle C, Bonaparte S, et al. Rabies vaccinations at the rural–urban divide: successes and barriers to dog rabies vaccination programs from a rural and urban campaign in Zambia. Front Vet Sci. (2025) 11:1492418. doi: 10.3389/fvets.2024.1492418

PubMed Abstract | Crossref Full Text | Google Scholar

35. Misapa MC, Bwalya EC, Moonga L, Zimba J, Kabwali ES, Silombe M, et al. Rabies realities: Navigating barriers to rabies control in rural Zambia—a case study of Manyinga and Mwansabombwe districts. Trop Med Infect Dis. (2024) 9:161. doi: 10.3390/tropicalmed9070161

PubMed Abstract | Crossref Full Text | Google Scholar

36. Tan J, Wang R, Ji S, Su S, Zhou J. One Health strategies for rabies control in rural areas of China. Lancet Infect Dis. (2017) 17:365–7. doi: 10.1016/S1473-3099(17)30116-0

PubMed Abstract | Crossref Full Text | Google Scholar

37. Abdrakhmanov SK, Mukhanbetkaliyev YY, Korennoy FI, Beisembayev KK, Kadyrov AS, Kabzhanova AM, et al. Zoning of the republic of Kazakhstan as to the risk of natural focal diseases in animals: the case of rabies and anthrax. Geogr Environ Sustain. (2020) 13:134–44. doi: 10.24057/2071-9388-2020-10

Crossref Full Text | Google Scholar

38. Bourhy H, Nakouné E, Hall M, Nouvellet P, Lepelletier A, Talbi C, et al. Revealing the micro-scale signature of endemic zoonotic disease transmission in an African urban setting. PLoS Pathog. (2016) 12:e1005525. doi: 10.1371/journal.ppat.1005525

PubMed Abstract | Crossref Full Text | Google Scholar

39. Lu T, Cao JMD, Rahman AKMA, Islam SS, Sufian MA, Martínez-López B, et al. Risk mapping and risk factors analysis of rabies in livestock in Bangladesh using national-level passive surveillance data. Prev Vet Med. (2023) 219:106016. doi: 10.1016/j.prevetmed.2023.106016

PubMed Abstract | Crossref Full Text | Google Scholar

40. Castillo-Neyra R, Brown J, Borrini K, Arevalo C, Levy MZ, Buttenheim A, et al. Barriers to dog rabies vaccination during an urban rabies outbreak: qualitative findings from Arequipa, Peru. PLoS Negl Trop Dis. (2017) 11:e0005460. doi: 10.1371/journal.pntd.0005460

PubMed Abstract | Crossref Full Text | Google Scholar

41. Liu Y, Zhang HP, Zhang SF, Wang JX, Zhou HN, Zhang F, et al. Rabies outbreaks and vaccination in domestic camels and cattle in Northwest China. PLoS Negl Trop Dis. (2016) 10:e0004890. doi: 10.1371/journal.pntd.0004890

PubMed Abstract | Crossref Full Text | Google Scholar

42. Zakharova OI, Liskova EA. Patterns of animal rabies in the Nizhny Novgorod region of Russia (2012–2022): the analysis of risk factors. Front Vet Sci. (2024) 11:1440408. doi: 10.3389/fvets.2024.1440408

PubMed Abstract | Crossref Full Text | Google Scholar

43. Cerne D, Hostnik P, Toplak I. The successful elimination of sylvatic rabies using oral vaccination of foxes in Slovenia. Viruses. (2021) 13:405. doi: 10.3390/v13030405

PubMed Abstract | Crossref Full Text | Google Scholar

44. Zhugunissov K, Bulatov Y, Taranov D, Yershebulov Z, Koshemetov Z, Abduraimov Y, et al. Protective immune response of oral rabies vaccine in stray dogs, corsacs and steppe wolves after a single immunization. Arch Virol. (2017) 162:3363–70. doi: 10.1007/s00705-017-3499-6

PubMed Abstract | Crossref Full Text | Google Scholar

45. Kabzhanova AM, Mukhanbetkaliyev EE, Yesembekova GN, Berdikulov MA, Abdrakhmanov SK. Spatio-temporal analysis of the epizootic situation of animal rabies in Kazakhstan. Herald Sci. S.Seifullin Kazakh agrotechnical university: Multidisciplinarym, Vol. 3. Astana: S. Seifullin Kazakh Agrotechnical University (2022).

Google Scholar

46. Leung T, Davis SA. Rabies vaccination targets for stray dog populations. Front Vet Sci. (2017) 4:52. doi: 10.3389/fvets.2017.00052

PubMed Abstract | Crossref Full Text | Google Scholar

47. Del Rio Vilas VJ, de Freire MJ, Carvalho MAN, Vigilato F, Rocha A, Vokaty A, Pompei JA, et al. Tribulations of the last mile: sides from a regional program. Front Vet Sci. (2017) 4:4. doi: 10.3389/fvets.2017.00004

PubMed Abstract | Crossref Full Text | Google Scholar

48. Counotte MJ, Minbaeva G, Usubalieva J, Abdykerimov K, Torgerson PR. The burden of zoonoses in Kyrgyzstan: a systematic review. PLoS Negl Trop Dis. (2016) 10:e0004831. doi: 10.1371/journal.pntd.0004831

PubMed Abstract | Crossref Full Text | Google Scholar

49. Goharriz H, Marston DA, Sharifzoda F, Ellis RJ, Horton DL, Khakimov T, et al. First complete genomic sequence of a rabies virus from the Republic of Tajikistan obtained directly from a Flinders Technology Associates Card. Genome Announc. (2017) 5:e00515–17. doi: 10.1128/genomeA.00515-17

PubMed Abstract | Crossref Full Text | Google Scholar

50. Muminov AA, Nazarova OD, Petrova OG, Kamolzoda FB, Pulotov F. The current epizootic situation of rabies in Tajikistan. E3S Web Conf. (2021) 282:03019. doi: 10.1051/e3sconf/202128203019

Crossref Full Text | Google Scholar

51. Abdrakhmanov SK, Sultanov AA, Beisembayev KK, Korennoy FI, Kushubaev DB, Kadyrov AS. Zoning the territory of the Republic of Kazakhstan as to the risk of rabies among various categories of animals. Geospat Health. (2016) 11:e429. doi: 10.4081/gh.2016.429

PubMed Abstract | Crossref Full Text | Google Scholar

52. Mukhanbetkaliyeva AA, Kabzhanova AM, Kadyrov AS, Mukhanbetkaliyev YY, Bakishev TG, Bainiyazov AA, et al. Application of modern spatio-temporal analysis technologies to identify and visualize patterns of rabies emergence among different animal species in Kazakhstan. Geospat Health. (2024) 19:e1290. doi: 10.4081/gh.2024.1290

PubMed Abstract | Crossref Full Text | Google Scholar

53. Ginayatov N, Aitpayeva Z, Zhubantayev I, Kassymbekova L, Zhanabayev A, Abulgazimova G, et al. Smallholder cattle farmers' knowledge, attitudes, and practices toward rabies: a regional survey in Kazakhstan. Vet Sci. (2025) 12:335. doi: 10.3390/vetsci12040335

PubMed Abstract | Crossref Full Text | Google Scholar

54. Karagulov AI, Argimbayeva TU, Omarova ZD, Tulendibayev AB, Dushayeva LZ, Svotina MA, et al. The prevalence of viral pathogens among bats in Kazakhstan. Viruses. (2022) 14:2743. doi: 10.3390/v14122743

PubMed Abstract | Crossref Full Text | Google Scholar

55. Streicker DG, Winternitzc JC, Satterfield DA, Condori-Condori RE, Broos A, Tello C, et al. Host-pathogen evolutionary signatures reveal dynamics and future invasions of vampire bat rabies. Proc Natl Acad Sci U S A. (2016) 113:10926–31. doi: 10.1073/pnas.1606587113

PubMed Abstract | Crossref Full Text | Google Scholar

56. Streicker DG, Recuenco S, Valderrama W, Gomez Benavides J, Vargas I, Pacheco V, et al. Ecological and anthropogenic drivers of rabies exposure in vampire bats: implications for transmission and control. Proc Biol Sci. (2012) 279:3384–92. doi: 10.1098/rspb.2012.0538

PubMed Abstract | Crossref Full Text | Google Scholar

57. Ribeiro J, Staudacher C, Martins CM, Ullmann LS, Ferreira F, Araujo Jr JP, et al. Bat rabies surveillance and risk factors for rabies spillover in an urban area of Southern Brazil. BMC Vet Res. (2018) 14:173. doi: 10.1186/s12917-018-1485-1

PubMed Abstract | Crossref Full Text | Google Scholar

58. Davis AJ, Nelson KM, Kirby JD, Wallace R, Ma X, Pepin KM, et al. Rabies surveillance identifies potential risk corridors and enables management evaluation. Viruses. (2019) 11:1006. doi: 10.3390/v11111006

PubMed Abstract | Crossref Full Text | Google Scholar

59. WHO, FAO, WOAH. Zero by 30: The Global Strategic Plan to End Human Deaths from Dog-Mediated Rabies by 2030. Geneva: World Health Organization (2018).

Google Scholar

Keywords: Bayesian, regression model, time-space, rabies, Kazakhstan, animals

Citation: Gomez-Buendia A, Yessembekova G, Kadyrov A, Mukhanbetkaliyev Y, Cerviño-Luridiana E, Alvarez J, Perez AM and Abdrakhmanov SK (2025) A time-space Bayesian regression model of rabies cases in the animal population of Kazakhstan (2013–2023). Front. Vet. Sci. 12:1640050. doi: 10.3389/fvets.2025.1640050

Received: 03 June 2025; Accepted: 22 October 2025;
Published: 11 November 2025.

Edited by:

Francisco Ruiz-Fons, Spanish National Research Council (CSIC), Spain

Reviewed by:

Muhammad Hammad Hussain, Sultan Qaboos University, Oman
Arman Issimov, The University of Sydney, Australia
Mussoyev Assilbek, Kazakh National Agrarian University, Kazakhstan

Copyright © 2025 Gomez-Buendia, Yessembekova, Kadyrov, Mukhanbetkaliyev, Cerviño-Luridiana, Alvarez, Perez and Abdrakhmanov. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Sarsenbay K. Abdrakhmanov, c19hYmRyYWtobWFub3ZAbWFpbC5ydQ==

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