Frontiers in Applied Mathematics and Statistics

Original Research

Published on 13 Apr 2026

A multi-host deterministic-stochastic framework for giardiasis transmission: branching-process extinction analysis and continuous-time Markov chain dynamics

in Mathematical Biology

Christopher Chukwuma Asogwa
Ifeanyi Sunday Onah

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1799489

Editorial

Accepted on 10 Apr 2026

Editorial: Integrative Mathematical Models for Disease: Volume II

in Mathematical Biology

Joseph Malinzi
Preeti Dubey

Frontiers in Applied Mathematics and Statistics

Original Research

Published on 02 Apr 2026

Formulating likelihood functions for infectious disease dynamics for neglected tropical diseases

in Mathematical Biology

Renata Retkute
T. Déirdre Hollingsworth
Amanda Minter

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1798581

327 views

Original Research

Accepted on 24 Mar 2026

Qualitative dynamics and optimal control of a delayed algae–fish bioeconomic system with nitrate recycling

in Mathematical Biology

Saida Khiyar
MOHAMED HAFDANE
Hamza BOUTAYEB
Imane ELBERRAI

Frontiers in Applied Mathematics and Statistics

Original Research

Published on 18 Mar 2026

Effective transport and minimal invasion speed in a vector-host model of cassava mosaic disease with partial cross-protection

in Mathematical Biology

Myunghyun Oh

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1791613

201 views

Original Research

Published on 20 Feb 2026

Analysis of mitigation strategies for respiratory syncytial virus: perspectives from mathematical modeling

in Mathematical Biology

Lone Raphaladi
Morelyn Sigauke
Hatson John Boscoh Njagarah
Zhivko Nedev

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1767887

432 views

Original Research

Published on 17 Feb 2026

On estimating phenomenological model states for epileptic seizure prediction

in Mathematical Biology

Aamer Iqbal Bhatti

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1709607

487 views

Original Research

Published on 11 Feb 2026

Spiral waves and turbulence in mathematical models of oncolytic virotherapy induced by Hopf bifurcation

in Mathematical Biology

Tejas Bansod
Thomas Hillen

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1774485

536 views
1 citation

Original Research

Published on 28 Jan 2026

Analysis of a mathematical model of human papillomavirus transmission dynamics with optimal control for cervical cancer prevention

in Mathematical Biology

Ogechi Regina Amanso
Jeconia Okelo Abonyo
Phineas Roy Kiogora
Obiora Cornelius Collins
Nnaemeka Stanley Aguegboh

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1677512

1,048 views

Original Research

Published on 23 Jan 2026

Impact of healthcare system collapse on hospital-acquired infection dynamics: a mathematical approach

in Mathematical Biology

Maria M. Shaale
Luke O. Joel
Farai Nyabadza

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1713373

1,763 views

Perspective

Published on 09 Jan 2026

Iterative calibration of medical digital twins via adaptive estimators

in Mathematical Biology

Juan E. Sereno
Havilah Neujahr
Miguel Hernandez-Gonzalez
Esteban A. Hernandez-Vargas

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1699390

996 views

Original Research

Published on 10 Dec 2025

Maxwell® an AAAA classifier well-suited to biomedical data clustering

in Mathematical Biology

Joël Gardes
Jules Brice Tchatchueng-Mbougua
Christophe Maldivi
Mariem Jelassi
Houssem ben Khalfallah
Jacques Demongeot

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1634300

965 views

Original Research

Published on 09 Dec 2025

Mathematical model of influenza infection suggests JAK–STAT activity drives severe pathologies in juvenile mice

in Mathematical Biology

Lauren L. Luciani
Lauren M. Nichols
Brydie R. Huckestein
John F. Alcorn
Jason E. Shoemaker

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1694710

1,563 views

Systematic Review

Published on 25 Nov 2025

Extreme heat and disease burden in Southern Africa: a systematic review

in Mathematical Biology

Maeti Antoinette George

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1698123

1,354 views

Opinion

Published on 25 Nov 2025

From brain to motion: harnessing higher-derivative mechanics for neural control

in Mathematical Biology

Olivier White
Fabien Buisseret
Frédéric Dierick
Nicolas Boulanger

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1692890

1,283 views

Original Research

Published on 04 Nov 2025

Forecasting epidemic peaks with the index of dispersion of new cases

in Mathematical Biology

Jacques Demongeot
Haiwe Adam Ouangko
Maryam Diarra
Leila Gofti-Laroche

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1670077

1,218 views

Original Research

Published on 28 Oct 2025

Directed graph theory for the analysis of biological regulatory networks

in Mathematical Biology

Martha Takane
Saúl Bernal-González
Jesús Mauro-Moreno
Gustavo García-López
Francisco F. De-Miguel

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1644869

1,710 views

Brief Research Report

Published on 20 Oct 2025

A mathematical model for data-driven synthesis of neuron morphologies based on random walks

in Mathematical Biology

Francesco Cavarretta

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1632271

1,784 views

Original Research

Published on 10 Sep 2025

A diffusion-based HIV model with inflammatory cytokines and adaptive immune impairment

in Mathematical Biology

N. H. AlShamrani

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1659816

1,469 views
1 citation

Original Research

Published on 19 Aug 2025

Sensitivity analysis for a delay mathematical model: the glucose-insulin model

in Mathematical Biology

Mostafa Bachar

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1562636

2,986 views

Original Research

Published on 18 Jul 2025

Individual-based multiscale model for foot-and-mouth disease

in Mathematical Biology

Blessings Mufoya
Dephney Mathebula
Winston Garira

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1608265

1,486 views

Original Research

Published on 16 Jul 2025

Dynamics and stability of a within-host HIV-HBV co-infection model with time delays

in Mathematical Biology

Ahmed M. Elaiw
Abdulaziz S. Alhmadi
Aatef D. Hobiny

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1633039

1,948 views
1 citation

Hypothesis and Theory

Published on 19 Jun 2025

Dynamic complexity of a delayed spatiotemporal predator-prey model

in Mathematical Biology

Mohamed Hafdane
Nossaiba Baba
Youssef El Foutayeni
Naceur Achtaich

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1523276

3,032 views
4 citations

Editorial

Published on 19 Jun 2025

Editorial: Modeling ecological and epidemiological interactions for sustainable practices

in Mathematical Biology

Nossaiba Baba
Sayooj Aby Jose
Imane Agmour
Asmaa Idmbarek

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1641824

1,769 views
2 citations

146 articles

articles

A multi-host deterministic-stochastic framework for giardiasis transmission: branching-process extinction analysis and continuous-time Markov chain dynamics

Editorial: Integrative Mathematical Models for Disease: Volume II

Formulating likelihood functions for infectious disease dynamics for neglected tropical diseases

Qualitative dynamics and optimal control of a delayed algae–fish bioeconomic system with nitrate recycling

Effective transport and minimal invasion speed in a vector-host model of cassava mosaic disease with partial cross-protection

Analysis of mitigation strategies for respiratory syncytial virus: perspectives from mathematical modeling

On estimating phenomenological model states for epileptic seizure prediction

Spiral waves and turbulence in mathematical models of oncolytic virotherapy induced by Hopf bifurcation

Analysis of a mathematical model of human papillomavirus transmission dynamics with optimal control for cervical cancer prevention

Impact of healthcare system collapse on hospital-acquired infection dynamics: a mathematical approach

Iterative calibration of medical digital twins via adaptive estimators

Maxwell® an AAAA classifier well-suited to biomedical data clustering

Mathematical model of influenza infection suggests JAK–STAT activity drives severe pathologies in juvenile mice

Extreme heat and disease burden in Southern Africa: a systematic review

From brain to motion: harnessing higher-derivative mechanics for neural control

Forecasting epidemic peaks with the index of dispersion of new cases

Directed graph theory for the analysis of biological regulatory networks

A mathematical model for data-driven synthesis of neuron morphologies based on random walks

A diffusion-based HIV model with inflammatory cytokines and adaptive immune impairment

Sensitivity analysis for a delay mathematical model: the glucose-insulin model

Individual-based multiscale model for foot-and-mouth disease

Dynamics and stability of a within-host HIV-HBV co-infection model with time delays

Dynamic complexity of a delayed spatiotemporal predator-prey model

Editorial: Modeling ecological and epidemiological interactions for sustainable practices