The field of eco-epidemic systems is increasingly focusing on the utilization of optimal control to stabilize ecosystems impacted by diseases. This interdisciplinary area leverages mathematical models to allocate resources effectively, aiming to manage epidemics across plant, animal, and human populations. Traditionally, studies have employed pesticides as a control measure, while more recent research emphasizes integrated pest management strategies, merging biological, cultural, and chemical methods. This convergence of mathematical modeling, ecology, and epidemiology holds the promise of crafting sustainable strategies, addressing disease management within ecosystems, and employing optimal control theory. Recent studies have shown promising results, yet significant gaps remain, especially in the integration and application of diverse modeling techniques across various ecosystem contexts.

This Research Topic aims to delve deeper into the mathematical models and control mechanisms that underpin eco-epidemic systems. By exploring theoretical frameworks, innovative modeling approaches, and stability analyses, the goal is to elucidate efficient control strategies that can be applied to achieve eco-epidemic stability. Furthermore, the field seeks to answer pivotal questions such as: How can optimal control techniques be better employed to assess and mitigate the effects of diseases in complex ecosystems? Which innovative methods can be devised to enhance the predictability and effectiveness of epidemic management? Addressing these questions involves not only testing various hypotheses but also developing a robust understanding of the foundational concepts and interactions within these systems.

To gather further insights in this domain, we welcome articles addressing, but not limited to, the following themes:

- Dynamics of predator-prey systems with disease in prey
- Dynamics of predator-prey systems with disease in predator
- Crop pest management models with control approaches
- Intervention strategies for plant disease modeling and control
- Innovative mathematical modelling approaches, including fractional calculus and stochastic methods
- Stability analysis and optimal control of multi-disease transmission dynamics
- Model predictive control for epidemic systems
- Population dynamics and their effects on disease transmission
- Theoretical frameworks for understanding basic reproduction numbers and stability
- Application of control theories, such as impulsive and feedback control

We invite contributions that provide rigorous analyses, novel methodologies, and theoretical advancements that deepen the understanding and management of these complex systems, thereby contributing significantly to the field of eco-epidemic stability.

Are you interested in contributing a manuscript to this Research Topic?

Harnessing Optimal Control for Eco-Epidemic Stability: A Vision for Future Ecosystems