Nonlinear dynamics provides an essential framework for exploring complex phenomena in biological and medical sciences. By utilizing mathematical models, primarily expressed through differential equations, researchers can delve into the intricate nonlinear behaviors that define living systems. This approach is invaluable for elucidating phenomena that defy linear explanation, offering a granular look at physiological and ecological interactions. Recent advances employ sophisticated mathematical techniques to uncover the nuances of these systems, significantly enhancing our understanding and contributing to breakthroughs in medical diagnostics and treatments.

This Research Topic aims to consolidate cutting-edge research that harnesses nonlinear dynamics to push the boundaries of knowledge in biology and medicine. By focusing on high-quality research and review articles, the goal is to foster a comprehensive understanding of how complex interactions within biological systems are modeled and analyzed, aiding in the prediction of emergent behaviors and optimizing treatment protocols.

The scope of this Research Topic is twofold. Initially, the focus is on mathematical applications that model dynamic biological and medical systems. In doing so, the topic seeks to advance our understanding of diverse biological processes and their implications on medical treatments and ecological assessments. Specifically, we invite contributions related to, but not limited to, the following themes:

- Dynamical systems
- Disease modeling
- Modeling of tumor growth and treatment
- Modeling immune reactions to infections, vaccinations, and drugs
- Ecological modeling related to climate change
- Stability and bifurcation analysis of models
- Qualitative theory of differential equations
- Advanced numerical methods and simulations

By exploring these themes, the topic aims to highlight innovative methodologies and findings that contribute to the evolution of mathematical modeling in scientific research.

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Frontiers in Applied Mathematics and Statistics

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