Manuscript Topics

For decades, mathematical modeling helped scientists understand the mechanisms behind experimental observations and predict the behavior of complex real systems. Extensive use of mathematical models in epidemiology, ecology, and medicine not only allowed to validate hypotheses based on experimental data, but also led to experimentally verifiable theoretical predictions. Mathematical models often bring new insights into the dynamics of complex biological systems, enriching our understanding of how interactions between system components impact the dynamics of the entire system. Mathematical modeling in biology both adopts ideas from other life sciences with established methodology like physics and chemistry and develops its own mathematical and computational approaches.
 The Guest Editors invite original contributions addressing mathematical models that arise in biology, epidemiology, ecology, medicine.

The topics include but are not limited to the following:
• Asymptotic behavior of solutions.
• Existence of oscillatory and non-oscillatory solutions
• Existence of bounded, periodic solutions, and limit cycles.
• Stability properties of solutions.
• Bifurcation phenomena.
• Chaotic behavior.
• Numerical simulations of complex processes.

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