Modern biology and epidemiology have become more and more driven by the need for mathematical models and theory to elucidate general phenomena arising from the complexity of interactions on the numerous spatial, temporal, and hierarchical scales at which biological systems operate and diseases spread. Epidemic modeling and studies of disease spread such as gonorrhea, HIV/AIDS, BSE, foot and mouth disease, measles, and rubella have had an impact on public health policies around the world which includes the United Kingdom, The Netherlands, Canada, and the United States. A wide variety of modeling approaches are involved to build up suitable models. Ordinary differential equation models, partial differential equation models, delay differential equation models, stochastic differential equation models, difference equation models, and nonautonomous models are examples of modeling approaches that are useful and are capable of providing applicable strategies for the coexistence and conservation of species in danger, to prevent the overexploitation of natural resources, to control diseases’ outbreak, to make optimal dosing polices for the drug administration, etc.

This special issue is concerned with the nonlinear dynamic modeling and related analysis for interacting populations and important epidemic diseases. We aim to provide a platform for the discussion of the major research challenges, appropriate methodologies, and recent achievements in the said directions. Appropriate mathematical models with new insights, relevant analysis of models, and validation with the help of numerical simulations are most welcome. Potential topics include, but are not limited to:

• Nonlinear dynamic models of species interactions
• Nonlinear dynamic models of epidemic models
• Global bifurcation analysis
• Spatiotemporal pattern formation
• Stochastic differential equation models
• Delay differential equation models
• Nonautonomous models
• Difference equation models
• Models for the spread of epidemics
• Control of epidemic diseases
• Biological invasion
• Numerical methods in nonlinear dynamics

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