Building ecological and epidemiological models in continuous time, equilibria and their stability, phase plane analysis, stability by linearization, Lyapunov function method, inverse Lyapunov theorems with application to perturbed systems and Vidyasagar theorem, Poincaré-Bendixon theory on planar dynamical systems.

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Continuous Time Non-linear Models for Interacting Species and Age-Structured Populations

  • Jacek Banasiak

摘要

Building ecological and epidemiological models in continuous time, equilibria and their stability, phase plane analysis, stability by linearization, Lyapunov function method, inverse Lyapunov theorems with application to perturbed systems and Vidyasagar theorem, Poincaré-Bendixon theory on planar dynamical systems.