This book provides an introduction to the theory of ordinary differential equations and its applications to population dynamics.
Part I focuses on linear systems. Beginning with some modeling background, it considers existence, uniqueness, stability of solution, positivity, and the Perron–Frobenius theorem and its consequences.
Part II is devoted to nonlinear systems, with material on the semiflow property, positivity, the existence of invariant sub-regions, the Linearized Stability Principle, the Hartman–Grobman Theorem, and monotone semiflow.
Part III...
This book provides an introduction to the theory of ordinary differential equations and its applications to population dynamics.