Differential Equations and Population Dynamics I (eBook, PDF)

Differential Equations and Population Dynamics I (eBook, PDF)

Introductory Approaches

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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 opens up new perspectives for the understan...

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