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Differential Equations and Population Dynamics I

Name: Differential Equations and Population Dynamics I
Brand: Springer Nature Switzerland AG
SKU: 38720689
Price: 33.99 EUR
Availability: InStock
Author: Arnaud Ducrot
ISBN: 9783030981358

Introductory Approaches

Lingua

Inglese

Libro In brossura

Codice Libristo: 38720689

Casa editrice Springer Nature Switzerland AG, giugno 2022

This book provides an introduction to the theory of ordinary differential equations and its applicat... Descrizione completa

Codice Libristo: 38720689

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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 understanding of infectious diseases by applying the theoretical results to COVID-19, combining data and epidemic models. Throughout the book the material is illustrated by numerical examples and their MATLAB codes are provided.Bridging an interdisciplinary gap, the book will be valuable to graduate and advanced undergraduate students studying mathematics and population dynamics.