Delay Differential Equations: With Applications in Population Dynamics

✍ Scribed by Yang Kuang (Eds.)

Publisher: AP
Year: 1993
Tongue: English
Leaves: 412
Series: Mathematics in Science and Engineering 191
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.

✦ Table of Contents

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages ix-xii
Yang Kuang

1 Introduction
Pages 3-13

2 Basic Theory of Delay Differential Equations
Pages 15-62

3 Characteristic Equations
Pages 63-116

4 Global Stability for Single Species Models
Pages 119-171

5 Periodic Solutions, Chaos, Structured Single Species Models
Pages 173-204

6 Global Stability for Multi-Species Models
Pages 205-246

7 Periodic Solutions in Multi-Species Models
Pages 247-271

8 Permanence
Pages 273-310

9 Neutral Delay Models
Pages 311-351

References Review Article
Pages 353-373

Appendix
Pages 375-393

Index
Pages 395-398

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