Delay Differential Equations

Delay Differential Equations

With Applications in Population Dynamics

1st Edition - January 5, 1993

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  • Editor: Yang Kuang
  • eBook ISBN: 9780080960029

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Description

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.

Readership

Reserachers and students in applied mathematics, population dynamics (biology/ecology) and various engineering subdisciplines in dynamical systems.

Table of Contents

  • Preface

    Part One: DELAY DIFFERENTIAL EQUATIONS
    Chapter 1. Introduction
    Chapter 2. Basic Theory of Delay Differential Equations
    Chapter 3. Characteristic Equations

    Part Two: APPLICATIONS IN POPULATION DYNAMICS
    Chapter 4. Global Stability for Single Species Models
    Chapter 5. Periodic Solutions, Chaos, Structured Single Species Models
    Chapter 6. Global Stability for Multi-Species Models
    Chapter 7. Periodic Solutions i Multi-Species Models
    Chapter 8. Permanence
    Chapter 9. Neutral Delay Models

    References

    Appendix

    Index

Product details

  • No. of pages: 398
  • Language: English
  • Copyright: © Academic Press 1993
  • Published: January 5, 1993
  • Imprint: Academic Press
  • eBook ISBN: 9780080960029

About the Editor

Yang Kuang

Affiliations and Expertise

Arizona State University, Tempe, Arizona

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