Delay Differential Equations

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.


Inhalt
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

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