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Delay Differential Equations
With Applications in Population Dynamics
1st Edition - January 5, 1993
Editor: Yang Kuang
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 9 6 0 0 2 - 9
Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays.… Read more
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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.
Reserachers and students in applied mathematics, population dynamics (biology/ecology) and various engineering subdisciplines in dynamical systems.
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
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
- No. of pages: 398
- Language: English
- Published: January 5, 1993
- Imprint: Academic Press
- eBook ISBN: 9780080960029
YK
Yang Kuang
Affiliations and expertise
Arizona State University, Tempe, Arizona