Delay Differential Equations
With Applications in Population Dynamics
- 1st Edition, Volume 191 - January 5, 1993
- Latest edition
- Editor: Yang Kuang
- Language: English
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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Description
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
Readership
Reserachers and students in applied mathematics, population dynamics (biology/ecology) and various engineering subdisciplines in dynamical systems.
Table of contents
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
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
Product details
- Edition: 1
- Latest edition
- Volume: 191
- Published: February 2, 2012
- Language: English
About the editor
About the editor
YK
Yang Kuang
Affiliations and expertise
Arizona State University, Tempe, ArizonaView book on ScienceDirect
View book on ScienceDirect
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