Browse Catalogues


Dynamical Systems and Population Persistence
 
Hal L Smith, Horst R Thieme
Price : ₹ 1140.00
ISBN : 978-1-4704-2561-6
Language : English
Pages : 424
Binding : Paperback
Book Size : 180 x 240 mm
Year : 2016
Series : American Mathematical Society
Territorial Rights : Restricted
Imprint : No Image
 
 
About the Book

The mathematical theory of persistence answers questions such as which species, in a mathematical model of interacting species, will survive over the long term. It applies to infinite-dimensional as well as to finite-dimensional dynamical systems, and to discrete-time as well as to continuous-time semiflows. This book provides a self-contained treatment of persistence theory that is accessible to graduate students. Applications play a large role from the beginning. These include ODE models such as SEIRS infectious disease in a meta-population and discrete-time nonlinear matrix models of demographic dynamics. Entire chapters are devoted to infinite-dimensional examples including an SI epidemic model with variable infectivity, microbial growth in a tubular bioreactor, and an age-structured model of cells growing in a chemostat.

Table of Contents

Preface 
Chapter 1. Semiflows on Metric Spaces 
Chapter 2. Compact Attractors 
Chapter 3. Uniform Weak Persistence 
Chapter 4. Uniform Persistence 
Chapter 5. The Interplay of Attractors, Repellers, and Persistence 
Chapter 6. Existence of Nontrivial Fixed Points via Persistence 
Chapter 7. Nonlinear Matrix Models: Main Act 
Chapter 8. Topological Approaches to Persistence 
Chapter 9. An SI Endemic Model with Variable Infectivity 
Chapter 10. Semiflows Induced by Semilinear Cauchy Problems 
Chapter 11. Microbial Growth in a Tubular Bioreactor 
Chapter 12. Dividing Cells in a Chemostat 
Chapter 13. Persistence for Nonautonomous Dynamical Systems 
Chapter 14. Forced Persistence in Linear Cauchy Problems 
Chapter 15. Persistence via Average Lyapunov Functions 
Appendix A. Tools from Analysis and Differential Equations  
Appendix B. Tools from Functional Analysis and Integral Equations 
Bibliography
Index

Contributors (Author(s), Editor(s), Translator(s), Illustrator(s) etc.)

Hal L Smith is Professor at the School of Mathematical and Statistical Sciences, College of Liberal Arts and Sciences, Arizona State University, Tempe, USA.

Horst R Thieme is Professor at the School of Mathematical and Statistical Sciences, College of Liberal Arts and Sciences, Arizona State University, Tempe, USA.

Home | About Us | Our Associates | Publish with Us |  Our Network | Contact Us
Copyright © Orient BlackSwan, All rights reserved. See Disclaimer and Privacy Policy, Terms and Conditions   Frequently Asked Questions Bookmark and Share