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Dynamical Systems and Population Persistence
About this Title
Hal L. Smith, Arizona State University, Tempe, AZ and Horst R. Thieme, Arizona State University, Tempe, AZ
Publication: Graduate Studies in Mathematics
Publication Year:
2011; Volume 118
ISBNs: 978-0-8218-4945-3 (print); 978-1-4704-1180-0 (online)
DOI: https://doi.org/10.1090/gsm/118
MathSciNet review: MR2731633
MSC: Primary 92D25; Secondary 34-02, 34D05, 35B41, 37N25, 39A60
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- 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