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Mutual invadability implies coexistence in spatial models
About this Title
Rick Durrett
Publication: Memoirs of the American Mathematical Society
Publication Year:
2002; Volume 156, Number 740
ISBNs: 978-0-8218-2768-0 (print); 978-1-4704-0333-1 (online)
DOI: https://doi.org/10.1090/memo/0740
MathSciNet review: 1879853
MSC: Primary 60K35; Secondary 34C60, 35J15, 35J60, 35R45, 62P10, 92D25
Table of Contents
Chapters
- Introduction
- 1. Perturbation of one-dimensional systems
- 2. Two-species examples
- 3. Lower bounding lemmas for PDE
- 4. Perturbation of higher-dimensional systems
- 5. Lyapunov functions for Lotka Volterra systems
- 6. Three species linear competion models
- 7. Three species predator-prey systems
- 8. Some asymptotic results for our ODE and PDE