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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: http://dx.doi.org/10.1090/memo/0740
MathSciNet review: 1879853
MSC (2000): Primary 60K35; Secondary 34C60, 35J15, 35J60, 35R45, 62P10, 92D25

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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