Mutual Invadability Implies Coexistence in Spatial Models.

Intro -- Contents -- Introduction -- Example 1. Predator-prey models -- Example 2. Epidemic models -- 1. Perturbation of one-dimensional systems -- 2. Two-species Examples -- Example 2.1. Linear competition with exclusion -- Example 2.2. Two-stage contact process -- Example 2.3. Diploid genetics -- Example 2.4. One-dimensional systems -- Example 2.5. Linear competition without exclusion -- 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 -- Example 7.1. Two-prey, one-predator model -- Example 7.2. Three species food chain -- Example 7.3. Two-predator, one-prey model -- Example 7.4. Two infection model -- 8. Some asymptotic results for our ODE and PDE -- A List of the Invadability Conditions -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.