TY - BOOK AU - Durrett,Rick TI - Mutual Invadability Implies Coexistence in Spatial Models T2 - Memoirs of the American Mathematical Society SN - 9781470403331 AV - QA274 -- .D87 2002eb U1 - 510 s;519.2 PY - 2002/// CY - Providence PB - American Mathematical Society KW - Stochastic processes KW - Reaction-diffusion equations KW - Biology -- Mathematical models KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114358 ER -