Mutual invadability implies coexistence in spatial models

DOI10.1090/memo/0740zbMath0992.60092OpenAlexW1991295458MaRDI QIDQ2783396

Richard T. Durrett

Publication date: 21 April 2002

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0740

zbMATH Keywords

reaction-diffusion equationinteracting stochastic particle systemsspatially distributed populationsmean field ordinary differential equation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Qualitative theory for ordinary differential equations (34C99) Genetics and population dynamics (92Dxx)

Related Items

Dimorphism by singularity theory in a model for river ecology ⋮ The 1996 Wald memorial lectures. Stochastic models of interacting systems ⋮ Bone remodeling as a spatial evolutionary game ⋮ Analysis of integrodifference equations with a separable dispersal kernel ⋮ Coexistence in host-pathogen systems ⋮ Horizontal versus vertical transmission of parasites in a stochastic spatial model ⋮ Evolution in predator-prey systems ⋮ Coexistence for a multitype contact process with seasons ⋮ Coexistence in stochastic spatial models