Display Abstract

Title A reaction-diffusion model for producers and scroungers

Name George C Cosner
Country USA
Email gcc@math.miami.edu
Co-Author(s) Andrew Nevai
Submit Time 2014-02-25 13:50:22
Session
Special Session 18: Nonlinear elliptic and parabolic problems
Contents
This talk will present a reaction-diffusion model for interacting populations of producers that obtain resources directly from the environment and scroungers that obtain resources by stealing them from producers. (The technical term for this is kleptoparasitism.) That situation arises frequently in nature. Like many ecological models, the model can be analyzed in terms of permanence/persistence theory, with invasibility conditions determined by the principal eigenvalues of linearized problems, but the model is different in detail from standard competition and predator-prey models.