Display Abstract

Title Avoidance behavior in intraguild communities: A cross-diffusion model

Name Robert Stephen Cantrell
Country USA
Email rsc@math.miami.edu
Co-Author(s) Robert Stephen Cantrell and Daniel Ryan
Submit Time 2014-02-19 13:56:08
Session
Special Session 18: Nonlinear elliptic and parabolic problems
Contents
A cross-diffusion model of an intraguild predation community where the intraguild prey employs a fitness based avoidance strategy is examined. The avoidance strategy employed is to increase motility in response to negative local fitness. Global existence of trajectories and the existence of a compact global attractor is proved. It is shown that if the intraguild prey has positive fitness at some point in the habitat when trying to invade, then it will be uniformly persistent in the system if its avoidance tendency is sufficiently strong. This type of movement strategy can lead to coexistence states in which the intraguild prey is marginalized to areas with low resource productivity while the intraguild predator maintains high densities in regions with abundant resources, a pattern observed in many real world intraguild predation systems.