Title: The role of nonlocal information in the dispersal of animals in spatiotemporally varying environments
Speaker: Chris Cosner (University of Miami)
Abstract: Recent research on reaction-advection-diffusion models and related integro-differential models for animal movement has shown that in spatially varying but temporally constant environments, animals can achieve an evolutionarily stable spatial distribution on the basis of purely local information about the environment. However, there is empirical evidence that in some situations animals use nonlocal information to inform their movements. Numerical computations give evidence that by using nonlocal information on how to advect and diffuse, animals can improve their success at foraging in some spatiotemporally varying environments. Furthermore, in time periodic environments, it is sometimes possible for animals to achieve an evolutionarily stable spatial distribution by means of diffusion and advection, but to do so requires the use of nonlocal information. This talk will give some background and present some recent results on these topics. The modeling and analysis will be done in the mathematical framework of reaction-advection-diffusion equations.
Seminar URL: https://research.math.osu.edu/pde/
