Special Session 90: 

Taxis Mechanisms in Modeling Interacting Populations

Jonathan Bell
University of Maryland Baltimore County
USA
Co-Author(s):    E.C. Haskell
Abstract:
In an ecosystem one can expect predation rates to be higher in regions where prey density is higher. This leads to non-random foraging. External signals tend to effect an animal`s movement, one being taxis. Motivated by various biological examples, we introduce the notions of direct and indirect taxis, then focus on analyzing a specific predator-prey model involving both types to taxis mechanisms. This includes global existence, positivity, stationary bifurcation, and stability of bifurcating solutions. We also present some simulation results.