Special Session 47: 

Bifurcation structure of a prey-predator model with population flux by attractive transition

Kousuke Kuto
University of Electro-Communications
Japan
Co-Author(s):    Kazuhiro Oeda
Abstract:
This talk considers coexistence steady states of a prey-predator model with a strongly coupled diffusion term describing a predators` ability to chase preys. The first topic is the bifurcation structure of steady states and the second topic is the asymptotic behavior of steady states as a coefficient of the strongly coupled diffusion term tends to infinity. A main result asserts that coexistence steady states of the prey-predator model can approach coexistence steady states of an equal diffusive competition model as the coefficient tends to infinity.