Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response

摘要

In this paper, we study a diffusive predatorprey system with modified HollingTanner functional response under homogeneous Neumann boundary condition. The qualitative properties, including the global attractor, persistence property, local and global asymptotic stability of the unique positive constant equilibrium are obtained. We also establish the existence and nonexistence of nonconstant positive steady states of this reactiondiffusion system, which indicates the effect of large diffusivity.