Qualitative analysis for a ratio-dependent predator–prey model with disease and diffusion

摘要

This paper is purported to study a reaction diffusion system arising from a ratio-dependent predator–prey model with disease. We study the dynamical behavior of the predator–prey system. The conditions for the permanent and existence of steady states and their stability are established. We can obtain the bounds for positive steady state of the corresponding elliptic system. The non-existence results of non-constant positive solutions are derived.