一个含对流项的反应扩散捕食模型正解的存在性OA北大核心CSTPCD

In this paper,we focus on the existence of positive solutions of a reaction-diffusion predator model with advection term.This model can be used to describe the relationship between the predator species and the prey species with a tendency that predators choose to hunt away from the high-density area of prey species.Based on a priori estimate for positive solutions,the non-existence of positive solu-tions with respect to the growth rate of both species is established by using the eigenvalue theory and homogenization theory.Then the existence of positive solutions for different parameter conditions is es-tablished by using the bifurcation theory.