Existence and Uniqueness of Positive Solution for a Predator-prey Model with Diffusion
一类具有扩散的捕食-食饵模型正解的存在性和惟一性

The predator-prey model with Beddington-DeAngelis functional response is considered. A necessary and sufficient condition for the existence of positive solutions is obtained. Moreover, a range of parameters for the uniqueness of positive solution is described in one dimension. The method used here is based on the global bifurcation theory, the implicit function theorem and the generalized maximum principle.