Global Existence of the Solution of a Three-Species Food Chain Model
In ecology,the three-species food chain model is a very important model,and it can describe the inter-action among prey,intermediate predators and higher predators and the change law of their number over time and space.This study considers a food chain model with the nonlinear prey-taxis sensitive function.Under homoge-neous Neumann boundary conditions,when both the initial value and parameter in the model meet a certain condi-tion,the regularity theory of parabolic equations and the necessary prior estimation are used to obtain the global ex-istence of the solution of the model in the case of high dimensions.