带有交错扩散的捕食模型的非常数正解的存在性

The Existence of Non-constant Positive Steady-state Solutions for a Prey-predator Model with Cross-diffusion

研究了一类带交错扩散的捕食模型稳态问题非常数正解的存在性.证明了猎物的自扩散率较大或者交错扩散率较大的时候,强耦合系统至少存在一个非常数正解.

This paper deals with the existence of non - constant positive steady - state solutions for the steady state problem of a predator - prey model with cross - diffusion. It is proved that the strongly coupled prey- predator system has at least one non - constant positive solution if the self - diffusion of predator or cross- diffusion is large enough.