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

作　　者：任丽萍[1] 

机构地区：[1]徐州建筑职业技术学院基础部,江苏徐州221008

出　　处：《广西师范学院学报（自然科学版）》2008年第3期30-35,72,共7页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：徐州建筑学院基金项目(JYA3-18)

摘　　要：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.

关 键 词：交错扩散 Holling-Ⅲ型函数响应项 捕食模型 非常数正解 

分 类 号：O175.25[理学—数学]