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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
【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.
【Abstract】 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;
【Key words】 cross-diffusion; Holling type III functional response; predator-prey model; existence of non-constant positive solution;
【Key words】 cross-diffusion; Holling type III functional response; predator-prey model; existence of non-constant positive solution;
【基金】 徐州建筑学院基金项目(JYA3-18)
- 【文献出处】 广西师范学院学报(自然科学版) ,Journal of Guangxi Teachers Education University(Natural Science Edition) , 编辑部邮箱 ,2008年03期
- 【分类号】O175.25
- 【被引频次】2
- 【下载频次】63