节点文献
一类强耦合互惠模型的共存解
Coexistence of a Strongly Coupled System Describing a Mutualistic Model
【摘要】 采用上下解及相应的单调迭代序列的方法,结合Schauder不动点定理,研究带Dirichlet边界条件的两种群的互惠模型强耦合问题共存解.结果说明,当交错扩散和种间作用相对弱时,强耦合问题就至少存在一个解.
【Abstract】 This paper deals with a two-species mutualistic model.With the method of upper and lower solutions,its associated monotone iterations and the fixed point theorem,the coexistence solutions to a strongly coupled elliptic system are studied.Our results show that this model possesses at least one coexistence state if cross-diffusions and cross-reactions are weak.
【关键词】 反应扩散系统;
互惠模型;
强耦合;
共存解;
【Key words】 reaction-diffusion system; mutualistic model; strongly coupled; coexistence;
【Key words】 reaction-diffusion system; mutualistic model; strongly coupled; coexistence;
【基金】 国家自然科学基金资助项目(10671172);江苏省自然科学基金资助项目(BK2006064)
- 【文献出处】 徐州师范大学学报(自然科学版) ,Journal of Xuzhou Normal University(Natural Science Edition) , 编辑部邮箱 ,2007年02期
- 【分类号】O175.2
- 【下载频次】77