摘要
本文讨论一类带小扩散系数的竞争系统的非平凡定态解.应用分歧理论及不定权函数的方法,证明了渐近稳定的正解的存在性与唯一性,这恰好表明系统出现共存状态.
We discuss nontrivial steady-state solutions of a competitionsystems with small diffusion in which two interacting species u and v inhibitthe same bounded region,By using methods of bifurcation theory and indefin-ite weight function,we prove the existence and uniqueness of solutions whichare positive in both u and v and asymptotically stable corresponding to thecase where the populations can co-exist.
出处
《数学杂志》
CSCD
北大核心
1993年第4期512-518,共7页
Journal of Mathematics
基金
Projects supported by National Natural Science Fundation of China
关键词
竞争扩散系统
分歧
共存性
competition diffusion system
bifurcation
indefinite
weight function
coexistence
