计算机工程与应用Issue(18)：18-23,6.DOI:10.3778/j.issn.1002-8331.1503-0180
一类竞争模型分歧解的存在性和稳定性
Existence and stability of bifurcation solutions for competition model
摘要
Abstract
The existence and stability of positive steady state solutions for a competition model with diffusion are studied under Dirichlet boundary condition. By using bifurcation theory and standard elliptic equations regularity theory, the exis-tence of bifurcation solutions for steady state is analyzed. The sufficient condition of the existence is obtained and is verified by the numerical simulations. By the linear stability theory, the stable condition of bifurcation solutions is given. The research results show that the system can reach the stable coexistence state when the parameters satisfy certain conditions.关键词
Dirichlet边界/竞争模型/分歧解/稳定性Key words
Dirichlet boundary/competition model/bifurcation solution/stability分类
数理科学引用本文复制引用
王利娟,姜洪领..一类竞争模型分歧解的存在性和稳定性[J].计算机工程与应用,2015,(18):18-23,6.基金项目
国家自然科学基金（No.11201277，No.11401356）；陕西省教育厅科研计划项目（No.14JK1035，No.14JK1862）；宝鸡文理学院重点科研项目（No.ZK12043，No.ZK15038）。 （）
