一类混合环境中竞争模型的整体分歧与稳定性  

Global Bifurcation and Stability of a Competition Model in aHeterogeneous Environment

作　　者：丁娜[1] 李艳玲[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《安徽师范大学学报（自然科学版）》2009年第6期518-524,共7页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金(10571115);陕西省自然科学基础研究资助项目(2007A1)

摘　　要：研究了混合环境中的竞争模型的共存态问题,利用分歧理论和谱分析的方法,以d为分歧参数,证明了系统在半平凡解(u*,0)附近出现了局部分歧现象,并将其局部分歧延拓为整体分歧,从而得到正平衡解存在的充分条件.同时运用线性特征值的扰动理论和分歧解的稳定性理论判定了局部分歧解的稳定性.The coexistence state of the competition model in a heterogeneous environment is studied.The bifurcation and the stability of this model are investigated by the methods of spectral analysis and bifurcation theory.The local bifurcation from the semitrivial solution（u＊,0） is obtained by treating d as a bifurcation parameter.Moreover,global bifurcation can be obtained.Some sufficient conditions for the existence of positive solution are given.Moreover,some stability results of the bifurcation solutions are obt...

关 键 词：混合环境 椭圆型方程 分歧 稳定性 

分 类 号：O175.26[理学—数学]