纺织高校基础科学学报2012，Vol.25Issue(3)：299-303,5.
一类捕食-食饵模型的全局分歧研究
Research on global bifurcation of a predator-prey model
摘要
Abstract
In this paper, the existence of positive solution of the steady-state system for the predator-prey model with Holling type Ⅱ functional response incorporating a prey refuge is studied. Firstly,by the linearized stability theory, the stability of positive constant steady-state solution is obtained. Secondly, by the Crandall-Rabinowitz local bifurcation theory,the existence of local bifurcation positive solution is obtained. Finally,resorting to the global bifurcation theory,the local bifurcation solution to the global one is extended. The results show that the predator and prey can co-exist under certain conditions.关键词
捕食-食饵模型/Holling Ⅱ型/稳定性/全局分歧Key words
predator-prey model/ Holling Ⅱ type/stability/ global bifurcation分类
数理科学引用本文复制引用
李善兵,李艳玲..一类捕食-食饵模型的全局分歧研究[J].纺织高校基础科学学报,2012,25(3):299-303,5.基金项目
国家自然科学基金资助项目(10971124),教育部高等学校博士点专项基金资助(100807180004) （10971124）
