一类捕食-食饵模型平衡解的整体分歧  

Global bifurcation of positive steady-state solution for a kind of predator-prey model

作　　者：权利娜[1] 

机构地区：[1]陕西学前师范学院,西安710061

出　　处：《计算机工程与应用》2013年第15期56-59,共4页Computer Engineering and Applications

基　　金：陕西学前师范学院科研基金项目(No.2012KJ041)

摘　　要：利用分歧理论和谱分析的方法研究了一类捕食-食饵模型平衡解的整体分歧,得到了在以d为分歧参数的条件下,系统在半平凡解(θ0)附近出现分歧现象,得到了该模型正解存在的充分条件。The global bifurcation of a positive steady-state solution for a kind of predator-prey model is investigated by the methods of spectral analysis and bifurcation theory. The bifurcation at the positive steady-state solution（θ, O） is acquired by treating d as a bifurcation parameter. Some sufficient conditions for the existence of positive solution are given.

关 键 词：捕食-食饵模型 整体分歧 平衡解 分歧理论 谱分析 

分 类 号：O175.26[理学—数学]