带有饱和项的两物种互惠模型正平衡解的整体分歧  

Global bifurcation of positive steady-state solutions for a cooperative model with saturation terms

作　　者：李小丽[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：《商丘师范学院学报》2009年第6期17-23,共7页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(10571115);陕西省自然科学基础研究资助项目(2007A11)

摘　　要：研究了一类两个物种同时带有饱和项的互惠模型平衡态正解的存在性,首先利用单调解的方法得到了此解的先验估计,然后利用分歧理论和度理论研究了在λ1-c<a<λ1和a>λ1两种情况下非常数平衡解的存在性以及全局分歧解的结构.In this paper, the existence of positive solutions of the steady states system are discussed for cooperative model with saturating terms for two species. By using the monotone method, the estimate of the solutions is studied, and by means of the bifurcation theorem and the degree theorem, the existence and the global bifurcation structure of the non - constant steady states solutions for two cases （ λ1 - c〈a〈λ1 and a 〉λ1） are studied.

关 键 词：互惠模型 先验估计 局部分歧 整体分歧 

分 类 号：O175.26[理学—数学]