一类捕食模型正平衡解的整体分歧  

Bifurcation of positive steady-state solutions for a kind of predator-prey model

作　　者：李海侠[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：《西北师范大学学报（自然科学版）》2006年第2期8-12,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10071048)

摘　　要：研究了一类捕食者-食饵模型的平衡态系统在第三边界条件下正解的存在性.利用局部分歧和整体分歧定理讨论了该系统的整体分歧,最后得到了正解存在的充要条件.The existence of positive solutions of the steady-state system is studied for a kind of predatorprey model under the third boundary conditions. Global bifurcation for the system is discussed by means of local bifurcation theory and global bifurcation theory, and a sufficient and necessary condition of the existence of positive solutions is obtained.

关 键 词：捕食者-食饵系统 主特征值 局部分歧 整体分歧 

分 类 号：O175.26[理学—数学]