一类浮游生物捕食系统的全局分歧  

Global bifurcation for predator-prey system on zooplankton

作　　者：李洁琼[1] 李艳玲[1] 

机构地区：[1]陕西师范大学数学科学学院,西安710062

出　　处：《计算机工程与应用》2012年第36期54-57,69,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.10971124);教育部高等学校博士点专项基金(No.200807180004)

摘　　要：主要研究一类在齐次第一边界条件下浮游植物和浮游动物的捕食-食饵模型。给出了平衡态方程解的先验估计。利用分歧理论,以b为分歧参数,得到平衡态系统正解的存在性,将局部分歧延拓为全局分歧。结果表明连通分支C延伸向无穷。A prey-predator system on zooplankton is investigated under the Dirichlet boundary condition. The priori estimates of steady-state solutions are given. Based on treating b as the bifurcation parameter, the existence of positive steady-state solution is derived by the global bifurcation theory, and the local bifurcation is extended to global bifurcation. The continuum C joining up with infinity is proved.

关 键 词：捕食-食饵模型 上下解方法 全局分歧 

分 类 号：O175.26[理学—数学]