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一类浮游生物捕食系统的全局分歧 被引量:1

Global bifurcation for predator-prey system on zooplankton
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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.
出处 《计算机工程与应用》 CSCD 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)
关键词 捕食-食饵模型 上下解方法 全局分歧 prey-predator upper-lower solution global bifurcation
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参考文献9

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二级参考文献9

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