一类浮游生物捕食系统的全局分歧

计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (36): 54-57.

一类浮游生物捕食系统的全局分歧

李洁琼，李艳玲

陕西师范大学数学科学学院，西安 710062

出版日期:2012-12-21 发布日期:2012-12-21

Global bifurcation for predator-prey system on zooplankton

LI Jieqiong, LI Yanling

College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Online:2012-12-21 Published:2012-12-21

摘要/Abstract

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。

关键词: 捕食-食饵模型, 上下解方法, 全局分歧

Abstract: 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.

Key words: prey-predator, upper-lower solution, global bifurcation

李洁琼，李艳玲. 一类浮游生物捕食系统的全局分歧[J]. 计算机工程与应用, 2012, 48(36): 54-57.

LI Jieqiong, LI Yanling. Global bifurcation for predator-prey system on zooplankton[J]. Computer Engineering and Applications, 2012, 48(36): 54-57.

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