具有避难所的捕食-食饵模型的全局分歧

具有避难所的捕食-食饵模型的全局分歧

张丽娜,李艳玲,解玉龙

陕西师范大学数学与信息科学学院，陕西西安 710062

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 张丽娜

Global bifurcation of a predator-prey system incorporating a prey refuge

ZHANG Li-na, LI Yan-ling, XIE Yu-long

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

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHANG Li-na

摘要/Abstract

摘要： 研究了一类具有避难所的两物种间的捕食-食饵模型,其功能反应函数为HollingⅢ型。主要利用分歧理论,结合极值原理,得到系统非常数正解的存在性。在一维情况下,对于非常数正解的全局分歧结构给出了细节的描述。

关键词: 避难所, 全局分歧 , 极值原理, HollingⅢ型

Abstract: A predator-prey system between two species with Holling type Ⅲ functional response incorporating a prey refuge was discussed. The existence of positive steady-state solutions was derived mainly through the global bifurcation and the maximum principle of elliptic equations. In a one dimensional case, a detailed description for the global bifurcation of the set of the non-constant steady states was given.

Key words: global bifurcation , maximum principle, Holling type Ⅲ, prey refuge

中图分类号:

O175.26

张丽娜,李艳玲,解玉龙 . 具有避难所的捕食-食饵模型的全局分歧[J]. J4, 2007, 42(12): 110-115 .

ZHANG Li-na,LI Yan-ling,XIE Yu-long . Global bifurcation of a predator-prey system incorporating a prey refuge[J]. J4, 2007, 42(12): 110-115 .

参考文献

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