具有饱和竞争项的捕食系统的二重分歧解及稳定性

J4 ›› 2012, Vol. 47 ›› Issue (5): 103-107.

具有饱和竞争项的捕食系统的二重分歧解及稳定性

冯孝周^1,2,聂华²

1. 西安工业大学理学院, 陕西西安 710032; 2. 陕西师范大学数科院, 陕西西安 710062

收稿日期:2010-11-10 出版日期:2012-05-20 发布日期:2012-06-01
作者简介:冯孝周(1979- ),男,博士, 讲师, 研究方向为偏微分方程及其应用.Email:flxzfxz8@163.com
基金资助:
国家自然科学基金资助项目(10726042);西安工业大学校长基金资助项目(XAGDXJJ1136);陕西省教育厅科学基础研究计划项目(09JK480)

Bifurcation solutions and stability of a predator-prey system with predator saturation and competition

FENG Xiao-zhou^1,2, NIE Hua²

1. College of Science, Xi’an Technological University, Xi’an 710032, Shaanxi, China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China

Received:2010-11-10 Online:2012-05-20 Published:2012-06-01

摘要/Abstract

摘要：

利用Lyapunov-Schmidt过程研究了一类具有饱和竞争项的捕食系统发自二重特征值处的分歧解的存在惟一性,并且判定了这些分歧解的渐近稳定性。

关键词: 捕食系统;分歧解;渐近稳定性

Abstract:

A predator-prey system with predator saturation and competition is investigated. The uniqueness, existence and stability of bifurcation solution which bifurcates from double multiplicity eigenvalue are obtained by using the Lyapunov-Schmidt procedure.

Key words: predator-prey system; bifurcation solutions; asymptotical stability

冯孝周1,2,聂华2. 具有饱和竞争项的捕食系统的二重分歧解及稳定性[J]. J4, 2012, 47(5): 103-107.

FENG Xiao-zhou1,2, NIE Hua2. Bifurcation solutions and stability of a predator-prey system with predator saturation and competition[J]. J4, 2012, 47(5): 103-107.

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