一类带Holling和Leslie types反应项的捕食系统的分歧解

J4 ›› 2009, Vol. 44 ›› Issue (6): 79-84.

一类带Holling和Leslie types反应项的捕食系统的分歧解

冯孝周^1,2,李艳玲¹

1. 陕西师范大学数学与信息科学学院, 陕西西安 710062; 2. 西安工业大学数理系, 陕西西安710032

收稿日期:2008-09-11 发布日期:2011-06-03
作者简介:冯孝周(1979-),男，博士研究生,讲师，研究方向为偏微分方程应用. Email: flxzfxz8@163.com
基金资助:
国家自然科学基金资助项目(10571115,10726042);西安工业大学校长基金资助项目(XAGDXJJ0830)

Bifurcation solutions of a preypredator model with Holling and Leslie response

FENG Xiaozhou^1,2, LI Yanling¹

1. College of Mathematics and Information Science, Shaanxi Normal Un iversity, Xi’an 710062, Shaanxi, China; 2. Department of Mathematics and Physics, Xi’an Technological University, Xi’a n 710032, Shaanxi, China

Received:2008-09-11 Published:2011-06-03

摘要/Abstract

摘要：

研究了一类带Holling和Leslie型反应项的捕食系统在Dirichlet边界条件下的平衡态局部分歧解与全局分歧解,给出了局部分歧解存在的充分条件和稳定性,得到了该系统平衡态的全局分歧解及其走向。

关键词: 捕食系统; 平衡态; 稳定性; 分歧

Abstract:

The local bifurcation and it’s stability, the global bifurcation and it’s jumps of global bifurcation solutions of steadystates in a preypredator system with Holling and Leslie response and Dirichlet boundary conditions are investigated. The sufficient conditions for existence of bifurcating solutions of the preypredator system and its jump are obtained.

Key words: preypredator system; steadystate; stability; bifu rcation

中图分类号:

O17526

. 一类带Holling和Leslie types反应项的捕食系统的分歧解[J]. J4, 2009, 44(6): 79-84.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed