被捕食者具有流行病的被捕食-捕食模型分析

被捕食者具有流行病的被捕食-捕食模型分析

李建军¹, 李健², 高文杰¹

1. 吉林大学数学研究所, 长春 130012; 2. 吉林农业大学信息技术学院, 长春 130118

收稿日期:2008-06-19 修回日期:1900-01-01 出版日期:2009-03-26 发布日期:2009-03-26
通讯作者: 高文杰

Analysis of a Preypredator Model for Prey with Epidemic Disease

LI Jianjun¹, LI Jian², GAO Wenjie¹

1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Information Technology, Jilin Agricultural University, Changchun 130118, China

Received:2008-06-19 Revised:1900-01-01 Online:2009-03-26 Published:2009-03-26
Contact: GAO Wenjie

摘要/Abstract

摘要： 运用上下解方法研究一个反应扩散方程组解的存在惟一性, 给出了非正常数稳态解的存在与不存在条件, 并以具有疾病的捕食者扩散系数为分歧参数, 证明了非正常数的稳态解可以从常数稳态解分歧出来.

关键词: 生态流行病, 分歧, 非正常数稳态解, 被捕食捕食模型

Abstract: The existence and uniqueness of the solution of a reactiondiffusion system was studied by means of the method of upper and lower solutions. Existence and nonexistence results about the nonconstant steady states of the system were given. It was also proved that if the diffusion coefficient of the prey with epidemic disease is treated as bifurcation parameter, nonconstant positive steadystate solutions may bifurcate from the constant steadystate solution under some conditions.

Key words: ecoepidemiology, bifurcations, nonconstant positive steady solution, preypredator model

中图分类号:

O175.8

李建军, 李健, 高文杰. 被捕食者具有流行病的被捕食-捕食模型分析[J]. J4, 2009, 47(02): 191-196.

LI Jianjun, LI Jian, GAO Wenjie. Analysis of a Preypredator Model for Prey with Epidemic Disease[J]. J4, 2009, 47(02): 191-196.

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