The Coexistence States of a Predator-Prey Model with Nonmonotonic Functional Response and Diffusion

被引：0
作者：
Yunfeng Jia
Jianhua Wu
Hua Nie
机构：
[1] Shaanxi Normal University,College of Mathematics and Information Science
来源：
Acta Applicandae Mathematicae | 2009年 / 108卷
关键词：
Predator-prey model; Coexistence states; Nonmonotonic functional response; Bifurcation theory; Fixed point index; Stability; 35K57;
D O I：
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学科分类号：
摘要：
In this paper, a predator-prey model with nonmonotonic functional response is concerned. Using spectrum analysis and bifurcation theory, the bifurcating solution and its stability of the model are investigated. We discuss the bifurcation solution which emanates from the semi-trivial solution by taking the death rate as a bifurcation parameter. Furthermore, by fixed point’s index theory, the result of existence or nonexistence of positive steady states of the model is also obtained.
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页码：413 / 428
页数：15
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