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

被引：21
|
作者：
Jia, Yunfeng [1 ]
Wu, Jianhua [1 ]
Nie, Hua [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 02期
基金：
美国国家科学基金会;
关键词：
Predator-prey model; Coexistence states; Nonmonotonic functional response; Bifurcation theory; Fixed point index; Stability; STEADY-STATES; BIFURCATION; SYSTEM; EQUATIONS; STABILITY;
D O I：
10.1007/s10440-008-9319-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：16
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