Stability and Hopf Bifurcation Analysis of a Predator-Prey Model with Time Delayed Incomplete Trophic Transfer

被引：1

作者：

Chang-qin ZHANG ^{[1
]}

Liping LIU ^{[1
,2
]}

Ping YAN ^{[1
]}

Lin-zhong ZHANG ^{[1
]}

机构：

[1] School of Sciences, Anhui Agricultural University

[2] Department of Mathematics, Lakehead University

来源：

ActaMathematicaeApplicataeSinica | 2015年 / 31卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

incomplete trophic transfer; time delay; Ivlev-type; existence and uniqueness; stability; Hopf bifurcation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model,we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed prey to predator in the Ivlev-type functional responses. The existence and uniqueness of the positive equilibrium of the model and the stability of the equilibrium of the model are studied under various conditions.Hopf bifurcation analysis of the delayed model is provided.

引用

页码：235 / 246

页数：12

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