THE STABILITY OF A PREDATOR-PREY MODEL WITH FEAR EFFECT IN PREY AND SQUARE ROOT FUNCTIONAL RESPONSE

被引：0

作者：

Ying Huang ^{[1
]}

Zhong Li ^{[1
]}

机构：

[1] College of Mathematics and Computer Science, Fuzhou University

来源：

AnnalsofAppliedMathematics | 2020年 / 36卷 / 02期

关键词：

predator-prey; fear effect; stability; Hopf bifurcation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程]; Q141 [数学生态学与生物模型];

学科分类号：

070104 ; 0701 ;

摘要：

In this paper, we consider a predator-prey model with fear effect and square root functional response. We give the singularity of the origin and discuss the stability and Hopf bifurcation of the trivial equilibrium and the positive equilibrium. We show that the fear effect has no effect on prey density, but will lead to the decrease of predator populations.

引用

页码：186 / 194

页数：9

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