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

作　　者：Ying Huang Zhong Li 

机构地区：[1]College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,Fujian,PR China

出　　处：《Annals of Applied Mathematics》2020年第2期186-194,共9页应用数学年刊（英文版）

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.

关 键 词：PREDATOR-PREY fear effect stability Hopf bifurcation 

分 类 号：O175[理学—数学] Q141[理学—基础数学]