Year: 2020
Author: Ying Huang, Zhong Li
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 2 : pp. 186–194
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18096
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 2 : pp. 186–194
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: predator-prey fear effect stability Hopf bifurcation.