The Stability of a Predator-Prey Model with Fear Effect in Prey and Square Root Functional Response
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@Article{AAM-36-186,
author = {Huang , Ying and Li , Zhong},
title = {The Stability of a Predator-Prey Model with Fear Effect in Prey and Square Root Functional Response},
journal = {Annals of Applied Mathematics},
year = {2020},
volume = {36},
number = {2},
pages = {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.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18096.html} }
TY - JOUR
T1 - The Stability of a Predator-Prey Model with Fear Effect in Prey and Square Root Functional Response
AU - Huang , Ying
AU - Li , Zhong
JO - Annals of Applied Mathematics
VL - 2
SP - 186
EP - 194
PY - 2020
DA - 2020/08
SN - 36
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18096.html
KW - predator-prey, fear effect, stability, Hopf bifurcation.
AB -
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.
Ying Huang & Zhong Li. (2020). The Stability of a Predator-Prey Model with Fear Effect in Prey and Square Root Functional Response.
Annals of Applied Mathematics. 36 (2).
186-194.
doi:
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