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.