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| THE STABILITY OF A PREDATOR-PREY MODEL WITH FEAR EFFECT IN PREY AND SQUARE ROOT FUNCTIONAL RESPONSE |
| Ying Huang,Zhong Li |
| (College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China) |
| DOI： |
| 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. |
| Key words: predator-prey; fear effect; stability; Hopf bifurcation |