Impact of the fear effect in a prey-predator model incorporating a prey refuge

作者：

Highlights：

• A prey-predator model incorporating fear factor is developed.

• A globally stable theorem of coexistence equilibrium is established.

• The existences of Hopf bifurcation and limit cycle are shown.

• The fear effect can not only reduce the population density of predator, but also stabilize the system by excluding the existence of periodic solutions.

摘要

•A prey-predator model incorporating fear factor is developed.•A globally stable theorem of coexistence equilibrium is established.•The existences of Hopf bifurcation and limit cycle are shown.•The fear effect can not only reduce the population density of predator, but also stabilize the system by excluding the existence of periodic solutions.

论文关键词：Prey-predator,Fear effect,Stability,Limit cycle,Prey refuge

论文评审过程：Received 23 January 2019, Revised 4 March 2019, Accepted 11 March 2019, Available online 2 April 2019, Version of Record 2 April 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.03.034