Global asymptotical stability and sliding bifurcation analysis of a general Filippov-type predator-prey model with a refuge

作者：

Highlights：

• A general Filippov-type predator-prey model with a refuge is proposed.

• A The necessary and sufficient conditions for the global asymptotical stability of a standard cycle, a touching cycle and a sliding cycle are present.

• The sliding cycle is proved to be globally finite-time stable.

• Several kinds of sliding bifurcations are investigated.

摘要

•A general Filippov-type predator-prey model with a refuge is proposed.•A The necessary and sufficient conditions for the global asymptotical stability of a standard cycle, a touching cycle and a sliding cycle are present.•The sliding cycle is proved to be globally finite-time stable.•Several kinds of sliding bifurcations are investigated.

论文关键词：Filippov-type,Refuge,Threshold policy,Sliding cycle,Sliding bifurcation,Globally finite-time stable

论文评审过程：Received 15 July 2020, Revised 27 January 2021, Accepted 5 April 2021, Available online 23 April 2021, Version of Record 23 April 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126263