Role of constant prey refuge on stage structure predator–prey model with ratio dependent functional response

作者：

Highlights：

• A stage structured predator–prey model with ratio-dependent functional response and a constant prey refuge is studied.

• Conditions for uniform persistence and global stability have been obtained by constructing suitable Lyapunov function.

• Qualitative analysis is supported by numerical simulations.

• The study shows that constant prey refuge plays an important role on the coexistence of predator–prey species.

摘要

•A stage structured predator–prey model with ratio-dependent functional response and a constant prey refuge is studied.•Conditions for uniform persistence and global stability have been obtained by constructing suitable Lyapunov function.•Qualitative analysis is supported by numerical simulations.•The study shows that constant prey refuge plays an important role on the coexistence of predator–prey species.

论文关键词：Stage structure,Ratio dependent,Prey refuge

论文评审过程：Received 24 May 2017, Revised 22 June 2017, Accepted 2 July 2017, Available online 18 July 2017, Version of Record 18 July 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.07.017