Global dynamics of an additional food provided predator–prey system with constant harvest in predators

作者:

Highlights:

• Predators are provided with additional food and harvested at a constant rate.

• Provision of additional food enhances the stable and oscillatory coexistence.

• Complete global dynamics is studied with harvesting as a bifurcation parameter.

• All possible local and global bifurcation scenarios are identified.

• Bogdanov–Takens and homoclinic bifurcation indicates extinction of predators.

摘要

•Predators are provided with additional food and harvested at a constant rate.•Provision of additional food enhances the stable and oscillatory coexistence.•Complete global dynamics is studied with harvesting as a bifurcation parameter.•All possible local and global bifurcation scenarios are identified.•Bogdanov–Takens and homoclinic bifurcation indicates extinction of predators.

论文关键词:Stable coexistence,Oscillatory coexistence,Extinction,Local bifurcation,Global bifurcation

论文评审过程:Available online 16 November 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.10.085