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