Chaotic dynamics of a discrete predator–prey system with prey refuge

作者:

Highlights:

• Discrete time Prey–predator system with prey refuge is considered here.

• Predator’s attack rate largely varies with the escaping ability of the prey.

• System experiences complex dynamics with varying the strength of prey refuge.

• System experiences Hopf and flip bifurcations.

• The computations of Lyapunov exponent confirms the chaotic dynamics of the system.

摘要

•Discrete time Prey–predator system with prey refuge is considered here.•Predator’s attack rate largely varies with the escaping ability of the prey.•System experiences complex dynamics with varying the strength of prey refuge.•System experiences Hopf and flip bifurcations.•The computations of Lyapunov exponent confirms the chaotic dynamics of the system.

论文关键词:Predator–Prey interaction,Prey refuge,Hopf-bifurcation,Flip bifurcation,Invariant closed curve,Chaos

论文评审过程:Available online 5 October 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.09.001