【摘要】 构建了具脉冲扰动的时滞Ivlev型捕食系统,获得了捕食者灭绝周期解全局渐近吸引和系统持续生存的充分条件.数值例子验证了理论结果,揭示了系统诸如吸引子突变,高倍周期振动,分支等复杂的动力学行为,最后进行了总结与讨论.更多还原

【Abstract】 A delayed Ivlev type predation system with impulsive perturbation is established.The sufficient conditions for global attractively predator-extinct periodic solution and permanence of the system are obtained.Numerical examples are carried out to verify the theoretical results,and shown that the system considered has very complex dynamical behavior,including attractor crisis,high-order periodic oscillations and bifurcations,etc.The conclusions and discussions are given finally.更多还原