具脉冲扰动的时滞Ivlev型捕食系统  

A Delayed Ivlev Type Predation System with Impulsive Perturbation

作　　者：李顺异[1] 刘文武[1] 熊梅[1] 

机构地区：[1]黔南民族师范学院数学与统计学院,贵州都匀558000

出　　处：《数学的实践与认识》2017年第13期202-207,共6页Mathematics in Practice and Theory

基　　金：贵州省自然科学基金(黔科合基础[2016]1135);贵州省科技厅联合基金(LH[2014]7437;LKQS[2013]12);贵州省教育厅青年项目基金(黔教合KY字[2015]453);黔南民族师范学院中央财政项目基金(2014ZCSX03;2014ZCSX11)

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.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.

关 键 词：时滞 脉冲 捕食系统 灭绝 持续生存 

分 类 号：O175[理学—数学]