| 具有阶段结构和群体防卫的脉冲捕食系统 |
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| 引用本文： | 李顺异,薛颖,薛先贵.具有阶段结构和群体防卫的脉冲捕食系统[J].生物数学学报,2013(4):690-695. |
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| 作者姓名： | 李顺异 薛颖 薛先贵 |
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| 作者单位： | [1]黔南民族师范学院数学系,贵州都匀558000 [2]重庆城市管理职业学院信息工程学院,重庆401331 |
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| 基金项目： | 贵州省教育厅青年项目基金（[2010]096） |
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| 摘 要： | 讨论了食饵具有群体防卫和捕食者具有阶段结构的脉冲控制捕食系统，根据Floquet乘子理论和脉冲比较定理，获得了食饵（害虫）灭绝周期解局部稳定与系统持续生存的充分条件．利用Matlab软件对害虫灭绝周期解和害虫周期爆发现象进行了数值模拟，并揭示了诸如高倍周期振荡，混沌，吸引子突变等复杂的动力学现象．得出的结论为害虫治理提供了可靠的策略依据．
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| 关 键 词： | 阶段结构 群体防卫 脉冲 灭绝 持续生存 |
An Impulsive Prey-predator System with Stage-structure and Group Defence |
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| LI Shun-yi,XUE Ying,XUE Xian-gui.An Impulsive Prey-predator System with Stage-structure and Group Defence[J].Journal of Biomathematics,2013(4):690-695. |
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| Authors: | LI Shun-yi XUE Ying XUE Xian-gui |
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| Institution: | 1 (1 Department of Mathematics, Qiannan Normal College for Nationalities, Duyun Guizhou 558000 China) (2 Information Engineering Institute, Chongqing City Management College, Chongqing 401331 China) |
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| Abstract: | An predator-prey system with group defence for prey and stage-structure for predator concerning impulsive contro｜ling strategy was considered. The sufficient conditions for locally stable of prey-eradication periodic solution and permanence of the system are given, by us- ing Floquet theorem and comparison theorem of impulsive differential equation. The phenomenon of the pest-eradication periodic solution and the periodic out burst of pest are simulated by Mat- lab. And show that the system considered has more complicated dynamics, such as high order periodic oscillating, chaos, attractor crisis, etc. Our results provide reliable strategy basis for pest management. |
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| Keywords: | Stage-structure Group defence Impulsive Extinction Permanence |
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