| 具功能反应的脉冲食饵两捕食者系统的分支与混沌 |
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| 引用本文： | 吴兴杰,黄文韬,马忠军. 具功能反应的脉冲食饵两捕食者系统的分支与混沌[J]. 合肥工业大学学报(自然科学版), 2009, 32(2) |
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| 作者姓名： | 吴兴杰 黄文韬 马忠军 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541005;桂林电子科技大学,数学与计算科学学院,广西,桂林,541005;桂林电子科技大学,数学与计算科学学院,广西,桂林,541005 |
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| 基金项目： | 国家自然科学基金，广西研究生教育创新计划，广西高等学校优秀人才资助计划项目 |
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| 摘 要： | 文章基于害虫综合管理策略,利用脉冲比较定理、Floquent理论及微小扰动法,研究了具有功能反应、脉冲比例收获和脉冲常数投放的食饵两捕食者系统的分支与混沌,给出了投放临界值p*2,得到了系统灭绝和持续生存的充分条件,最后讨论了该生物综合管理策略的有效性.数值模拟表明,随着投放量p2的增加,系统出现倍周期分支、对称破裂分支、混沌、半周期分支、吸引子突变等复杂的动力学性质.
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| 关 键 词： | 食饵-捕食者 脉冲微分系统 脉冲比较定理 分支 混沌 |
Bifurcation and chaos of a one-prey two-predator impulsive system with functional response |
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| WU Xing-jie,HUANG Wen-tao,MA Zhong-jun. Bifurcation and chaos of a one-prey two-predator impulsive system with functional response[J]. Journal of Hefei University of Technology(Natural Science), 2009, 32(2) |
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| Authors: | WU Xing-jie HUANG Wen-tao MA Zhong-jun |
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| Affiliation: | School of Mathematics and Computational Science;Guilin University of Electronic Technology;Guilin 541005;China |
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| Abstract: | In this paper,a class of prey-predator systems with functional response,impulsive ratio harvest and impulsive release is established by the strategy of integrated pest management.The critical value p*2 of impulsive immigration and sufficient conditions for the system to be extinct or sustainable are given by using the impulsive comparison theorem,Floquent theory and small amplitude perturbation skill.Numerical simulations show that with the increasing of immigration p2 the system has more complex dynamics i... |
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| Keywords: | prey-predator impulsive differential system impulsive comparison theorem bifurcation chaos |
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