| 一类具有脉冲效应的Lotka-Volterra系统的动力学行为 |
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| 引用本文： | 付家敏,田宝单.一类具有脉冲效应的Lotka-Volterra系统的动力学行为[J].西南科技大学学报,2012,27(1):87-90. |
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| 作者姓名： | 付家敏 田宝单 |
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| 作者单位： | 1. 电子科技大学自动化工程学院,四川成都,611731
2. 西南科技大学理学院,四川绵阳621010／电子科技大学数学科学学院,四川成都611731 |
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| 基金项目： | 国家自然科学基金项目(61074126);四川省教育厅科研基金项目(11ZB192) |
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| 摘 要： | 对一类具有Michaelis-Menton型功能反应和脉冲效应的Lotka-Volterra捕食系统进行研究,利用脉冲比较定理、Floquet理论及微小扰动法等得到了食饵种群灭绝周期解全局稳定和系统持续生存的充分条件。最后利用Matlab软件对上述情形进行了数值模拟。
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| 关 键 词： | 脉冲效应 Floquet理论 全局渐近稳定 持久生存 |
Dynamical Behaviors of a Lotka-Volterra Model with Impulsive Effect |
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| FU Jia-min,TIAN Bao-dan.Dynamical Behaviors of a Lotka-Volterra Model with Impulsive Effect[J].Journal of Southwest University of Science and Technology,2012,27(1):87-90. |
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| Authors: | FU Jia-min TIAN Bao-dan |
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| Institution: | 2,3(1.School of Automation Engineering,University of Electronic Science and Technology of China, Chengdu 611731,Sichuan,China;2.School of Sciences,Southwest University of Science and Technology, Mianyang 621010,Sichuan,China;3.School of Mathematics and Science,University of Electronic Science and Technology of China,Chengdu 611731,Sichuan,China;) |
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| Abstract: | In this paper,a class of Lotka-Volterra prey-predator system with Michaelis-Menton type functional response and impulsive effects was studied.By using impulsive comparison theorem,Floquet theory and the small amplitude perturbation skill,some sufficient conditions of the global asymptotic stability of the prey-eradication periodic solution and the persistence for the system were obtained.Finally,some numerical simulations for above circumstances were presented by Matlab software. |
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| Keywords: | Impulsive effect Floquet theory Global stability Persistence |
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