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一类时滞脉冲Lotka-Volterra系统的概周期解 被引量：6

Almost Periodic Solutions for a Class of Lotka-Volterra Systems with Impulses and Delays
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摘要 本文利用Lyapunov函数的方法,研究一类时滞脉冲Lotka-Volterra系统的概周期解的存在性,得出保证方程存在概周期解的一组充分条件。 By applying the method of Lyapunov＇ s functions, the existence and uniqueness of almost periodic solutions for a class of Lotka-Volterra systems with impulses and infinite delays are investigated. A sufficient condition which ensures the existence of almost periodic solutions is derived.
作者 薛晋栋 冯春华
机构地区 广西师范大学数学与统计学院
出处 《广西师范大学学报（自然科学版）》 CAS 北大核心 2014年第1期69-73,共5页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(11361010)
关键词 LYAPUNOV函数 LOTKA-VOLTERRA系统 概周期解 脉冲 时滞 Lyapunov＇ s functions Lotka-Volterra system almost periodic solution impulsive effect delay
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献10

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共引文献21

同被引文献57

  • 1李建利,申建华.具脉冲时滞的Duffing型方程的周期解[J].应用数学学报,2005,28(1):124-133. 被引量：11
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  • 3张泽薇,谭佳.基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质[J].新疆大学学报（自然科学版）,2007,24(3):289-293. 被引量：1
  • 4HONG Zhang, LANSUN Chen. A Delayed Epidemic Model with Stage-structure and Pulses for Pest Management Strategy [ J ]. Non- linear Analysis: Real World Applications. 2008, 9 (4) : 1714 - 1726.
  • 5JIANG Guirong, LU Qishao. Impulsive Ecological Control of Staged-structured Pest Management System [ J ], Mathematical Bio- sciences and Engineering. 2005, 2 ( 2 ) : 329 - 344.
  • 6ZHANG Weipeng, FAN Meng. Periodicity in a generalized ecolog- ical competition system governed by impulsive differential equa- tions with delays [ J]. Mathematical and Computer Modelling, 2004, 39(4 -5) :479 -493.
  • 7LI Xiaoyue, ZHANG Xiaoying. A New Existence Theory for Posi- tive Periodic Solutions to Functional Differential Equations Wiyh Impulse Effects [ J ]. Computer & Mathematics with Applications, 2006, 51(12) : 1761 -1772.
  • 8LIU Bing, CHEN Lansun. Dynamic Complexities in Lotka-Volter- ra Predator-prey System Concerning Impulsive Control Strategy [ J ]. Intemationd Journal of Bifurcation and Chaos in Applied Sci- ences and Engineering,2005,15(2) :517 -531.
  • 9LIU Bing, CHEN Lansun. Dynamic Complexities of a Holling I Predator -prey Model Concerning Periodic Biological and Chemi-cal Control[ J ]. 2004,22 ( 1 ) : 123 - 134.
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引证文献6

二级引证文献7

广西师范大学学报（自然科学版）
2014年 第1期

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