周期脉冲L-V竞争系统解的全局渐近性质  

The global asymptotic properties of the solutions of periodic impulsive L-V competition system

作　　者：楚玉[1] 窦家维[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2012年第2期135-140,共6页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金项目(10971124);国家自然科学基金项目(61070189)

摘　　要：研究一类具有脉冲效应的Lotka-Volterra周期竞争系统.利用脉冲微分系统的比较原理,Floquet理论及一些分析技巧研究了系统解的有界性及渐近性质,并建立了系统正周期解存在惟一及全局吸引的条件.最后用实例进行数值模拟,解释说明了所获得的主要结论.A class of periodic Lotka-Volterra competition system with impulsive effects is studied. Using the comparison principle of impulsive differential systems,Floquet theory and some analysis techniques, the boundedness and asymptotic properties of the solutions are discussed and the condition that ensures the existence and uniqueness of the periodic solution is established. Moreover, an example is given and some computer simulations are carried to demonstrate the main results.

关 键 词：LOTKA-VOLTERRA竞争系统 脉冲效应 周期解 渐近性质 

分 类 号：O175.14[理学—数学]