具有反馈控制的N种群非自治LOTKA-VOLTERRA竞争系统的全局吸引性  

Global Attractivity of Nonautonomous N-Species Lotka-Volterra Competitive Systems with Feedback Controls

作　　者：冯晓梅[1] 董海茵[2] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]新疆农业职业技术学院,新疆乌鲁木齐831100

出　　处：《数学的实践与认识》2010年第12期248-252,共5页Mathematics in Practice and Theory

基　　金：山西省自然科学基金项目(2009011005-3);山西省高等学校科技研究开发自选项目(20091149)

摘　　要：讨论了非自治N种群Lotka-volterra竞争反馈控制模型,主要采用构造适当的Lyapunov泛函的方法,同时应用Barbalat引理得到了系统全局吸引的判别准则,而且给出了周期系统存在全局吸引的正周期解的充分条件,最后利用数值模拟验证了所得结论.In this paper, nonautonomous n-species lotka-volterra competitive system with feedback controls is studied. Some new criteria of global attractivity are established by constructing Lyapunov function and Barbalat lemma, moreover, we obtain some sufficient conditions that guarantee the existence of the positive periodic solution about the periodic system. Finally a example is given as the application of thereom.

关 键 词：反馈控制 全局吸引 N种群 竞争 

分 类 号：O175[理学—数学]