| 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 |
| |
| 引用本文： | 冯晓梅,董海茵.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[J].数学的实践与认识,2010,40(12). |
| |
| 作者姓名： | 冯晓梅 董海茵 |
| |
| 基金项目： | 山西省自然科学基金，山西省高等学校科技研究开发自选项目 |
| |
| 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.
|
| 关 键 词： | 反馈控制 全局吸引 N种群 竞争 |
Global Attractivity of Nonautonomous N-Species Lotka-Volterra Competitive Systems with Feedback Controls |
| |
| FENG Xiao-mei,DONG Hai-yin.Global Attractivity of Nonautonomous N-Species Lotka-Volterra Competitive Systems with Feedback Controls[J].Mathematics in Practice and Theory,2010,40(12). |
| |
| Authors: | FENG Xiao-mei DONG Hai-yin |
| |
| Abstract: | 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. |
| |
| Keywords: | feedback controls global attractivity N species competitive |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
