| 带有脉冲控制的生物系统种群持久存在性问题研究 |
| |
| 引用本文： | 王晓梅,钟守铭.带有脉冲控制的生物系统种群持久存在性问题研究[J].数学研究及应用,2011,31(6):1035-1046. |
| |
| 作者姓名： | 王晓梅 钟守铭 |
| |
| 作者单位： | 电子科技大学数学科学学院, 四川 成都 610054;电子科技大学应用数学学院, 四川 成都 610054; 电子科技大学神经信息教育部重点实验室, 四川 成都 610054 |
| |
| 基金项目： | 国家自然科学基金(Grant No.Y60804015),国家重点基础研究规划资助项目 (Grant No.Y2010CB732501). |
| |
| 摘 要： | In this paper,on the basis of the theories and methods of ecology and ordinary differential equations,an ecological model with an impulsive control strategy is established.By using the theories of impulsive equations,small amplitude perturbation skills and compar-ison technique,we get the condition which guarantees the global asymptotical stability of the prey-x-eradication and predator-y-eradication periodic solution.It is proved that the system is permanent.Furthermore,numerical simulations are also illustrated which agree well with our theoretical analysis.All these results may be useful in study of the dynamic complexity of ecosystems.
|
| 关 键 词： | 控制策略 生态模型 持久性 常微分方程 脉冲 物种 生态系统 渐近稳定性 |
| 收稿时间： | 7/8/2010 12:00:00 AM |
| 修稿时间： | 2011/1/12 0:00:00 |
Species Permanence Analysis of an Ecological Model with an Impulsive Control Strategy |
| |
| Xiao Mei WANG and Shou Ming ZHONG.Species Permanence Analysis of an Ecological Model with an Impulsive Control Strategy[J].Journal of Mathematical Research with Applications,2011,31(6):1035-1046. |
| |
| Authors: | Xiao Mei WANG and Shou Ming ZHONG |
| |
| Institution: | 1. School of Mathematics Sciences, University of Electronic Science and Technology of China,Sichuan 610054, P. R. China
2. School of Mathematics Sciences, University of Electronic Science and Technology of China,Sichuan 610054, P. R. China;Key Laboratory for NeuroInformation of Ministry of Education, University of Electronic Science and Technology of China, Sichuan 610054, P. R. China |
| |
| Abstract: | In this paper, on the basis of the theories and methods of ecology and ordinary differential equations, an ecological model with an impulsive control strategy is established. By using the theories of impulsive equations, small amplitude perturbation skills and comparison technique, we get the condition which guarantees the global asymptotical stability of the prey-$x$-eradication and predator-$y$-eradication periodic solution. It is proved that the system is permanent. Furthermore, numerical simulations are also illustrated which agree well with our theoretical analysis. All these results may be useful in study of the dynamic complexity of ecosystems. |
| |
| Keywords: | impulsive control strategy locally asymptotically stable complex dynamics periodic solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
