| 一类带有回馈控制的捕食-食饵模型正周期解的存在性(英文) |
| |
| 引用本文： | 王彩丽,张建勋.一类带有回馈控制的捕食-食饵模型正周期解的存在性(英文)[J].宁波大学学报(理工版),2012(2):51-56. |
| |
| 作者姓名： | 王彩丽 张建勋 |
| |
| 作者单位： | 宁波大学理学院 |
| |
| 摘 要： | 研究了一类具有Hassell-Varely功能性反应函数的食饵-捕食模型的回馈控制系统,利用比较连续定理和一致度定理,证明了系统正周期解的存在性,并通过构造Lyapunov函数给出了系统全局稳定性的充分条件和证明.
|
| 关 键 词： | Hassell-Varely功能反应函数 食饵-捕食系统 一致度定理 全局稳定性 |
Existence of Periodic Solution for a Predator-prey System with Feedback Control |
| |
| WANG Cai-li,ZHANG Jian-xun.Existence of Periodic Solution for a Predator-prey System with Feedback Control[J].Journal of Ningbo University(Natural Science and Engineering Edition),2012(2):51-56. |
| |
| Authors: | WANG Cai-li ZHANG Jian-xun |
| |
| Institution: | (Faculty of Science,Ningbo University,Ningbo 315211,China) |
| |
| Abstract: | A Hassell-Varely type predator-prey system with feedback controls is studied.Using the comparison,continuation theorems and coincidence degree theorem,the existence of positive periodic solutions for the system is proven.Also,a set of sufficient conditions for global stability is derived through constructing a Lyapunov function. |
| |
| Keywords: | Hassell-Varely type predator-prey coincidence degree theorem Lyapunov function global stability |
| 本文献已被 CNKI 等数据库收录！ |
