| 一类食饵-捕食系统收获模型的脉冲控制 |
| |
| 引用本文： | 胡彩霞,李医民. 一类食饵-捕食系统收获模型的脉冲控制[J]. 江南大学学报(自然科学版), 2007, 6(5): 514-517 |
| |
| 作者姓名： | 胡彩霞 李医民 |
| |
| 作者单位： | 1. 江苏大学,理学院,江苏,镇江,212013;山东万杰医学高等专科学校,山东,淄博,255213
2. 江苏大学,理学院,江苏,镇江,212013 |
| |
| 基金项目： | 国家自然科学基金项目(60234010) |
| |
| 摘 要： | 研究了一类功能反应函数为x且捕食者具有常数收获率的食饵-捕食生物模型的稳定性问题.利用脉冲微分方程的比较原理,对该模型进行脉冲控制,得到了当常数收获率充分小时非负平衡点渐近稳定的充分条件.采用数值举例方法说明了该方法的有效性,并给出了生态解释.
|
| 关 键 词： | 脉冲微分方程 脉冲控制 食饵-捕食系统 收获模型 |
| 文章编号： | 1671-7147（2007）05-0514-04 |
| 收稿时间： | 2006-05-17 |
| 修稿时间： | 2006-09-18 |
Impulsive Control of a Kind of Predator-Prey System with Harvest-Ratio |
| |
| HU Cai-xia,LI Yi-min. Impulsive Control of a Kind of Predator-Prey System with Harvest-Ratio[J]. Journal of Southern Yangtze University:Natural Science Edition, 2007, 6(5): 514-517 |
| |
| Authors: | HU Cai-xia LI Yi-min |
| |
| Affiliation: | 1. College of Science, Jiangsu University, Zhenjiang 212013, China; 2. Shandong Wanjie Medical College, Zibo 255213, China |
| |
| Abstract: | The paper studies the stable problem of a predator-prey ecosystem.The system has both functional reaction function x and prey's harvest-ratio.The model is controlled impulsively by using comparison theorem of impulsive differential system.The sufficient condition for this system's unstable positive equilibrium to asymptotic stability is obtained when constant harvest-ratio is small enough.The method is very effective based on the example in number.The paper also presents ecological explanation. |
| |
| Keywords: | impulsive differential system impulsive control predator-prey system harvest model |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
