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| 污染环境下具瞬时与非瞬时脉冲收获的单种群动力学模型 | |
| 引用本文： | 焦建军,陈兰荪,李利梅.污染环境下具瞬时与非瞬时脉冲收获的单种群动力学模型[J].吉林大学学报(理学版),2002,57(5):1088-1094. |
| 作者姓名： | 焦建军 陈兰荪 李利梅 |
| 作者单位： | 1. 贵州财经大学 数学与统计学院, 贵阳 550004； 2. 中国科学院 数学研究所, 北京 100080；3. 贵州财经大学 继续教育学院, 贵阳 550004 |
| 摘 要： | 利用脉冲微分方程理论, 研究污染环境下具瞬时与非瞬时脉冲收获的单种群动力学模型, 给出系统种群持续生存的充分条件. 结果表明， 瞬时脉冲收获量与非瞬时脉冲收获区间长度对系统种群持久有重要作用. |
| 关 键 词： | 污染环境 瞬时脉冲收获 非瞬时脉冲收获 区间长度 灭绝 持久 |
| 收稿时间： | 2019-03-01 |
Dynamics of Single Population Model with Transientand Non-transient Impulsive Harvesting in Polluted Environment#br# |
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| JIAO Jianjun,CHEN Lansun,LI Limei.Dynamics of Single Population Model with Transientand Non-transient Impulsive Harvesting in Polluted Environment#br#[J].Journal of Jilin University: Sci Ed,2002,57(5):1088-1094. | |
| Authors: | JIAO Jianjun CHEN Lansun LI Limei |
| Institution: | 1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China; 2. Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China; 3. School of Continuing Education, Guizhou University of Finance and Economics, Guiyang 550004, China |
| Abstract: | Using the theories of impulsive differential equations,we investigated the dynamics of a single population model with transient and non transient impulsive harvesting in pollutedenvironment, and gave the sufficient conditions for the permanence of thepopulation. The results show that the amount of transient impulsive harvesting and the non transient impulsive harvesting interval length play important roles in the permanence of the population. |
| Keywords: | polluted environment transient impulsive harvesting non-transient impulsive harvesting interval length extinction permanence |
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