Global dynamics of the periodic logistic system with periodic impulsive perturbations
文献类型：期刊论文
| 作者 | Liu, XN; Chen, LS |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2004 |
| 卷号 | 289期号:1页码:279-291 |
| 关键词 | impulsive perturbation logistic system global asymptotical stability extinction |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2003.09.058 |
| 英文摘要 | This paper studies the global behaviors of the periodic logistic system with periodic impulsive perturbations. The results of D.D. Bainov and P.S. Simeonov (1993) are extended and dynamics different from the corresponding continuous system are found. It is shown that the system may have a unique positive periodic solution which is globally asymptotically stable, or go extinct when the two periods are rational dependent. When they are rational independent, the system has no periodic solutions, however, still has a global attractor or go extinct under some conditions. (C) 2003 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000187346400022 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19645]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, XN |
| 作者单位 | 1.SW China Normal Univ, Dept Math, Chongqing 400715, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, XN,Chen, LS. Global dynamics of the periodic logistic system with periodic impulsive perturbations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,289(1):279-291. |
| APA | Liu, XN,&Chen, LS.(2004).Global dynamics of the periodic logistic system with periodic impulsive perturbations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,289(1),279-291. |
| MLA | Liu, XN,et al."Global dynamics of the periodic logistic system with periodic impulsive perturbations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 289.1(2004):279-291. |
入库方式： OAI收割
来源：数学与系统科学研究院
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