Extinction and permanence of a two-prey one-predator system with impulsive effect
文献类型：期刊论文
| 作者 | Zhang, YJ; Liu, B; Chen, LS |
| 刊名 | MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA
 |
| 出版日期 | 2003-12-01 |
| 卷号 | 20期号:4页码:309-325 |
| 关键词 | two-prey one-predator system impulsive effect permanence extinction |
| ISSN号 | 0265-0746 |
| 英文摘要 | In this paper, we investigate a two-prey one-predator system with impulsive effect on the predator of fixed moment. By using Floquet's theorem and small-amplitude perturbation skills, we show that there exists a globally asymptotically stable two-pest eradication periodic solution when the impulsive period is less than some critical value. Further, we prove that the system is permanent if the impulsive period is larger than some critical value, and meanwhile the conditions for the extinction of one of the two prey and permanence of the remaining two species are given. Finally, numerical simulation shows that there exists a stable positive periodic solution with a maximum value no larger than a given level. Therefore, we can use the stability of the positive periodic solution and its period to control insect pests at acceptably low levels. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000188753100001 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18725]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, LS |
| 作者单位 | 1.Dalian Univ Technol, Dalian 116024, Liaoning, Peoples R China 2.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, YJ,Liu, B,Chen, LS. Extinction and permanence of a two-prey one-predator system with impulsive effect[J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA,2003,20(4):309-325. |
| APA | Zhang, YJ,Liu, B,&Chen, LS.(2003).Extinction and permanence of a two-prey one-predator system with impulsive effect.MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA,20(4),309-325. |
| MLA | Zhang, YJ,et al."Extinction and permanence of a two-prey one-predator system with impulsive effect".MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA 20.4(2003):309-325. |
入库方式： OAI收割
来源：数学与系统科学研究院
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