The dynamics of an impulsive delay predator-prey model with variable coefficients
文献类型：期刊论文
| 作者 | Meng, Xin-zhu1; Chen, Lan-Sun2; Li, Qing-xue3 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2008-04-15 |
| 卷号 | 198期号:1页码:361-374 |
| 关键词 | permanence impulsive effects predator-prey model time delays global attractivity periodic solution |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2007.08.075 |
| 英文摘要 | In this paper, we formulate a new robust two-species nonautonomous predator - prey model with multi-delays and impulsive effects and perform a systematic mathematical and ecological study. Our results in this paper indicate that under the appropriate linear periodic impulsive perturbations, the system is permanent and has a unique positive globally attractive semi-trivial periodic solution. By using the Brouwer fixed point theorem, we prove that if the periodic system is permanent, then there is at least one positive periodic solution of the system. We show that the conditions for global attractivity of the positive semi-trivial periodic solution and permanence of the population of the model depend on time delay, so, we call it "profitless''. In this paper, the main feature is that we introduce multi-delays and impulses into the predator - prey model, exhibit a new modeling method which is applied to investigate multi-species impulsive multi-delays differential equations. (c) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254254300033 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6570]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Meng, Xin-zhu |
| 作者单位 | 1.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China 2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Shandong Univ Sci & Technol, Foreign Languages Coll, Qingdao 266510, Peoples R China |
| 推荐引用方式 GB/T 7714 | Meng, Xin-zhu,Chen, Lan-Sun,Li, Qing-xue. The dynamics of an impulsive delay predator-prey model with variable coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,198(1):361-374. |
| APA | Meng, Xin-zhu,Chen, Lan-Sun,&Li, Qing-xue.(2008).The dynamics of an impulsive delay predator-prey model with variable coefficients.APPLIED MATHEMATICS AND COMPUTATION,198(1),361-374. |
| MLA | Meng, Xin-zhu,et al."The dynamics of an impulsive delay predator-prey model with variable coefficients".APPLIED MATHEMATICS AND COMPUTATION 198.1(2008):361-374. |
入库方式： OAI收割
来源：数学与系统科学研究院
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