The effects of impulsive toxicant input on a population in a polluted environment
文献类型：期刊论文
| 作者 | Liu, B; Chen, LS; Zhang, YJ |
| 刊名 | JOURNAL OF BIOLOGICAL SYSTEMS
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 11期号:3页码:265-274 |
| 关键词 | impulsive effect permanence extinction globally asymptotic stability environmental noise |
| ISSN号 | 0218-3390 |
| 英文摘要 | In this paper, we investigate a single species model in a polluted closed environment with pulse toxicant input at fixed moment. We show that the population is extinct when the impulsive period is less than some critical value, otherwise the population is permanent, and the permanent condition also assure that there exists a unique positive periodic solution which is globally asymptotically stable. By comparing with the continuous system, we show that pulse toxicant input cause a periodic behavior in our system and oscillation of the solution. From the biological point of view, it is easy to protect species by changing impulsive period of the exogenous input of toxicant, and toxicant input amount, etc. Further, the effects of environmental noise on the population are studied by using numerical methods. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000185975500004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18304]  |
| 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.Anshan Normal Univ, Inst Biomath, Anshan 114005, Liaoning, Peoples R China 2.Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, B,Chen, LS,Zhang, YJ. The effects of impulsive toxicant input on a population in a polluted environment[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2003,11(3):265-274. |
| APA | Liu, B,Chen, LS,&Zhang, YJ.(2003).The effects of impulsive toxicant input on a population in a polluted environment.JOURNAL OF BIOLOGICAL SYSTEMS,11(3),265-274. |
| MLA | Liu, B,et al."The effects of impulsive toxicant input on a population in a polluted environment".JOURNAL OF BIOLOGICAL SYSTEMS 11.3(2003):265-274. |
入库方式： OAI收割
来源：数学与系统科学研究院
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