Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment
文献类型：期刊论文
| 作者 | Meng Xin-zhu1,2; Zhao Qiu-lan1; Chen Lan-sun2,3 |
| 刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
 |
| 出版日期 | 2008 |
| 卷号 | 29期号:1页码:75-87 |
| 关键词 | permanence impulsive input chemostat model time delay for growth response extinction |
| ISSN号 | 0253-4827 |
| DOI | 10.1007/s10483-008-0110-x |
| 英文摘要 | In this paper, we consider a new Monod type chemostat model with time delay and impulsive input concentration of the nutrient in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, we obtain a "microorganism-extinction" periodic solution. Further, we establish the sufficient conditions for the global attractivity of the inicroorganism-extinction periodic solution. Using new computational techniques for impulsive and delayed differential equation, we prove that the system is permanent under appropriate conditions. Our results show that time delay is "profitless". |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252664400010 |
| 出版者 | SHANGHAI UNIV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6472]  |
| 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, Shandong Prov 116024, Peoples R China 2.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning Prov, Peoples R China 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Meng Xin-zhu,Zhao Qiu-lan,Chen Lan-sun. Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2008,29(1):75-87. |
| APA | Meng Xin-zhu,Zhao Qiu-lan,&Chen Lan-sun.(2008).Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,29(1),75-87. |
| MLA | Meng Xin-zhu,et al."Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 29.1(2008):75-87. |
入库方式： OAI收割
来源：数学与系统科学研究院
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