Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control
文献类型：期刊论文
| 作者 | Tao, Fengmei1; Zhao, Zhong2; Chen, Lansun3 |
| 刊名 | DISCRETE DYNAMICS IN NATURE AND SOCIETY
 |
| 出版日期 | 2018 |
| 页码 | 10 |
| ISSN号 | 1026-0226 |
| DOI | 10.1155/2018/6401059 |
| 英文摘要 | In this paper, we propose a chemostat model of competition between plasmid-bearing and plasmid-free organism with the impulsive state feedback control. The sufficient condition for existence of the positive period-1 solution is obtained by means of successor function and the qualitative properties of the corresponding continuous system. We show that the impulsive control system is more effective than the corresponding continuous system if we choose a suitable threshold value of the state feedback control in the process of manufacturing the desired products through genetically modified techniques. Furthermore, a new method of proving the stability of the order-1 periodic solution is given based on the theory of the limit cycle of the continuous dynamical system. Finally, mathematical results are justified by some numerical simulations. |
| 资助项目 | National Natural Science Foundation of China[11371164] ; NSFC-Talent Training Fund of Henan[U1304104] ; Innovative Talents of Science and Technology Plan in Henan province[15HASTIT014] ; Science and Technology Planning project of Henan[182102410021] ; Ministry of Education CSC |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000449208600001 |
| 出版者 | HINDAWI LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31679]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Zhong |
| 作者单位 | 1.Anshan Normal Univ, Sch Math & Informat Sci, Anshan 114007, Liaoning, Peoples R China 2.Huanghuai Univ, Dept Math, Zhumadian 463000, Henan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tao, Fengmei,Zhao, Zhong,Chen, Lansun. Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2018:10. |
| APA | Tao, Fengmei,Zhao, Zhong,&Chen, Lansun.(2018).Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control.DISCRETE DYNAMICS IN NATURE AND SOCIETY,10. |
| MLA | Tao, Fengmei,et al."Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2018):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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