中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
DOI10.1155/2018/6401059
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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