Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control

doi:10.1155/2018/6401059

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	Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control
	Tao, Fengmei 1; Zhao, Zhong 2; Chen, Lansun 3
	2018
发表期刊	DISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN	1026-0226
页码	10
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.
DOI	10.1155/2018/6401059
语种	英语
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
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000449208600001
出版者	HINDAWI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31680
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.