CSpace
Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control
Tao, Fengmei1; Zhao, Zhong2; Chen, Lansun3
2018
Source PublicationDISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN1026-0226
Pages10
AbstractIn 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.
DOI10.1155/2018/6401059
Language英语
Funding ProjectNational 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 Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000449208600001
PublisherHINDAWI LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31680
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Tao, Fengmei]'s Articles
[Zhao, Zhong]'s Articles
[Chen, Lansun]'s Articles
Baidu academic
Similar articles in Baidu academic
[Tao, Fengmei]'s Articles
[Zhao, Zhong]'s Articles
[Chen, Lansun]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Tao, Fengmei]'s Articles
[Zhao, Zhong]'s Articles
[Chen, Lansun]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.