Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control

doi:10.1142/S1793524517500930

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	Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control
	Guo, Hongjian 1; Chen, Lansun 2; Song, Xinyu 1
	2017-10-01
发表期刊	INTERNATIONAL JOURNAL OF BIOMATHEMATICS
ISSN	1793-5245
卷号	10 期号:7 页码:21
摘要	Considering the fact t hat the product ion and provision of some vaccines are ordered and governed by the government according to the history data of disease, a kind of SIR model with constant vaccination rate and impulsive state feedback control is presented. The dynamical properties of semi-continuous three-dimensional SIR system can be obtained by discussing the properties of the corresponding two-dimensional system in the limit set. The existence and uniqueness of order-1 periodic solution are discussed by using the successive function and the compression mapping theorem . A new theorem for the orbital stability of order-1 periodic solution is proved by geometric method. Finally, numerical simulations are given to verify the mathematical results and some conclusions are given. The results show that the disease can be controlled to a lower level by means of impulsive state feedback control strategy, but cannot be eradicated.
关键词	SIR model impulsive feedback control vaccination limit set periodic solution
DOI	10.1142/S1793524517500930
语种	英语
资助项目	Nanhu Scholars Program for Young Scholars of XYNU ; Program for Science and Technology Innovation Talents in Universities of Henan Province[14HASTIT046] ; National Natural Science Foundation of China[11371306] ; National Natural Science Foundation of China[11671346]
WOS研究方向	Mathematical & Computational Biology
WOS类目	Mathematical & Computational Biology
WOS记录号	WOS:000414208700003
出版者	WORLD SCIENTIFIC PUBL CO PTE 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/26935
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Hongjian; Song, Xinyu
作者单位	1.Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, Hongjian,Chen, Lansun,Song, Xinyu. Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS,2017,10(7):21.
APA	Guo, Hongjian,Chen, Lansun,&Song, Xinyu.(2017).Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control.INTERNATIONAL JOURNAL OF BIOMATHEMATICS,10(7),21.
MLA	Guo, Hongjian,et al."Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control".INTERNATIONAL JOURNAL OF BIOMATHEMATICS 10.7(2017):21.