State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate

doi:10.1155/2019/3859815

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	State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate
	Liu, Kaiyuan 1; Zhang, Tongqian 2,3; Chen, Lansun 4
	2019
发表期刊	COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
ISSN	1748-670X
页码	10
摘要	In this paper, the state-dependent pulse vaccination and therapeutic strategy are considered in the control of the disease. A pulse system is built to model this process based on an SI ordinary differential equation model. At first, for the system neglecting the impulse effect, we give the classification of singular points. Then for the pulse system, by using the theory of the semicontinuous dynamic system, the dynamics is analyzed. Our analysis shows that the pulse system exhibits rich dynamics and the system has a unique order-1 homoclinic cycle, and by choosing p as the control parameter, the order-1 homoclinic cycle disappears and bifurcates an orbitally asymptotical stable order-1 periodic solution when p changes. Numerical simulations by maple 18 are carried out to illustrate the theoretical results.
DOI	10.1155/2019/3859815
语种	英语
资助项目	National Natural Science Foundation of China[11671346] ; National Natural Science Foundation of China[61751317] ; SDUST Research Fund[2014TDJH102] ; Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents
WOS研究方向	Mathematical & Computational Biology
WOS类目	Mathematical & Computational Biology
WOS记录号	WOS:000459878400001
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/33378
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Tongqian
作者单位	1.Anshan Normal Univ, Coll Math & Informat Sci, Anshan 114016, Peoples R China 2.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China 3.Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control, Shandong Prov & Minist Sci & Technol, Qingdao 266590, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Kaiyuan,Zhang, Tongqian,Chen, Lansun. State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate[J]. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE,2019:10.
APA	Liu, Kaiyuan,Zhang, Tongqian,&Chen, Lansun.(2019).State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate.COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE,10.
MLA	Liu, Kaiyuan,et al."State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate".COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2019):10.