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

doi:10.1155/2019/3859815

	State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate
	Liu, Kaiyuan 4; Zhang, Tongqian 2,3; Chen, Lansun 1
刊名	COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
	2019
页码	10
ISSN号	1748-670X
DOI	10.1155/2019/3859815
英文摘要	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.
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
语种	英语
出版者	HINDAWI LTD
WOS记录号	WOS:000459878400001
内容类型	期刊论文
源URL	[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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control, Shandong Prov & Minist Sci & Technol, Qingdao 266590, Peoples R China 3.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China 4.Anshan Normal Univ, Coll Math & Informat Sci, Anshan 114016, 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.