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State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate
Liu, Kaiyuan1; Zhang, Tongqian2,3; Chen, Lansun4
2019
Source PublicationCOMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
ISSN1748-670X
Pages10
AbstractIn 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.
DOI10.1155/2019/3859815
Language英语
Funding ProjectNational 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 Research AreaMathematical & Computational Biology
WOS SubjectMathematical & Computational Biology
WOS IDWOS:000459878400001
PublisherHINDAWI LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33378
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Tongqian
Affiliation1.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
Recommended Citation
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.
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