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Mathematical Analysis of HIV Models with Switching Nonlinear Incidence Functions and Pulse Control
Joint Authors
Wang, Xiying
Xu, Wei
Wang, Xiaomei
Cui, Yujun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper aims to study the dynamics of new HIV (the human immunodeficiency virus) models with switching nonlinear incidence functions and pulse control.
Nonlinear incidence functions are first assumed to be time-varying functions and switching functional forms in time, which have more realistic significance to model infectious disease models.
New threshold conditions with the periodic switching term are obtained to guarantee eradication of the disease, by using the novel type of common Lyapunov function.
Furthermore, pulse vaccination is applied to the above model, and new sufficient conditions for the eradication of the disease are presented in terms of the pulse effect and the switching effect.
Finally, several numerical examples are given to show the effectiveness of the proposed results, and future directions are put forward.
American Psychological Association (APA)
Wang, Xiying& Xu, Wei& Cui, Yujun& Wang, Xiaomei. 2014. Mathematical Analysis of HIV Models with Switching Nonlinear Incidence Functions and Pulse Control. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1034054
Modern Language Association (MLA)
Wang, Xiying…[et al.]. Mathematical Analysis of HIV Models with Switching Nonlinear Incidence Functions and Pulse Control. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1034054
American Medical Association (AMA)
Wang, Xiying& Xu, Wei& Cui, Yujun& Wang, Xiaomei. Mathematical Analysis of HIV Models with Switching Nonlinear Incidence Functions and Pulse Control. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1034054
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034054