Global Dynamics of a Virus Dynamical Model with Cell-to-Cell Transmission and Cure Rate
Joint Authors
Zhang, Tonghua
Meng, Xinzhu
Zhang, Tongqian
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The cure effect of a virus model with both cell-to-cell transmission and cell-to-virus transmission is studied.
By the method of next generation matrix, the basic reproduction number is obtained.
The locally asymptotic stability of the virus-free equilibrium and the endemic equilibrium is considered by investigating the characteristic equation of the model.
The globally asymptotic stability of the virus-free equilibrium is proved by constructing suitable Lyapunov function, and the sufficient condition for the globally asymptotic stability of the endemic equilibrium is obtained by constructing suitable Lyapunov function and using LaSalle invariance principal.
American Psychological Association (APA)
Zhang, Tongqian& Meng, Xinzhu& Zhang, Tonghua. 2015. Global Dynamics of a Virus Dynamical Model with Cell-to-Cell Transmission and Cure Rate. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1057992
Modern Language Association (MLA)
Zhang, Tongqian…[et al.]. Global Dynamics of a Virus Dynamical Model with Cell-to-Cell Transmission and Cure Rate. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1057992
American Medical Association (AMA)
Zhang, Tongqian& Meng, Xinzhu& Zhang, Tonghua. Global Dynamics of a Virus Dynamical Model with Cell-to-Cell Transmission and Cure Rate. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1057992
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057992