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Global Analysis of a Model of Viral Infection with Latent Stage and Two Types of Target Cells
Joint Authors
Li, Jianquan
Zhao, Qingbo
Ma, Lina
Liu, Shuo
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
By introducing the probability function describing latency of infected cells, we unify some models of viral infection with latent stage.
For the case that the probability function is a step function, which implies that the latency period of the infected cells is constant, the corresponding model is a delay differential system.
The model with delay of latency and two types of target cells is investigated, and the obtained results show that when the basic reproduction number is less than or equal to unity, the infection-free equilibrium is globally stable, that is, the in-host free virus will be cleared out finally; when the basic reproduction number is greater than unity, the infection equilibrium is globally stable, that is, the viral infection will be chronic and persist in-host.
And by comparing the basic reproduction numbers of ordinary differential system and the associated delayed differential system, we think that it is necessary to elect an appropriate type of probability function for predicting the final outcome of viral infection in-host.
American Psychological Association (APA)
Liu, Shuo& Ma, Lina& Li, Jianquan& Zhao, Qingbo. 2013. Global Analysis of a Model of Viral Infection with Latent Stage and Two Types of Target Cells. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-486740
Modern Language Association (MLA)
Liu, Shuo…[et al.]. Global Analysis of a Model of Viral Infection with Latent Stage and Two Types of Target Cells. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-486740
American Medical Association (AMA)
Liu, Shuo& Ma, Lina& Li, Jianquan& Zhao, Qingbo. Global Analysis of a Model of Viral Infection with Latent Stage and Two Types of Target Cells. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-486740
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486740