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A Stochastic HIV Infection Model with Latent Infection and Antiretroviral Therapy
Joint Authors
Wang, Yan
Liu, Jun
Zhao, Tingting
Liu, Luju
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Recent studies have demonstrated that the latent infection is a major obstacle to the viral elimination in HIV infection process.
In this paper, we formulate a stochastic HIV infection model to include both latent infection and combination drug therapies.
We derive that the model solution is unique and positive, and the solution is global.
By constructing appropriate stochastic Lyapunov functions, the existence of an ergodic stationary distribution is obtained when the critical condition is greater than one.
Furthermore, through rigorous analysis and deduction, the extinction of the virus is established under certain conditions.
Numerical simulations are performed to show that small intensity of white noises can maintain the existence of a stationary distribution, while large intensity of white noises is beneficial to the extinction of the virus.
American Psychological Association (APA)
Liu, Jun& Wang, Yan& Liu, Luju& Zhao, Tingting. 2018. A Stochastic HIV Infection Model with Latent Infection and Antiretroviral Therapy. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1152668
Modern Language Association (MLA)
Liu, Jun…[et al.]. A Stochastic HIV Infection Model with Latent Infection and Antiretroviral Therapy. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1152668
American Medical Association (AMA)
Liu, Jun& Wang, Yan& Liu, Luju& Zhao, Tingting. A Stochastic HIV Infection Model with Latent Infection and Antiretroviral Therapy. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1152668
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152668