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Modelling In Vivo HIV Dynamics under Combined Antiretroviral Treatment
Joint Authors
Mobisa, B.
Lawi, G. O.
Nthiiri, J. K.
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper a within host mathematical model for Human Immunodeficiency Virus (HIV) transmission incorporating treatment is formulated.
The model takes into account the efficacy of combined antiretroviral treatment on viral growth and T cell population in the human blood.
The existence of an infection free and positive endemic equilibrium is established.
The basic reproduction number R0 is derived using the method of next generation matrix.
We perform local and global stability analysis of the equilibria points and show that if R0<1, then the infection free equilibrium is globally asymptotically stable and theoretically the virus is cleared and the disease dies out and if R0>1, then the endemic equilibrium is globally asymptotically stable implying that the virus persists within the host.
Numerical simulations are carried out to investigate the effect of treatment on the within host infection dynamics.
American Psychological Association (APA)
Mobisa, B.& Lawi, G. O.& Nthiiri, J. K.. 2018. Modelling In Vivo HIV Dynamics under Combined Antiretroviral Treatment. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1176074
Modern Language Association (MLA)
Mobisa, B.…[et al.]. Modelling In Vivo HIV Dynamics under Combined Antiretroviral Treatment. Journal of Applied Mathematics No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1176074
American Medical Association (AMA)
Mobisa, B.& Lawi, G. O.& Nthiiri, J. K.. Modelling In Vivo HIV Dynamics under Combined Antiretroviral Treatment. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1176074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176074