Dynamical analysis within-host and between-host for HIV-AIDS with the application of optimal control strategy
Other Title(s)
تحليل ديناميكية داخل المضيف و بين المضيف لفيروس نقص المناعة البشرية-الإيدز مع تطبيق استراتيجية التحكم المثلى
Joint Authors
Naji, Raid Kamil
Muhsin, Ahmad Ali
Source
Issue
Vol. 61, Issue 5 (31 May. 2020), pp.1173-1189, 17 p.
Publisher
University of Baghdad College of Science
Publication Date
2020-05-31
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Abstract EN
The aims of this paper is investigating the spread of AIDS both within-host, through the contact between healthy cells with free virus inside the body, and between-host, through sexual contact among individuals and external sources of infectious.
The outbreak of AIDS is described by a mathematical model consisting of two stages.
The first stage describes the within-host spread of AIDS and is represented by the first three equations.
While the second stage describes the between-host spread of AIDS and represented by the last four equations.
The existence, uniqueness and boundedness of the solution of the model are discussed and all possible equilibrium points are determined.
The local asymptotic stability (LAS) of the model is studied, while suitable Lyapunov functions are used to investigate the global asymptotic stability (GAS) of the model.
Optimal control strategy is used to control the outbreak of AIDS.
Finally, a numerical simulation is carried out to confirm the analytical results and understand the effects of varying the parameters on the spread of disease.
American Psychological Association (APA)
Muhsin, Ahmad Ali& Naji, Raid Kamil. 2020. Dynamical analysis within-host and between-host for HIV-AIDS with the application of optimal control strategy. Iraqi Journal of Science،Vol. 61, no. 5, pp.1173-1189.
https://search.emarefa.net/detail/BIM-970226
Modern Language Association (MLA)
Muhsin, Ahmad Ali& Naji, Raid Kamil. Dynamical analysis within-host and between-host for HIV-AIDS with the application of optimal control strategy. Iraqi Journal of Science Vol. 61, no. 5 (2020), pp.1173-1189.
https://search.emarefa.net/detail/BIM-970226
American Medical Association (AMA)
Muhsin, Ahmad Ali& Naji, Raid Kamil. Dynamical analysis within-host and between-host for HIV-AIDS with the application of optimal control strategy. Iraqi Journal of Science. 2020. Vol. 61, no. 5, pp.1173-1189.
https://search.emarefa.net/detail/BIM-970226
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-970226