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The Effects of Time Lag and Cure Rate on the Global Dynamics of HIV-1 Model
Joint Authors
Ali, Nigar
Abdullah, Gul
Alqahtani, Aisha M.
Alshomrani, Ali Saleh
Zaman, Gul
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this research article, a new mathematical model of delayed differential equations is developed which discusses the interaction among CD4 T cells, human immunodeficiency virus (HIV), and recombinant virus with cure rate.
The model has two distributed intracellular delays.
These delays denote the time needed for the infection of a cell.
The dynamics of the model are completely described by the basic reproduction numbers represented by R0, R1, and R2.
It is shown that if R0<1, then the infection-free equilibrium is locally as well as globally stable.
Similarly, it is proved that the recombinant absent equilibrium is locally as well as globally asymptotically stable if 1 Finally, numerical simulations are presented to illustrate our theoretical results. Our obtained results show that intracellular delay and cure rate have a positive role in the reduction of infected cells and the increasing of uninfected cells due to which the infection is reduced.
American Psychological Association (APA)
Ali, Nigar& Zaman, Gul& Abdullah, Gul& Alqahtani, Aisha M.& Alshomrani, Ali Saleh. 2017. The Effects of Time Lag and Cure Rate on the Global Dynamics of HIV-1 Model. BioMed Research International،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1138905
Modern Language Association (MLA)
Ali, Nigar…[et al.]. The Effects of Time Lag and Cure Rate on the Global Dynamics of HIV-1 Model. BioMed Research International No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1138905
American Medical Association (AMA)
Ali, Nigar& Zaman, Gul& Abdullah, Gul& Alqahtani, Aisha M.& Alshomrani, Ali Saleh. The Effects of Time Lag and Cure Rate on the Global Dynamics of HIV-1 Model. BioMed Research International. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1138905
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1138905