Dynamics Analysis and Simulation of a Modified HIV Infection Model with a Saturated Infection Rate
Joint Authors
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper studies a modified human immunodeficiency virus (HIV) infection differential equation model with a saturated infection rate.
It is proved that if the basic virus reproductive number R0 of the model is less than one, then the infection-free equilibrium point of the model is globally asymptotically stable; if R0 of the model is more than one, then the endemic infection equilibrium point of the model is globally asymptotically stable.
Based on the clinical data from HIV drug resistance database of Stanford University, using the proposed model simulates the dynamics of the two groups of patients’ anti-HIV infection treatment.
The numerical simulation results are in agreement with the evolutions of the patients’ HIV RNA levels.
It can be assumed that if an HIV infected individual’s basic virus reproductive number R0<1 then this person will recover automatically; if an antiretroviral therapy makes an HIV infected individual’s R0<1, this person will be cured eventually; if an antiretroviral therapy fails to suppress an HIV infected individual’s HIV RNA load to be of unpredictable level, the time that the patient’s HIV RNA level has achieved the minimum value may be the starting time that drug resistance has appeared.
American Psychological Association (APA)
Sun, Qilin& Min, Lequan. 2014. Dynamics Analysis and Simulation of a Modified HIV Infection Model with a Saturated Infection Rate. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-449282
Modern Language Association (MLA)
Sun, Qilin& Min, Lequan. Dynamics Analysis and Simulation of a Modified HIV Infection Model with a Saturated Infection Rate. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-449282
American Medical Association (AMA)
Sun, Qilin& Min, Lequan. Dynamics Analysis and Simulation of a Modified HIV Infection Model with a Saturated Infection Rate. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-449282
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449282