Stability of discrete-time HIV dynamics models with long-lived chronically infected cells
Volume 12, Issue 7, pp 420--439
http://dx.doi.org/10.22436/jnsa.012.07.02
Publication Date: March 09, 2019
Submission Date: November 16, 2018
Revision Date: December 19, 2018
Accteptance Date: January 14, 2019
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Authors
A. M. Elaiw
- Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
M. A. Alshaikh
- Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia.
Abstract
This paper studies the global dynamics for discrete-time HIV infection models.
The models integrate both long-lived chronically infected and short-lived
infected cells. The HIV-susceptible incidence rate is taken as bilinear,
saturation and general function. We discretize the continuous-time models by
using nonstandard finite difference scheme. The positivity and boundedness of
solutions are established. The basic reproduction number is derived. By using
Lyapunov method, we prove the global stability of the models. Numerical
simulations are presented to illustrate our theoretical results.
Share and Cite
ISRP Style
A. M. Elaiw, M. A. Alshaikh, Stability of discrete-time HIV dynamics models with long-lived chronically infected cells, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 7, 420--439
AMA Style
Elaiw A. M., Alshaikh M. A., Stability of discrete-time HIV dynamics models with long-lived chronically infected cells. J. Nonlinear Sci. Appl. (2019); 12(7):420--439
Chicago/Turabian Style
Elaiw, A. M., Alshaikh, M. A.. "Stability of discrete-time HIV dynamics models with long-lived chronically infected cells." Journal of Nonlinear Sciences and Applications, 12, no. 7 (2019): 420--439
Keywords
- HIV infection
- short-lived infected cells
- long-lived infected cells
- global stability
- Lyapunov function
MSC
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