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Viral dynamics of an HIV model with latent infection incorporating antiretroviral therapy.
- Source :
- Advances in Difference Equations; 8/30/2016, Vol. 2016 Issue 1, p1-15, 15p
- Publication Year :
- 2016
-
Abstract
- In this paper, we construct an HIV infection model which includes latent infection, logistic growth for healthy CD4 T-cells, and antiretroviral therapy. We obtain the global asymptotic stability of the uninfected equilibrium by constructing a Lyapunov function, and we give a sufficient condition for the local asymptotic stability of the infected equilibrium. We also use the latin hypercube sampling technique to identify the key parameters in determining the stability of the infected equilibrium. By numerical simulations, we observe that the model without logistic growth would underestimate the number of infectious virions, while the model without latent infection would overestimate the number of infectious virions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2016
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 117761157
- Full Text :
- https://doi.org/10.1186/s13662-016-0952-x