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Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment.
- Source :
- Advances in Difference Equations; 11/9/2018, Vol. 2018 Issue 1, p1-1, 1p
- Publication Year :
- 2018
-
Abstract
- The purpose of this paper is to investigate the qualitative behavior of HIV dynamics models with immune impairment. The HIV particles infect both CD4<superscript>+</superscript> T cells and macrophages. Both latently and actively infected cells are incorporated into the models. The models consider multiple discrete or distributed delays to characterize the time between an HIV contact of an uninfected target cell and the creation of mature HIV. The existence and global stability of the steady states are determined by the basic reproduction number. The global stability analysis of the steady states is performed using Lyapunov method. We solve the system of delay differential equations numerically to support the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- T cells
HIV
DELAY differential equations
LYAPUNOV functions
MACROPHAGES
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2018
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 132924571
- Full Text :
- https://doi.org/10.1186/s13662-018-1869-3