Viral dynamics model with CTL immune response incorporating antiretroviral therapy.

TitleViral dynamics model with CTL immune response incorporating antiretroviral therapy.
Publication TypeJournal Article
Year of Publication2013
AuthorsWang Y, Zhou Y, Brauer F, Heffernan JM
JournalJournal of mathematical biology
Volume67
Issue4
Pagination901-34
Date Published2013 Oct
ISSN1432-1416
Abstract

We present two HIV models that include the CTL immune response, antiretroviral therapy and a full logistic growth term for uninfected CD4+ T-cells. The difference between the two models lies in the inclusion or omission of a loss term in the free virus equation. We obtain critical conditions for the existence of one, two or three steady states, and analyze the stability of these steady states. Through numerical simulation we find substantial differences in the reproduction numbers and the behaviour at the infected steady state between the two models, for certain parameter sets. We explore the effect of varying the combination drug efficacy on model behaviour, and the possibility of reconstituting the CTL immune response through antiretroviral therapy. Furthermore, we employ Latin hypercube sampling to investigate the existence of multiple infected equilibria.

DOI10.1007/s00285-012-0580-3
Alternate JournalJ Math Biol