1. Global stability analysis and clinical implications of a modified HIV model with CTL response.
- Author
-
Danane, Jaouad and Allali, Karam
- Subjects
BASIC reproduction number ,CYTOTOXIC T cells ,GLOBAL analysis (Mathematics) ,VIRAL replication ,HIV ,VIRUS diseases - Abstract
A modified mathematical model of the Human Immunodefficiency Virus (HIV) pathogenesis with cytotoxic T lymphocytes (CTL) is introduced in this paper. This model includes a saturated rate function describing the viral infection. It is shown that the disease free steady state is globally asymptotically stable when the virus basic reproduction number is less than one. The existence of two other infection equilibria is established when the virus basic reproduction number is greater than one. The global stability of these endemic equilibria depends on the basic reproduction number and a CTL immune response reproduction indicator. Numerical simulations are performed to illustrate the behavior of solutions and the effectiveness of CTL cells. Moreover, a comparison of the model fitting with some clinical data sets and its implications are also presented. [ABSTRACT FROM AUTHOR]
- Published
- 2019