Research Communication | Open Access
Volume 2019 | Communication ID 52
Volume 2019 | Communication ID 52
| Global stability analysis and clinical implications of a modified HIV model with CTL response |
Jaouad Danane, Karam Allali
Received |
Accepted |
Published |
Jan 12, 2019 |
Jan 31, 2019 |
Mar 01, 2019 |
Abstract: A modified mathematical model of the Human Immunodeficiency 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 locally 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 ...