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Appl. Sci. 2017, 7(8), 861; doi:10.3390/app7080861

Global Analysis for an HIV Infection Model with CTL Immune Response and Infected Cells in Eclipse Phase

1
Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies, University Hassan II of Casablanca, P.O. Box 146, Mohammedia 20650, Morocco
2
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USA
*
Author to whom correspondence should be addressed.
Received: 27 July 2017 / Revised: 12 August 2017 / Accepted: 17 August 2017 / Published: 21 August 2017
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Abstract

A modified mathematical model describing the human immunodeficiency virus (HIV) pathogenesis with cytotoxic T-lymphocytes (CTL) and infected cells in eclipse phase is presented and studied in this paper. The model under consideration also includes a saturated rate describing viral infection. First, the positivity and boundedness of solutions for nonnegative initial data are proved. Next, the global stability of the disease free steady state and the endemic steady states are established depending on the basic reproduction number R 0 and the CTL immune response reproduction number R C T L . Moreover, numerical simulations are performed in order to show the numerical stability for each steady state and to support our theoretical findings. Our model based findings suggest that system immunity represented by CTL may control viral replication and reduce the infection. View Full-Text
Keywords: CTL immune response; global stability; HIV infection model; viral dynamics CTL immune response; global stability; HIV infection model; viral dynamics
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Allali, K.; Danane, J.; Kuang, Y. Global Analysis for an HIV Infection Model with CTL Immune Response and Infected Cells in Eclipse Phase. Appl. Sci. 2017, 7, 861.

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