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Modeling the Adaptive Immunity and Both Modes of Transmission in HIV Infection

Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco
Author to whom correspondence should be addressed.
Computation 2018, 6(2), 37;
Received: 15 February 2018 / Revised: 20 April 2018 / Accepted: 4 May 2018 / Published: 8 May 2018
(This article belongs to the Section Computational Biology)
PDF [916 KB, uploaded 8 May 2018]


Human immunodeficiency virus (HIV) is a retrovirus that causes HIV infection and over time acquired immunodeficiency syndrome (AIDS). It can be spread and transmitted through two fundamental modes, one by virus-to-cell infection, and the other by direct cell-to-cell transmission. In this paper, we propose a new mathematical model that incorporates both modes of transmission and takes into account the role of the adaptive immune response in HIV infection. We first show that the proposed model is mathematically and biologically well posed. Moreover, we prove that the dynamical behavior of the model is fully determined by five threshold parameters. Furthermore, numerical simulations are presented to confirm our theoretical results. View Full-Text
Keywords: HIV infection; immunity; Lyapunov functional; global stability HIV infection; immunity; Lyapunov functional; global stability

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Hattaf, K.; Yousfi, N. Modeling the Adaptive Immunity and Both Modes of Transmission in HIV Infection. Computation 2018, 6, 37.

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