"A General Fractional-Order Viral Infection Model with Cell-to-Cell Tra" by Adnane Boukhouima, El Mehdi Lotfi et al.

Progress in Fractional Differentiation & Applications

Article Title

A General Fractional-Order Viral Infection Model with Cell-to-Cell Transmission and Adaptive Immunity

Authors

Adnane Boukhouima, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoFollow
El Mehdi Lotfi, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoFollow
Marouane Mahrouf, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoFollow
Noura Yousfi, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoFollow
Toshikazu Kuniya, /var/folders/wb/vsrj5h6d5qd81ws0y6yxcfm40000gn/T/com.apple.Preview/com.apple.Preview.PasteboardItems/090103 (dragged).pdfFollow

Author Country (or Countries)

Morocco

Abstract

We propose a general fractional-order viral infection model with adaptive immune response including both productively infected cells and latently infected cells. This model incorporates two ways of infection, one by virus-to-cell and other by cell-to-cell transmissions, which are modeled by general nonlinear incidence functions. We first show that the proposed model is mathematically and biologically well-posed. Stability analysis of different steady states is explicitly performed and five threshold parameters are identified which determine clearance or maintenance of infection. In addition, we examine the robustness of the model to certain parameters by examining the reproduction numbers. Finally, we present numerical simulations that confirm which our model predicts well the evolution of viral infection.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090103

Recommended Citation

Boukhouima, Adnane; Mehdi Lotfi, El; Mahrouf, Marouane; Yousfi, Noura; and Kuniya, Toshikazu (2023) "A General Fractional-Order Viral Infection Model with Cell-to-Cell Transmission and Adaptive Immunity," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 1, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/090103
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss1/3

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