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2018 Qualitative Analysis of a Generalized Virus Dynamics Model with Both Modes of Transmission and Distributed Delays
Khalid Hattaf, Noura Yousfi
Int. J. Differ. Equ. 2018(SI1): 1-7 (2018). DOI: 10.1155/2018/9818372

Abstract

We propose a generalized virus dynamics model with distributed delays and both modes of transmission, one by virus-to-cell infection and the other by cell-to-cell transfer. In the proposed model, the distributed delays describe (i) the time needed for infected cells to produce new virions and (ii) the time necessary for the newly produced virions to become mature and infectious. In addition, the infection transmission process is modeled by general incidence functions for both modes. Furthermore, the qualitative analysis of the model is rigorously established and many known viral infection models with discrete and distributed delays are extended and improved.

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Khalid Hattaf. Noura Yousfi. "Qualitative Analysis of a Generalized Virus Dynamics Model with Both Modes of Transmission and Distributed Delays." Int. J. Differ. Equ. 2018 (SI1) 1 - 7, 2018. https://doi.org/10.1155/2018/9818372

Information

Received: 11 August 2017; Revised: 14 December 2017; Accepted: 18 December 2017; Published: 2018
First available in Project Euclid: 17 March 2018

zbMATH: 06915966
MathSciNet: MR3762166
Digital Object Identifier: 10.1155/2018/9818372

Rights: Copyright © 2018 Hindawi

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Vol.2018 • No. SI1 • 2018
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