International Journal of Differential Equations

Qualitative Analysis of a Generalized Virus Dynamics Model with Both Modes of Transmission and Distributed Delays

Khalid Hattaf and Noura Yousfi

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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.

Article information

Source
Int. J. Differ. Equ., Volume 2018, Special Issue (2017), Article ID 9818372, 7 pages.

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

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1521252048

Digital Object Identifier
doi:10.1155/2018/9818372

Zentralblatt MATH identifier
06915966

Citation

Hattaf, Khalid; Yousfi, Noura. Qualitative Analysis of a Generalized Virus Dynamics Model with Both Modes of Transmission and Distributed Delays. Int. J. Differ. Equ. 2018, Special Issue (2017), Article ID 9818372, 7 pages. doi:10.1155/2018/9818372. https://projecteuclid.org/euclid.ijde/1521252048


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