Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays
type: Item
instance of: scholarly article
title: Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays
zbMATH Open document ID: 1487.92042
DOI: 10.1155/2018/9818372
author: Khalid Hattaf
author: Noura Yousfi
published in: International Journal of Differential Equations
publication date: 2018-08-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 6915966
zbMATH Keywords: generalized virus dynamics model
zbMATH Keywords: distributed delays
zbMATH Keywords: modes of transmission
zbMATH Keywords: virus-to-cell infection
zbMATH Keywords: cell-to-cell transfer
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9818372
OpenAlex ID: W2788286982
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description: scientific article; zbMATH DE number 6915966