A discrete viral infection model with both modes of transmission and distributed delays

Autor:	Jalila El Ghordaf, Khalid Hattaf, Brahim El Boukari
Rok vydání:	2021
Předmět:	Control and Optimization Transmission (telecommunications) Continuous modelling Differential equation Transfer (computing) Process (computing) General Engineering Discrete Mathematics and Combinatorics Time step Topology Viral infection Mathematics Incidence (geometry)
Zdroj:	International Journal of Dynamical Systems and Differential Equations. 11:31
ISSN:	1752-3591 1752-3583
DOI:	10.1504/ijdsde.2021.113903
Popis:	The aim of this work is to propose and analyse a discrete 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 first distributed delays describes the time needed for infected cells to produce new virions, and the second portrays the time necessary for the newly produced virions to become mature and infectious. In addition, the infection transmission process is modelled by general incidence functions for both modes. Furthermore, we prove that the proposed discrete model has the same dynamics as the corresponding continuous model, such as positivity, boundedness and global behaviours of solutions with no restriction on the time step size. Moreover, numerical simulations are given to illustrate and confirm our main analytical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1117e37a714a39a738a47722be7fcab8 https://doi.org/10.1504/ijdsde.2021.113903 Zobrazit plný text záznamu