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

2021 ◽  
Vol 11 (1) ◽  
pp. 31
Author(s):  
Brahim El Boukari ◽  
Khalid Hattaf ◽  
Jalila El Ghordaf
Keyword(s):  
Viral Infection ◽  
Distributed Delays ◽  
Infection Model ◽  
Modes Of Transmission ◽  
Viral Infection Model

scholarly journals Spatiotemporal Dynamics of a Generalized Viral Infection Model with Distributed Delays and CTL Immune Response

Computation ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 21 ◽  
Author(s):  
Khalid Hattaf
Keyword(s):  
Immune Response ◽  
Viral Infection ◽  
Cytotoxic T Lymphocyte ◽  
Distributed Delays ◽  
Infection Model ◽  
Cell Infection ◽  
Incidence Functions ◽  
Dynamics Models ◽  
Ctl Immune Response ◽  
Viral Infection Model

In this paper, we propose and investigate a diffusive viral infection model with distributed delays and cytotoxic T lymphocyte (CTL) immune response. Also, both routes of infection that are virus-to-cell infection and cell-to-cell transmission are modeled by two general nonlinear incidence functions. The well-posedness of the proposed model is also proved by establishing the global existence, uniqueness, nonnegativity and boundedness of solutions. Moreover, the threshold parameters and the global asymptotic stability of equilibria are obtained. Furthermore, diffusive and delayed virus dynamics models presented in many previous studies are improved and generalized.

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