Modeling the dynamics of viral infections in presence of latently infected cells

被引：31

作者：

Hattaf, Khalid ^{[1
,2
]}

Dutta, Hemen ^{[3
]}

机构：

[1] Ctr Reg Metiers Educ & Format CRMEF, Casablanca 20340, Morocco

[2] Hassan II Univ Casablanca, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco

[3] Gauhati Univ, Dept Math, Gauhati 781014, India

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 136卷

关键词：

IMMUNODEFICIENCY-VIRUS-INFECTION; GLOBAL DYNAMICS; HIV-1; INFECTION; STABILITY; STATE;

D O I：

10.1016/j.chaos.2020.109916

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The study aims to develop a new mathematical model in order to explain the dynamics of viral infections in vivo such as HIV infection. The model includes three classes of cells, takes into account the cure of infected cells in latent period and also incorporates three modes of transmission. The mention modes are modeled by three general incidence functions covering several special cases available in the literature. The basic properties of the model as well as its stability analysis have been carried out rigorously. Further, an application is given and also numerical simulation results have been incorporated supporting the analytical results. © 2020 Elsevier Ltd

引用

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