Mathematical analysis of a virus dynamics model with general incidence rate and cure rate

被引：106

作者：

Hattaf, Khalid ^{[1
]}

Yousfi, Noura ^{[1
]}

Tridane, Abdessamad ^{[2
]}

机构：

[1] Hassan II Univ, Dept Math & Comp Sci, Fac Sci Ben Msik, Casablanca, Morocco

[2] Arizona State Univ Polytech Campus, Dept Appl Sci & Math, Mesa, AZ 85212 USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 04期

关键词：

Virus dynamics; General incidence rate; Cure rate; Global stability; Barbalat's lemma; HEPATITIS-B-VIRUS; DIFFERENTIAL-EQUATION MODEL; GLOBAL STABILITY; INFECTION MODEL; VIRAL DYNAMICS; CLEARANCE; CELLS;

D O I：

10.1016/j.nonrwa.2011.12.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The rate of infection in many virus dynamics models is assumed to be bilinear in the virus and uninfected target cells. In this paper, the dynamical behavior of a virus dynamics model with general incidence rate and cure rate is studied. Global dynamics of the model is established. We prove that the virus is cleared and the disease dies out if the basic reproduction number R-0 <= 1 while the virus persists in the host and the infection becomes endemic if R-0 > 1. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1866 / 1872

页数：7

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