Global stability of virus dynamics model with capsids and two routes of infection

被引：0
作者：
Elaiw, A. M. [1 ]
Almalki, S. E. [1 ]
Hobiny, A. D. [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2022年 / 12卷 / 01期
关键词：
viral infection; global stability; Lyapunov function; capsids; immune system; numerical simulations; TO-CELL SPREAD; DIFFERENTIAL DRUG EFFICACY; DNA-CONTAINING CAPSIDS; HEPATITIS-B INFECTION; HTLV-I INFECTION; MATHEMATICAL-MODEL; POPULATION-DYNAMICS; THRESHOLD DYNAMICS; VIRAL DYNAMICS; HIV-1;
D O I：
10.1504/IJDSDE.2022.122525
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global dynamics of within-host viral infection model with virus DNA- containing capsids. The effect of antibody immune response has been considered. The uninfected cell become infected due to its contacts with a virus or an infected cell. The incidence rate is given by saturation. The well-posedness of the model is establised. We utilise Lyapunov method and apply LaSalle's invariance principle to prove the global stability of the equilibria. We support our theoretical results by numerical simulations.
引用
收藏
页码：57 / 74
页数：18
相关论文
共 58 条
[11]   Global dynamics of delay-distributed HIV infection models with differential drug efficacy in cocirculating target cells [J].
Elaiw, A. M. ;
Almuallem, N. A. .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (01) :4-31
[12]   Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal [J].
Elaiw, A. M. ;
AlShamrani, N. H. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 26 :161-190
[13]   Global properties of nonlinear humoral immunity viral infection models [J].
Elaiw, A. M. ;
AlShamrani, N. H. .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2015, 8 (05)
[14]   Global properties of delayed-HIV dynamics models with differential drug efficacy in cocirculating target cells [J].
Elaiw, A. M. ;
Almuallem, N. A. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 :1067-1089
[15]   Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delays [J].
Elaiw, A. M. ;
Abukwaik, R. M. ;
Alzahrani, E. O. .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2014, 7 (05)
[16]   Global properties of a class of HIV infection models with Beddington-DeAngelis functional response [J].
Elaiw, A. M. ;
Azoz, S. A. .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (04) :383-394
[17]   Global properties of a class of virus infection models with multitarget cells [J].
Elaiw, A. M. .
NONLINEAR DYNAMICS, 2012, 69 (1-2) :423-435
[18]   Global properties of a class of HIV models [J].
Elaiw, A. M. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2253-2263
[19]  
Elaiw A.M., Mathematics, V7
[20]   Stability of a general adaptive immunity virus dynamics model with multistages of infected cells and two routes of infection [J].
Elaiw, Ahmed M. ;
AlShamrani, Noura H. .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (03) :1145-1175
123456