Global stability analysis of HIV-1 infection model with three time delays

被引：22

作者：

Pitchaimani M. ^{[1
]}

Monica C. ^{[1
]}

机构：

[1] Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai

来源：

Journal of Applied Mathematics and Computing | 2015年 / 48卷 / 1-2期

关键词：

Bifurcation; Delays; Direct Lyapunov method; Global stability; HIV-1; dynamics; Stability analysis;

D O I：

10.1007/s12190-014-0803-4

中图分类号：

学科分类号：

摘要：

Mathematical model for the effect of reverse transcriptase inhibitor on the dynamics of HIV-1 infection model with three delays is proposed and analyzed. We begin this model with proving the positivity and boundedness of the solution. We analyze the stability of the viral free steady state and the infected steady state of the system. Also we have carried out bifurcation analysis along with an estimated length of delay to preserve the stability behaviour. By developing a few Lyapunov functionals, we obtain conditions ensuring global stability of steady states. Numerical simulations are carried out to explain the mathematical conclusions. © 2014, Korean Society for Computational and Applied Mathematics.

引用

页码：293 / 319

页数：26

共 50 条

[31] Analysis and computation of multi-pathways and multi-delays HIV-1 infection model
Adak, Debadatta
Bairagi, Nandadulal
APPLIED MATHEMATICAL MODELLING, 2018, 54 : 517 - 536
[32] Global stability and numerical simulation of a mathematical model of stem cells therapy of HIV-1 infection
Alqudah, Manar A.
Aljahdaly, Noufe H.
JOURNAL OF COMPUTATIONAL SCIENCE, 2020, 45
[33] The global dynamics of a model about HIV-1 infection in vivo
Wen Q.
Lou J.
Ricerche di Matematica, 2009, 58 (1) : 77 - 90
[34] Global properties and bifurcation analysis of an HIV-1 infection model with two target cells
Liu, Yongqi
Liu, Xuanliang
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 3455 - 3472
[35] Global properties and bifurcation analysis of an HIV-1 infection model with two target cells
Yongqi Liu
Xuanliang Liu
Computational and Applied Mathematics, 2018, 37 : 3455 - 3472
[36] Stability analysis of delay integro-differential equations of HIV-1 infection model
Ali, Nigar
Zaman, Gul
Jung, Il Hyo
GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (03) : 331 - 340
[37] GLOBAL DYNAMICS OF A DELAYED HIV-1 INFECTION MODEL WITH ABSORPTION AND SATURATION INFECTION
Xu, Rui
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (03)
[38] General model of a cascade of reactions with time delays: Global stability analysis
Bodnar, Marek
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (02) : 777 - 795
[39] GLOBAL STABILITY FOR A HIV-1 INFECTION MODEL WITH CELL-MEDIATED IMMUNE RESPONSE AND INTRACELLULAR DELAY
Wang, Jinliang
Guan, Lijuan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (01): : 297 - 302
[40] Hopf Bifurcation Analysis of HIV-1 Infection Model
Wang, Zhanwei
Yuan, Qingxin
INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014), 2014, : 206 - 211

← 1 2 3 4 5 →