Mathematical analysis of an HIV model with impulsive antiretroviral drug doses

被引：23

作者：

Gao, Ting ^{[1
]}

Wang, Wendi ^{[1
]}

Liu, Xianning ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Key Lab Ecoenvironm Three Gorges Reservoir Reg, Chongqing 400715, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 82卷 / 04期

关键词：

Global stability; Uniform persistence; Subharmonic solution; Impulse; Chaos; SUBHARMONIC BIFURCATION; IMMUNOLOGICAL MODEL; TREATMENT REGIMENS; DYNAMICS; INFECTION; RESISTANCE; PREY; ADHERENCE;

D O I：

10.1016/j.matcom.2011.10.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we incorporate the periodic therapy from antiretroviral drugs for HIV into the standard within-host virus model. and study the stability and bifurcation of the system. It is shown that when the basic reproduction number of virus is less than one, there is an infection-free equilibrium which is globally stable. Further, if it is greater than one, the HIV infection is uniformly persistent. Besides, subharmonic bifurcation occurs under suitable conditions, and chaotic attractor may emerge through period doubling routes, which can be used to explain the HIV patients' unpredictable unstable health states, even after a long and hard treatment. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：653 / 665

页数：13

共 50 条

[41] Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy
Rong, Libin
Feng, Zhilan
Perelson, Alan S.
SIAM JOURNAL ON APPLIED MATHEMATICS, 2007, 67 (03) : 731 - 756
[42] Linking HIV and antiretroviral drug resistance surveillance in Peru: A model for a third-generation HIV sentinel surveillance
Lama, Javier R.
Sanchez, Jorge
Suarez, Luis
Caballero, Patricia
Laguna, Alberto
Sanchez, Jose L.
Whittington, William L. H.
Celum, Connie
Grant, Robert M.
JAIDS-JOURNAL OF ACQUIRED IMMUNE DEFICIENCY SYNDROMES, 2006, 42 (04) : 501 - 505
[43] Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection
Beilina, L.
Eriksson, M.
Gainova, I
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 32 (1) : 313 - 347
[44] Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection
L. Beilina
M. Eriksson
I. Gainova
Differential Equations and Dynamical Systems, 2024, 32 : 313 - 347
[45] A Class Age-Structured HIV/AIDS Model with Impulsive Drug-Treatment Strategy
Liu, Helong
Li, Lianbing
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[46] Analysis of Protease and Reverse Transcriptase Genes of HIV for Antiretroviral Drug Resistance in Jamaican Adults
Hamilton, Cindy-Leigh C.
Eyzaguirre, Lindsay M.
Amarakoon, Icolyn I.
Figueroa, Peter
Duncan, Jacqueline
Carr, Jean K.
Roye, Marcia E.
AIDS RESEARCH AND HUMAN RETROVIRUSES, 2012, 28 (08) : 923 - 927
[47] MATHEMATICAL ANALYSIS OF A HIV MODEL WITH QUADRATIC LOGISTIC GROWTH TERM
Fan, Xinyue
Brauner, Claude-Michel
Wittkop, Linda
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (07): : 2359 - 2385
[48] Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
de Carvalho, Tiago
Cristiano, Rony
Goncalves, Luiz Fernando
Tonon, Durval Jose
NONLINEAR DYNAMICS, 2020, 101 (01) : 719 - 739
[49] Mathematical and dynamic analysis of an ecological model with an impulsive control strategy and distributed time delay
Yu, Hengguo
Zhong, Shouming
Ye, Mao
Chen, Wufan
MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (11-12) : 1622 - 1635
[50] Mathematical Analysis and Clinical Implications of an HIV Model with Adaptive Immunity
Danane, Jaouad
Allali, Karam
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2019, 2019

← 1 2 3 4 5 →