Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment

被引:55
|
作者
Li, Michael Y. [1 ]
Wang, Liancheng [2 ]
机构
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Kennesaw State Univ, Dept Math & Stat Sci, Kennesaw, GA 30144 USA
基金
加拿大自然科学与工程研究理事会; 加拿大创新基金会;
关键词
COMPOUND MATRICES; GLOBAL DYNAMICS; VIRUS DYNAMICS; AIDS; STABILITY; RESERVOIR; THERAPY;
D O I
10.1016/j.nonrwa.2013.11.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Anti-retroviral treatments (ART) such as HAART have been used to control the replication of HIV virus in HIV-positive patients. In this paper, we study an in-host model of HIV infection with ART and carry out mathematical analysis of the global dynamics and bifurcations of the model in different parameter regimes. Among our discoveries is a parameter region for which backward bifurcation can occur. Biologically, the catastrophic behaviors associated with backward bifurcations may explain the sudden rebound of HIV viral load when ART is stopped, and possibly provide an explanation for the viral blips during ART suppression of HIV. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:147 / 160
页数:14
相关论文
共 50 条
  • [1] HCV infection and anti-retroviral treatment
    Filippini, P
    Coppola, N
    Scolastico, C
    Liorre, G
    Nocera, R
    Sagnelli, E
    Piccinino, F
    [J]. SEVENTH EUROPEAN CONFERENCE ON CLINICAL ASPECTS AND TREATMENT OF HIV-INFECTION, 1999, : 81 - 85
  • [2] THE RHEUMATIC MANIFESTATIONS OF HIV INFECTION IN THE ANTI-RETROVIRAL ERA
    Bone, Karen Walker
    [J]. RHEUMATOLOGY, 2014, 53 : 17 - 17
  • [3] Prevention of HIV-1 infection with the early start of anti-retroviral treatment
    Fernandez de Orueta, L.
    [J]. REVISTA CLINICA ESPANOLA, 2012, 212 (03): : 149 - 150
  • [4] Undiagnosed arterial hypertension in patients with HIV infection receiving anti-retroviral treatment
    Leon, Rafael
    Reus, Sergio
    Diez, Marcos
    Portilla, Joaquin
    [J]. REVISTA ESPANOLA DE QUIMIOTERAPIA, 2018, 31 (01) : 58 - 59
  • [5] Acute HIV infection: the impact of anti-retroviral treatment on cellular immune responses
    Hicks, C. B.
    Gay, C.
    Ferrari, G.
    [J]. CLINICAL AND EXPERIMENTAL IMMUNOLOGY, 2007, 149 (02): : 211 - 216
  • [6] Backward bifurcation and stability analysis in a within-host HIV model with both virus-to-cell infection and cell-to-cell transmission, and anti-retroviral therapy
    Bai, Ning
    Xu, Rui
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 200 : 162 - 185
  • [8] Investigating endothelial dysfunction as a pathophysiological consequence of HIV-infection and anti-retroviral treatment
    Genis, A.
    Ogundipe, T. P.
    Marincowitz, C.
    Strijdom, H.
    [J]. CARDIOVASCULAR RESEARCH, 2018, 114 : S43 - S43
  • [9] Evaluation of inadequate anti-retroviral treatment in patients with HIV/AIDS
    da Fonseca, Leonardo Carvalho
    Martins, Francislene Juliana
    Padula Alves Vieira, Rita de Cassia
    Coelho Pereira, Rouzeli Maria
    Ferreira, Aline Siqueira
    Barbosa Raposo, Nadia Rezende
    [J]. REVISTA DA SOCIEDADE BRASILEIRA DE MEDICINA TROPICAL, 2012, 45 (02) : 151 - 155
  • [10] THE EFFECTS OF HIV-INFECTION AND ANTI-RETROVIRAL TREATMENT ON ENDOTHELIAL FUNCTION IN A SOUTH AFRICAN COHORT
    Mashele, N.
    Charania, S.
    Essop, F.
    Webster, I.
    Westcott, C.
    Goswami, N.
    De Boever, P.
    Nawrot, T.
    Strijdom, H.
    [J]. ATHEROSCLEROSIS, 2016, 252 : E162 - E163