GLOBAL STABILITY OF HIV-1 AND HIV-2 MODEL WITH DRUG RESISTANCE COMPARTMENT

被引：5
|
作者：
Amine, Saida [1 ]
Farah, El Mehdi [1 ]
机构：
[1] Hassan II Univ Casablanca, Fac Sci & Tech, Dept Math & Comp Sci, Lab Math Comp Sci & Applicat LMCSA, POB 146, Mohammadia 20650, Morocco
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2021年
关键词：
HIV-1; HIV-2; drug therapy; basic reproduction number; stability; sensitivity analysis; HIV/AIDS; INFECTION; DYNAMICS;
D O I：
10.28919/cmbn/5643
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we propose a new mathematical model describing the dynamics of the human immunodeficiency virus 1 and 2 with drug resistant compartment. We proved the positivity and boundedness of solutions with non-negative initial conditions. The dynamical system admits four equilibrium states: free equilibrium disease, one endemic equilibrium of each strain and one of the two strains. Two basic reproduction numbers are calculated. The global stability of the four equilibrium points is proved by using suitable Lyapunov functions. Numerical simulations were carried out to illustrate our results and a parameter sensitivity analysis completed this work.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] The Evolution of Drug Resistance Interpretation Algorithms: ANRS, REGA and Extension of Resistance Analysis to HIV-1 Group O and HIV-2
    Eberle, Josef
    Guertler, Lutz
    INTERVIROLOGY, 2012, 55 (02) : 128 - 133
  • [22] Early Diagnosis of HIV-1 and HIV-2 Using Cobas HIV-1/HIV-2 Qualitative Test: A Novel Qualitative Nucleic Acid Amplification Test for Plasma, Serum, and Dried Blood Spot Specimens
    Hans, Lucia
    von Allmen, Nicole
    Edelmann, Anke
    Hofmann, Jorg
    Nilsson, Alex Y.
    Simon, Christian O.
    Seiverth, Britta
    Gohl, Peter
    Carmona, Sergio
    JAIDS-JOURNAL OF ACQUIRED IMMUNE DEFICIENCY SYNDROMES, 2021, 87 (05) : 1187 - 1195
  • [23] HIV-1 AND HIV-2 PREVALENCE OF SEROPOSITIVITY IN A POPULATION OF WEST AFRICA
    ZANCHETTA, N
    VIGANO, P
    PRIULI, GB
    FERRARIO, MP
    ZAGO, M
    PAGANO, A
    EUROPEAN JOURNAL OF EPIDEMIOLOGY, 1990, 6 (01) : 71 - 75
  • [24] ANTIBODIES TO HTLV-1-2, HIV-1 AND HIV-2 IN SYPHILITIC PATIENTS
    MANCA, N
    GRAIFENBERGHI, S
    COLOMBRITA, D
    EUROPEAN JOURNAL OF EPIDEMIOLOGY, 1990, 6 (02) : 201 - 206
  • [25] HIV-1和HIV-2混合感染的发现
    邵一鸣
    戴玉琳
    邢辉
    潘品良
    冯毅
    中华实验和临床病毒学杂志, 1999, (04) : 83 - 85
  • [26] Survival of HIV-1 and HIV-2 perinatally infected children in The Gambia
    van der Loeff, MFS
    Hansmann, A
    Awasana, AA
    Ota, MO
    O'Donovan, D
    Sarge-Njie, R
    Ariyoshi, K
    Milligan, P
    Whittle, H
    AIDS, 2003, 17 (16) : 2389 - 2394
  • [27] The challenge of discriminating between HIV-1, HIV-2 and HIV-1/2 dual infections
    Honge, B. L.
    Jespersen, S.
    Medina, C.
    Te, D. S.
    da Silva, Z. J.
    Christiansen, M.
    Kjerulff, B.
    Laursen, A. L.
    Wejse, C.
    Krarup, H.
    Erikstrup, C.
    HIV MEDICINE, 2018, 19 (06) : 403 - 410
  • [28] GLOBAL STABILITY OF AN HIV-1 MODEL WITH DISTRIBUTED INTRACELLULAR DELAYS AND A COMBINATION THERAPY
    Liu, Shengqiang
    Wang, Lin
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2010, 7 (03) : 675 - 685
  • [29] HIV-1 AND HIV-2 INFECTIONS AND AIDS IN WEST-AFRICA
    DECOCK, KM
    BRUNVEZINET, F
    SORO, B
    AIDS, 1991, 5 : S21 - S28
  • [30] An HIV Diagnostic Testing Algorithm Using the cobas HIV-1/HIV-2 Qualitative Assay for HIV Type Differentiation and Confirmation
    Duncan, Dana
    Duncan, John
    Kramer, Bastian
    Nilsson, Alex Y.
    Haile, Betiel
    Butcher, Ann
    Chugh, Shikha
    Baum, Paul
    Aldrovandi, Grace M.
    Young, Stephen
    Avery, Ann K.
    Tashima, Karen
    Valsamakis, Alexandra
    Yao, Joseph D.
    Chang, Ming
    Coombs, Robert W.
    JOURNAL OF CLINICAL MICROBIOLOGY, 2021, 59 (07)
12345