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
  • [31] Monocyte phenotype and extracellular vesicles in HIV-1, HIV-2, and HIV-1/2 dual infection
    Honge, Bo L.
    Andersen, Morten N.
    Petersen, Mikkel S.
    Jespersen, Sanne
    Medina, Candida
    Te, David D. S.
    Kjerulff, Bertram
    Laursen, Alex L.
    Moller, Holger J.
    Wejse, Christian
    Krarup, Henrik
    Moller, Bjarne K.
    Erikstrup, Christian
    AIDS, 2023, 37 (12) : 1773 - 1781
  • [32] Analysis of HIV-2 RT mutants provides evidence that resistance of HIV-1 RT and HIV-2 RT to nucleoside analogs involves a repositioning of the template-primer
    Perach, M
    Rubinek, T
    Hughes, SH
    Hizi, A
    JOURNAL OF MOLECULAR BIOLOGY, 1997, 268 (03) : 648 - 654
  • [33] The protective effect of HIV-2 infection: implications for understanding HIV-1 immunity
    Kanki, Phyllis J.
    Rowland-Jones, Sarah
    AIDS, 2014, 28 (07) : 1065 - 1067
  • [34] Field evaluation of alternative testing strategies for diagnosis and differentiation of HIV-1 and HIV-2 infections in an HIV-1 and HIV-2-prevalent area
    Andersson, S
    daSilva, Z
    Norrgren, H
    Dias, F
    Biberfeld, G
    AIDS, 1997, 11 (15) : 1815 - 1822
  • [35] Performance of rapid tests for discrimination between HIV-1 and/or HIV-2 infections
    Gautheret-Dejean, Agnes
    Bocobza, Jonathan
    Brunet, Sylvie
    Damond, Florence
    Plantier, Jean-Christophe
    Barin, Francis
    JOURNAL OF MEDICAL VIROLOGY, 2015, 87 (12) : 2061 - 2066
  • [36] Inhibition of HIV-2 protease by HIV-1 protease inhibitors in clinical use
    Brower, Evan T.
    Bacha, Usman M.
    Kawasaki, Yuko
    Freire, Ernesto
    CHEMICAL BIOLOGY & DRUG DESIGN, 2008, 71 (04) : 298 - 305
  • [37] Community study of the relative impact of HIV-1 and HIV-2 on intrathoracic tuberculosis
    Seng, R
    Gustafson, P
    Gomes, VF
    Vieira, CS
    Rabna, P
    Larsen, O
    Larouzé, B
    Norberg, R
    Lisse, IM
    Samb, B
    AIDS, 2002, 16 (07) : 1059 - 1066
  • [38] Convergent Evolution of HLA-C Downmodulation in HIV-1 and HIV-2
    Hopfensperger, Kristina
    Richard, Jonathan
    Stuerzel, Christina M.
    Bibollet-Ruche, Frederic
    Apps, Richard
    Leoz, Marie
    Plantier, Jean-Christophe
    Hahn, Beatrice H.
    Finzi, Andres
    Kirchhoff, Frank
    Sauter, Daniel
    MBIO, 2020, 11 (04): : 1 - 19
  • [39] CROSS-REACTIVITY ON WESTERN BLOTS IN HIV-1 AND HIV-2 INFECTIONS
    DECOCK, KM
    PORTER, A
    KOUADIO, J
    MARAN, M
    LAFONTAINE, MF
    GERSHYDAMET, GM
    HEYWARD, WL
    GEORGE, R
    AIDS, 1991, 5 (07) : 859 - 863
  • [40] DIAGNOSIS AND DIFFERENTIATION OF HIV-1 AND HIV-2 INFECTION BY 2 RAPID ASSAYS IN NIGERIA
    KLINE, RL
    DADA, A
    BLATTNER, W
    QUINN, TC
    JOURNAL OF ACQUIRED IMMUNE DEFICIENCY SYNDROMES AND HUMAN RETROVIROLOGY, 1994, 7 (06): : 623 - 626
12345