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.
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页数：16
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