Abstract
Abstract
In this paper, a human immunodeficiency virus (HIV) infection model that includes a protease inhibitor (PI), two intracellular delays, and a general incidence function is derived from biologically natural assumptions. The global dynamical behavior of the model in terms of the basic reproduction number $\mathcal{R}_{0}$
R
0
is investigated by the methods of Lyapunov functional and limiting system. The infection-free equilibrium is globally asymptotically stable if $\mathcal{R}_{0}\leq 1$
R
0
≤
1
. If $\mathcal{R}_{0}>1$
R
0
>
1
, then the positive equilibrium is globally asymptotically stable. Finally, numerical simulations are performed to illustrate the main results and to analyze thre effects of time delays and the efficacy of the PI on $\mathcal{R}_{0}$
R
0
.
Funder
International Training Project for Outstanding Young Scientific Research Talents in Guangdong Universities in 2018 at South China Normal University
Natural Science Foundation of Guangdong Province
General Program of the Natural Science Foundation of Guangdong Province of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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