Stability of a stochastic model for HIV-1 dynamics within a host

被引：16
作者：
Shaikhet, Leonid [1 ]
Korobeinikov, Andrei [2 ,3 ]
机构：
[1] Donetsk State Univ Management, Dept Higher Math, Chelyuskintsev St 163a, UA-83015 Donetsk, Ukraine
[2] Ctr Recerca Matemat, Campus Bellaterra,Edifici C, Barcelona 08193, Spain
[3] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
来源：
APPLICABLE ANALYSIS | 2016年 / 95卷 / 06期
关键词：
60H10; Primary: 92D30; Secondary: 34D20; virus dynamics; stochastic model; Lyapunov function; direct Lyapunov method; equilibrium state; GLOBAL ASYMPTOTIC PROPERTIES; PREDATOR-PREY MODEL; LYAPUNOV FUNCTIONS; EPIDEMIOLOGIC MODELS; NONLINEAR INCIDENCE; SEIR; SYSTEMS; DELAY; SIR;
D O I：
10.1080/00036811.2015.1058363
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a stochastically perturbed Nowak-May model of virus dynamics within a host. Using the direct Lyapunov method, we found sufficient conditions for the stability in probability of equilibrium states of this model.
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页码：1228 / 1238
页数：11
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