Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence

Qun Liu, Daqing Jiang, Tasawar Hayat and Bashir Ahmad

Physica A: Statistical Mechanics and its Applications, 2017, vol. 486, issue C, 867-882

Abstract: In this paper, a stochastic delayed HIV-1 infection model with nonlinear incidence is proposed and investigated. First of all, we prove that there is a unique global positive solution as desired in any population dynamics. Then by constructing some suitable Lyapunov functions, we show that if the basic reproduction number R0≤1, then the solution of the stochastic system oscillates around the infection-free equilibrium E0, while if R0>1, then the solution of the stochastic system fluctuates around the infective equilibrium E∗. Sufficient conditions of these results are established. Finally, we give some examples and a series of numerical simulations to illustrate the analytical results.

Keywords: Stochastic HIV-1 infection model; Time delay; Nonlinear incidence; Lyapunov functional (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:486:y:2017:i:c:p:867-882

DOI: 10.1016/j.physa.2017.05.069

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