Dynamics of a stochastic HIV-1 infection model with logistic growth

Daqing Jiang, Qun Liu, Ningzhong Shi, Tasawar Hayat, Ahmed Alsaedi and Peiyan Xia

Physica A: Statistical Mechanics and its Applications, 2017, vol. 469, issue C, 706-717

Abstract: This paper is concerned with a stochastic HIV-1 infection model with logistic growth. Firstly, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HIV-1 infection model. Then we obtain sufficient conditions for extinction of the infection. The stationary distribution shows that the infection can become persistent in vivo.

Keywords: Stochastic HIV-1 infection model; Stationary distribution; Extinction; Lyapunov function (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:469:y:2017:i:c:p:706-717

DOI: 10.1016/j.physa.2016.11.078

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