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Stochastic HIV-1 infection model with varying coefficients and time delay. (English) Zbl 1374.92105

Summary: In this paper, a stochastic HIV-1 infection model with varying coefficients and time delay is proposed. It is proved that there exists a unique globally positive solution. Sufficient conditions for the asymptotic stability of the infection-free equilibrium are given.

MSC:

92C60 Medical epidemiology
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34F05 Ordinary differential equations and systems with randomness
34D20 Stability of solutions to ordinary differential equations