Article ID Journal Published Year Pages File Type
7374454 Physica A: Statistical Mechanics and its Applications 2018 16 Pages PDF
Abstract
In this paper, we consider a stochastic HIV-1 model with Beddington-DeAngelis infection rate. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution to the model. Then we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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