Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7374454 | Physica A: Statistical Mechanics and its Applications | 2018 | 16 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qun Liu, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi,