Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102568 | Physica A: Statistical Mechanics and its Applications | 2017 | 32 Pages |
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 R0â¤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 Eâ. Sufficient conditions of these results are established. Finally, we give some examples and a series of numerical simulations to illustrate the analytical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qun Liu, Daqing Jiang, Tasawar Hayat, Bashir Ahmad,