Ergodic Stationary Distribution of Hepatitis C Virus Model Incorporating
Two Treatment Effects
In this paper, the dynamics of Hepatitis C infectious disease model with
two treatment effects are studied through the Ito Stochastic
Differential Equations (SDEs). While the first treatment rate reduces
the reproduction of virion, the other mitigates the new infections.
Though the deterministic behaviour of the model has been extensively
studied, little is known about its stochastic properties. Thus, we
examine sufficient conditions for the existence and uniqueness of the
ergodic stationary distribution of the model via stochastic Lyapunov
approach. The existence of a unique positive solution is also studied.
The numerical simulations of the SDE model are performed through the
Euler-Maruyama method and compared with their deterministic
counterparts. The results obtained by SDEs are found to conform to those
reported through their deterministic analogues.