Q. Badshah, G. Ur Rahman, R. P. Agarwal, S. Islam, & Farooq Jan.  Applications of Ergodic Theory and Dynamical Aspects of Stochastic Hepatitis-c Model.  Dynamic Systems and Applications 29 (2020) No. 1, 139-181

https://doi.org/10.46719/dsa202029110

ABSTRACT.
A novel mathematical model is formulated to show the dynamical aspects of Hepatitis-C (HCV) model, assuming four partitions of population: susceptible, latent, acute and chronic infection. Analysis of the underlying system shows the existence of positive global solution. Afterwards, we explore the parametric conditions for extinction of the disease. It is verified that there is an ergodic stationary distribution, which reveals the disease’s persistence. Moreover, It has found that there exists a threshold value that determines essential parameter to be used in studying the dynamics of the model. Theoretical findings are illustrated numerically, and examples are given to
justify the obtained results.

AMS (MOS) Subject Classification. 60H10, 92B05, 92D40, 92D30