ANALYSIS OF A POISSON-DRIVEN STOCHASTIC COVID-19 AND HEPATITIS B CO-INFECTION MODEL

In this article, we formulate and analyse a mathematical model for the co-infection of Hepatitis B virus and COVID-19. We incorporate into our framework Hepatitis B virus prevention, COVID-19 prevention, COVID-19 vaccination, and environmental factors so as to investigate their effect on transmission dynamics. First, we derive the basic reproduction number for HBV only, COVID-19 only, and co-infection stochastic models using the next generation matrix method. Next, we establish the conditions for stability in the stochastic sense for HBV only, COVID-19 only sub-models, and the co-infection model. Furthermore, we devote our attention to finding sufficient conditions for extinction and persistence. Finally, by using the Euler–Murayama scheme, we illustrate the dynamics of the co-infection, COVID-19, HBV and the effect of some parameters on disease transmission dynamics by means of numerical simulations.