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

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Abstract

In this article, we formulate and analyse a novel mathematical model for the co-infection of Hepatitis B virus (HBV) and COVID-19. We investigate the effect of compliance to preventive measures, and massive disturbances due to environmental factors on transmission dynamics. First, we establish the basic reproduction number for HBV only , COVID-19 only, , and co-infection stochastic models around disease-free equilibrium point. Next, the conditions for stability in the stochastic sense for HBV only, COVID-19 only sub-models, and the co-infection model are established. Furthermore, we devote our attention to sufficient conditions for extinction and persistence using each of these reproductive numbers. Finally, by using the Euler–Murayama scheme, we demonstrate the dynamics of the coinfection, COVID-19, HBV and effect of some parameters on disease transmission dynamics by means of numerical simulations.

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