A Stochastic Differential Equations Model for Internal COVID-19 Dynamics

Abstract

Abstract In this article, we analyze stochastic differential equations model for internal coronavirus (COVID-19) dynamics. The stochastic differential equations model are expressed using the Ito’s formula. The Environmental stochasticity in this dynamical model is presented via parameters disturbance which is the standard method in the stochastic differential equations(SDEs) in the population modeling. We than prove that this model decided in this paper have a unique global positive solution because this is fundamental in any population dynamics model. The main aim of this paper, we formulate the interaction of coronavirus COVID-19 with host cells and presented the conditions required in order to the COVID-19 to die out. And this results also illustrated by computer simulation.