In this work, a stochastic mathematical model for the transmission of Coronavirus disease is investigated to study the effect of different safety protocols, for instance, social-distancing, mask use and quarantine on the spread of this virus. For this purpose, the details of the proposed deterministic COVID-19 model and its stochastic version are described. Finally, numerical solutions are determined by using a collocation approach to illustrate the impact of different parameters on the dynamics of the disease.