ABSTRACT
In this paper, a new model has been proposed to analyze the infection due to the coronavirus (COVID-19). The model emphasizes the importance of environmental reservoir in spreading the infection and infecting others. It also keeps control measures regarding infection at the highest level by using non-constant transmission rates in the model. The analysis of the coronavirus model has been done via Caputo-Fabrizio fractional derivative operator. The existence of solutions of the model has been examined by using a fixed-point approach and the uniqueness of the solution has also been obtained. Further, the stability analysis of the model has been performed in the sense of Hyers-Ulam stability. Finally, the numerical solution has been obtained by using the Adam-Basford numerical approach, and also simulations for different fractional derivative values have been carried out. As a result, the mathematical modeling of the new type of coronavirus (COVID-19) has been applied to fractional-order derivatives and integral operators and its simulations with the real data have been shown.