A New COVID 19 model using fractional calculus: stability, mitigate pandemic and simulations
Noureddine Djenina, Giuseppe Grassi, Adel Ouannas, Zohir Dibi
Abstract
Fractional-order (F-O) equations have been shown to accurately describe the spread of coronavirus because of their ability to incorporate the effects of memory into the dynamics. The paper introduces a new and unique way of modeling COVID-19 using the fractional-order operator. Unlike traditional models, this innovative approach incorporates the variable of vaccinated individuals, making it more comprehensive and accurate in its predictions. A newly derived theorem is put forth, highlighting the conditions necessary for the pandemic to subside. To illustrate the practical implications of the proposed model, the study includes a series of numerical simulations, demonstrating the efficacy of the obtained findings. These simulations serve to substantiate the effectiveness of the results presented in the paper.