University of TabrizComputational Methods for Differential Equations2345-3982Articles in Press20240501Modeling and Simulation of COVID-19 Disease Dynamics via Caputo Fabrizio Fractional Derivative1787110.22034/cmde.2024.59569.2539ENSanjayBhatterDepartment of Mathematics, Malaviya National Institute of Technology Jaipur, India.BhaminiBhatiaDepartment of Mathematics, Malaviya National Institute of Technology Jaipur, India.SangeetaKumawatDepartment of Mathematics, Malaviya National Institute of Technology Jaipur, India.Sunil DuttPurohit1. Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India.
2. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.0000-0002-1098-5961Journal Article20231212The motive of this paper is to investigate the SEIQRD model of COVID-19 outbreak in Indonesia with the help of fractional modeling approach. The model is described by the nonlinear system of six fractional order differential equations (DE) incorporating Caputo Fabrizio Fractional derivative (CFFD) operator. The existence and uniqueness of model are proved by applying the well-known Banach contraction theorem. The reproduction number ($ R_0$) is calculated, and its sensitivity analysis is conducted concerning each parameters of the model for the prediction and persistence of the infection. Moreover, the numerical simulation for various fractional orders is performed using Adams-Bashforth technique to analyze the transmission behavior of disease and to get the approximated solutions. At last, we represent our numerical simulation graphically to illustrate our analytical findings.https://cmde.tabrizu.ac.ir/article_17871_ecfd91e32cdb2cebfe608eae2da5ba2e.pdf