Global stability of novel coronavirus model using fractional derivative

Mathematical modeling plays a crucial role in disease modeling. Therefore, in this work, a mathematical model for novel coronavirus is proposed using Caputo-Fabrizio (CF) fractional derivative, while considering the issue of dimensional mismatch for proposed model. This model consists of paramount compartments such as asymptomatic and quarantined. Subsequently, existence and uniqueness of proposed model are shown with the help of fixed-point theorem. The boundedness of solutions is also established using Laplace transform. The local and global stability of disease-free equilibrium point (DFE) of the proposed fractional order model is evaluated. The model is numerically solved using the three-point Adams–Bashforth method (ABM). The predicted results are validated through real data for India. For finding the best-fitted parameters which describe the coronavirus scenario, LSQCURVEFIT function in MATLAB is employed. To determine the reliability of the applied technique, we conduct a comparative analysis of ABM method with Euler method. Notably, the results show the efficiency of ABM method. At the same time, sensitivity analysis for parameters in accordance with reproduction number is conferred. Furthermore, numerical results for distinct values of fractional order derivatives are accomplished. This study also shows the long-term trajectories for recovered, active and death cases. The obtained results of the proposed model are in line with real data for fractional order. Additionally, various control measures are also shown graphically. The simulated results show the effectiveness of fractional order derivatives and control parameters which may help government officials and individuals manage the pandemic in a better way.