University of Tabriz Computational Methods for Differential Equations 2345-3982 12 3 2024 05 01 Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative 454 470 16926 10.22034/cmde.2023.56465.2359 EN Mohammad Esmael Samei Department of Mathematics, Faulty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran. Lotfollah Karimi Department of Mathematics, Hamedan University of Technology, Hamedan, Iran. Mohammed K. A. Kaabar Gofa Camp, Near Gofa Industrial College and German Adebabay, Nifas Silk-Lafto, 26649 Addis Ababa, Ethiopia. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia. Roya Raeisi Department of Pediatrics, Hamadan University of Medical Science, Hamadan, Iran. Jehad Alzabut Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia. Department of Industrial Engineering, OST˙IM Technical University, 06374 Ankara, Turkey. Francisco Martinez Gonzalez Department of Applied Mathematics and Statistics, Technological University of Cartagena, Cartagena 30203, Spain. Journal Article 2023 05 06 The objectives of this study are to develop the SEIR model for COVID-19 and evaluate its main parameters such as therapeutic vaccines, vaccination rate, and effectiveness of prophylactic. Global and local stability of the model and numerical simulation are examined. The local stability of equilibrium points was classified. A Lyapunov function is constructed to analyze the global stability of the disease-free equilibrium. The simulation part is based on two situations, including the USA and Iran. Our results provide a good contribution to the current research on this topic. https://cmde.tabrizu.ac.ir/article_16926_fcc84bfd3bfc2236c23f1955c8d3660f.pdf