Title of article :
Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative
Author/Authors :
Samei ، Mohammad Department of Mathematics - Faulty of Basic Science - Bu-Ali Sina University , Karimi ، Lotfollah Department of Mathematics - Hamedan University of Technology , K. A. Kaabar ، Mohammed Faculty of Science - University of Malaya , Raeisi ، Roya Department of Pediatrics - Hamadan University of Medical Science , Alzabut ، Jehad Department of Mathematics and General Sciences - Prince Sultan University , Gonzalez ، Francisco Martinez Department of Applied Mathematics and Statistics - Technological University of Cartagena
Abstract :
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.
Keywords :
Efficiency of vaccines , Numerical simulation , Equilibrium point , Covid , 19
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
