Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative
نویسندگان
1 Department of Mathematics, Hamedan University of Technology, Hamedan, Iran.
2 Gofa Camp, Near Gofa Industrial College and German Adebabay, Nifas Silk-Lafto, 26649 Addis Ababa, Ethiopia.
3 Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
4 Department of Mathematics, Faulty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran.
5 Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia.
6 Department of Pediatrics, Hamadan University of Medical Science, Hamadan, Iran.
doi
10.22034/cmde.2023.56465.2359چکیده
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.
