Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative

Document Type : Research Paper

Authors

1 Department of Mathematics, Faulty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran.

2 Department of Mathematics, Hamedan University of Technology, Hamedan, Iran.

3 Gofa Camp, Near Gofa Industrial College and German Adebabay, Nifas Silk-Lafto, 26649 Addis Ababa, Ethiopia.

4 Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia.

5 Department of Pediatrics, Hamadan University of Medical Science, Hamadan, Iran.

6 Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.

7 Department of Industrial Engineering, OST˙IM Technical University, 06374 Ankara, Turkey.

8 Department of Applied Mathematics and Statistics, Technological University of Cartagena, Cartagena 30203, Spain.

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

Main Subjects

References

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Computational Methods for Differential Equations
Volume 12, Issue 3
July 2024
Pages 454-470

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History

  • Receive Date: 06 May 2023
  • Revise Date: 08 October 2023
  • Accept Date: 09 October 2023

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