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Samei, Mohammad, Karimi, Lotfollah, K. A. Kaabar, Mohammed, Raeisi, Roya, Alzabut, Jehad, Gonzalez, Francisco Martinez. (1403). Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative. سامانه مدیریت نشریات علمی, 12(3), 454-470. doi: 10.22034/cmde.2023.56465.2359
Mohammad Esmael Samei; Lotfollah Karimi; Mohammed K. A. Kaabar; Roya Raeisi; Jehad Alzabut; Francisco Martinez Gonzalez. "Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative". سامانه مدیریت نشریات علمی, 12, 3, 1403, 454-470. doi: 10.22034/cmde.2023.56465.2359
Samei, Mohammad, Karimi, Lotfollah, K. A. Kaabar, Mohammed, Raeisi, Roya, Alzabut, Jehad, Gonzalez, Francisco Martinez. (1403). 'Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative', سامانه مدیریت نشریات علمی, 12(3), pp. 454-470. doi: 10.22034/cmde.2023.56465.2359
Samei, Mohammad, Karimi, Lotfollah, K. A. Kaabar, Mohammed, Raeisi, Roya, Alzabut, Jehad, Gonzalez, Francisco Martinez. Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative. سامانه مدیریت نشریات علمی, 1403; 12(3): 454-470. doi: 10.22034/cmde.2023.56465.2359

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

Computational Methods for Differential Equations
مقاله 3، دوره 12، شماره 3، مهر 2024، صفحه 454-470    اصل مقاله (520.1 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.56465.2359
نویسندگان
Mohammad Esmael Samei* 1؛ Lotfollah Karimi2؛ Mohammed K. A. Kaabar3، 4؛ Roya Raeisi5؛ Jehad Alzabut6، 7؛ Francisco Martinez Gonzalez8
1Department of Mathematics, Faulty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran.
2Department of Mathematics, Hamedan University of Technology, Hamedan, Iran.
3Gofa Camp, Near Gofa Industrial College and German Adebabay, Nifas Silk-Lafto, 26649 Addis Ababa, Ethiopia.
4Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia.
5Department of Pediatrics, Hamadan University of Medical Science, Hamadan, Iran.
6Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
7Department of Industrial Engineering, OST˙IM Technical University, 06374 Ankara, Turkey.
8Department of Applied Mathematics and Statistics, Technological University of Cartagena, Cartagena 30203, Spain.
چکیده
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.
کلیدواژه‌ها
Efficiency of vaccines؛ Numerical simulation؛ Equilibrium point؛ COVID-19
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