A Numerical Confirmation of a Fractional SEITR for Influenza Model Efficiency

Authors

Dalal Khalid Almutairi, Department of Mathematics, College of Education (Majmaah), Majmaah University, P.O.Box 66, Al-Majmaah, 11952, Saudi ArabiaFollow
Mohamed A.Abdoon, Department of Basic Sciences (Mathematics) Deanship of Common First Year, Shaqra University, Riyadh 15342, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, SudanFollow
Mohammed Berir, Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan\\ Department of Mathematics, Faculty of Science and Arts, Al-baha University, Baljurashi 1988, Saudi ArabiaFollow
Rania Saadeh, Department of Mathematics, Zarqa University, Zarqa, 13110, JordanFollow
Ahmad Qazza, Department of Mathematics, Zarqa University, Zarqa, 13110, JordanFollow

Author Country (or Countries)

Saudi Arabia

Abstract

The main idea of this study is to reduce the number of susceptible to infections so that ill patients can receive prompt hospitalization. Fractional SEITR was introduced for this purpose. Both endemic and disease-free equilibrium’s’ durability was examined. The fundamental reproduction number of the fractional SEITR model was determined using the next-generation matrix method. Our analytical results were supported by numerical models. Here, a graphical representation of the fractional order model is presented to validate the conclusion through numerical simulation. We have come to the conclusion that the fractional order model is more precise and provides more information about the true data of disease dynamics.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170502

Recommended Citation

Khalid Almutairi, Dalal; A.Abdoon, Mohamed; Berir, Mohammed; Saadeh, Rania; and Qazza, Ahmad (2023) "A Numerical Confirmation of a Fractional SEITR for Influenza Model Efficiency," Applied Mathematics & Information Sciences: Vol. 17: Iss. 5, Article 2.
DOI: http://dx.doi.org/10.18576/amis/170502
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss5/2