Work

Analysis, modeling and simulation of a fractional-order influenza model

Year: 2023

Type: article

Abstract: The primary goal of this study is to provide a novel mathematical model for Influenza using the Atangana–Baleanu Caputo fractional-order derivative operator (ABC-Operator) in place of the standard operator. There will be an examination of how the influenza-positive solutions reacts to real-world data. The fractional Euler Method will be utilized to reveal the dynamics of the influenza mathematical model. Both the stability of the disease-free equilibrium and the endemic equilibrium points, two symmetrical extrema of the proposed dynamical model, are examined. It will be shown, using numerical comparisons, that the findings obtained by employing the fractional-order model are considerably more similar to certain actual data than the integer-order model's results. These should shed light on the significance of fractional calculus when confronting epidemic risks.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2023.05.011

Authors: Mohamed A. Abdoon, Rania Saadeh, Mohammed Berir, Fathelrhman EL Guma, Mawada ali

Institutions: Shaqra University, University of Bakhtalruda, Zarqa University, Al Baha University, Al-Neelain University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $1,200