MATHEMATICAL MODELING AND STABILITY ANALYSIS OF THE DYNAMICS OF MONKEYPOX VIA FRACTIONAL-CALCULUS

Rabab Alharbi, Rashid Jan, Sultan Alyobi, Yousif Altayeb and Ziad Khan
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Rabab Alharbi: Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi Arabia
Rashid Jan: ��Department of Mathematics, University of Swabi, Swabi 23430, KPK, Pakistan
Sultan Alyobi: ��Department of Mathematics, College of Science & Arts, King Abdulaziz University, Rabigh, Saudi Arabia
Yousif Altayeb: Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi Arabia
Ziad Khan: ��Department of Mathematics, University of Swabi, Swabi 23430, KPK, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-16

Abstract: In this research work, we offer an epidemic model for monkeypox virus infection with the help of non-integer derivative as well as classical ones. The model takes into account every potential connection that can aid in the spread of infection among the people. We look into the model’s endemic equilibrium, disease-free equilibrium, and reproduction number ℛ0. In addition to this, we concentrated on the qualitative analysis and dynamic behavior of the monkeypox virus. Through fixed point theorem, Banach’s and Schaefer’s are applied to study the existence and uniqueness of the solution of the suggested system of the monkeypox virus infection. We provide the necessary criteria for the recommended fractional system’s Ulam–Hyers stability. Furthermore, a numerical approach is used to study the solution routes and emphasize how the parameters affect the dynamics of the monkey pox virus. The most crucial features of the dynamics of the monkeypox virus are noticed and suggested to decision-makers.

Keywords: Monkeypox Infection; Mathematical Model; Fractional-Calculus; Stability Analysis; Numerical Method; Dynamical Behavior (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402666

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