A GENERALIZED FRACTIONAL ORDER MODEL FOR COV-2 WITH VACCINATION EFFECT USING REAL DATA

Mohammadi Begum Jeelani, Abeer S. Alnahdi (), Mohammed S. Abdo, Mohammed A. Almalahi, Nadiyah Hussain Alharthi and Kamal Shah
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Mohammadi Begum Jeelani: Department of Mathematics, Imam Mohammad Ibn Saud Islamic University, College of Science, Riyadh, Saudi Arabia
Abeer S. Alnahdi: Department of Mathematics, Imam Mohammad Ibn Saud Islamic University, College of Science, Riyadh, Saudi Arabia
Mohammed S. Abdo: ��Department of Mathematics, Hodeidah University, Al-Hudaydah, Yemen
Mohammed A. Almalahi: ��Department of Mathematics, Hajjah University, Hajjah, Yemen
Nadiyah Hussain Alharthi: Department of Mathematics, Imam Mohammad Ibn Saud Islamic University, College of Science, Riyadh, Saudi Arabia
Kamal Shah: Department of Mathematics, University of Malakand, Chakdara Dir(L), KPK 18000, Pakistan

FRACTALS (fractals), 2023, vol. 31, issue 04, 1-19

Abstract: This work is devoted to studying the transmission dynamics of CoV-2 under the effect of vaccination. The aforesaid model is considered under fractional derivative with variable order of nonsingular kernel type known as Atangan–Baleanue–Caputo (ABC). Fundamental properties of the proposed model including equilibrium points and R0 are obtained by using nonlinear analysis. The existence and uniqueness of solution to the considered model are investigated via fixed point theorems due to Banach and Krasnoselskii. Also, the Ulam–Hyers (UH) approach of stability is used for the said model. Further numerical analysis is investigated by using fundamental theorems of AB fractional calculus and the iterative numerical techniques due to Adams–Bashforth. Numerical simulations are performed by using different values of fractional-variable order ϱ(𠜗) for the model. The respective results are demonstrated by using real data from Saudi Arabia for graphical presentation.

Keywords: ABC Derivative; COVID-19 Model; Fixed Point Theorem; Stability Results; Adams–Bashforth (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X2340042X

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