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- Title
A GENERALIZED FRACTIONAL ORDER MODEL FOR COV-2 WITH VACCINATION EFFECT USING REAL DATA.
- Authors
JEELANI, MOHAMMADI BEGUM; ALNAHDI, ABEER S.; ABDO, MOHAMMED S.; ALMALAHI, MOHAMMED A.; ALHARTHI, NADIYAH HUSSAIN; SHAH, KAMAL
- 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 R 0 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 () for the model. The respective results are demonstrated by using real data from Saudi Arabia for graphical presentation.
- Subjects
SAUDI Arabia; SARS-CoV-2; FRACTIONAL calculus; VACCINATION; NONLINEAR analysis; INFECTIOUS disease transmission; NUMERICAL analysis
- Publication
Fractals, 2023, Vol 31, Issue 4, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X2340042X