ArticleChaos, solitons, and fractals2021
Fractal-fractional order mathematical vaccine model of COVID-19 under non-singular kernel.
Article in Chaos, solitons, and fractals, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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7 citing papers in PubMed.
- Mathematical modeling and optimal control analysis of lumpy skin disease in domestic cattle.Scientific reports · 2025Article
- On generalized fractal-fractional derivative and integral operators associated with generalized Mittag-Leffler function.Heliyon · 2025Article
- Article
- A fractional-order mathematical model based on vaccinated and infected compartments of SARS-CoV-2 with a real case study during the last stages of the epidemiological event.Journal of computational and applied mathematics · 2023Article
- Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination.Acta biotheoretica · 2023Article
- Chaotic dynamics in a novel COVID-19 pandemic model described by commensurate and incommensurate fractional-order derivatives.Nonlinear dynamics · 2022Review
- Mathematical COVID-19 model with vaccination: a case study in Saudi Arabia.PeerJ. Computer science · 2022Article
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2 authors.
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Abstract
In this paper, the severe acute respiratory syndrome coronavirus (SARS-CoV-2) or COVID-19 is researched by employing mathematical analysis under modern calculus. In this context, the dynamical behavior of an arbitrary order p and fractal dimensional q problem of COVID-19 under Atangana Bleanu Capute (ABC) operator for the three cities, namely, Santos, Campinas, and Sao Paulo of Brazil are investigated as a case-study. The considered problem is analyzed for at least one solution and unique solution by the applications of the theorems of fixed point and non-linear functional analysis. The Ulam-Hyres stability condition via nonlinear functional analysis for the given system is derived. In order to perform the numerical simulation, a two-step fractional type, Lagrange plynomial (Adams Bashforth technique) is utilized for the present system. MATLAB simulation tools have been used for testing different fractal fractional orders considering the data of aforementioned three regions. The analysis of the results finally infer that, for all these three regions, the smaller order values provide better constraints than the larger order values.
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