Fractal–fractional age-structure study of omicron SARS-CoV-2 variant transmission dynamics

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Date
2022-09
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Elsevier
Abstract
This paper proposes a new fractal–fractional age-structure model for the omicron SARS-CoV-2 variant under the Caputo–Fabrizio fractional order derivative. Caputo–Fabrizio fractal–fractional order is particularly successful in modelling real-world phenomena due to its repeated memory effect and ability to capture the exponentially decreasing impact of disease transmission dynamics. We consider two age groups, the first of which has a population under 50 and the second of a population beyond 50. Our results show that at a population dynamics level, there is a high infection and recovery of omicron SARS-CoV-2 variant infection among the population under 50 (Group-1), while a high infection rate and low recovery of omicron SARS-CoV-2 variant infection among the population beyond 50 (Group-2) when the fractal–fractional order is varied.
Description
This article is published by Elsevier 2022 and is also available at https://doi.org/10.1016/j.padiff.2022.100455
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Partial Differential Equations in Applied Mathematics 6 (2022) 100455
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