Mathematical model and interpretation of crowding effects on SARS-CoV-2 using Atangana-Baleanu fractional operator

Pandey, Rupakshi Mishra; Chandola, Ankita; Agarwal, Rekha

doi:10.1016/b978-0-323-99888-8.00009-7

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“…Pandey et al. [52] proposed a non-integer order mathematical model capturing the crowding effects of SARS-CoV-2 virus under Atangana-Baleanu fractional derivative operator. The authors further explored the existence and uniqueness of their theoretical results using a fixed-point method.…”

Section: Introductionmentioning

confidence: 99%

A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks

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Decision Analytics Journal

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Section: Introductionmentioning

confidence: 99%

A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks

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Exploring the Landscape of Fractional-Order Models in Epidemiology: A Comparative Simulation Study

Agarwal,

Airan,

Agarwal

2024

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Mathematical models play a crucial role in evaluating real-life processes qualitatively and quantitatively. They have been extensively employed to study the spread of diseases such as hepatitis B, COVID-19, influenza, and other epidemics. Many researchers have discussed various types of epidemiological models, including deterministic, stochastic, and fractional order models, for this purpose. This article presents a comprehensive review and comparative study of the transmission dynamics of fractional order in epidemiological modeling. A significant portion of the paper is dedicated to the graphical simulation of these models, providing a visual representation of their behavior and characteristics. The article further embarks on a comparative analysis of fractional-order models with their integer-order counterparts. This comparison sheds light on the nuances and subtleties that differentiate these models, thereby offering valuable insights into their respective strengths and limitations. The paper also explores time delay models, non-linear incidence rate models, and stochastic models, explaining their use and significance in epidemiology. It includes studies and models that focus on the transmission dynamics of diseases using fractional order models, as well as comparisons with integer-order models. The findings from this study contribute to the broader understanding of epidemiological modeling, paving the way for more accurate and effective strategies in disease control and prevention.

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Mathematical model and interpretation of crowding effects on SARS-CoV-2 using Atangana-Baleanu fractional operator

Cited by 2 publications

References 30 publications

A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks

A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks

Exploring the Landscape of Fractional-Order Models in Epidemiology: A Comparative Simulation Study

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