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Article 2023 · 9 citations

Numerical simulation of Covid-19 model with integer and non-integer order: The effect of environment and social distancing

Arik, Irem Akbulut, Sari, Hatice Kuebra, Araz, Seda Igret

Abstract

We consider an epidemiological model that takes into account pathogens in the environment and social distancing. Such model with six classes has been updated with fractional differential operators and piecewise differential operators. Equilibrium points and reproductive number for the model have been obtained using next generation approach. Necessary optimality conditions for the model modified by addition of some control variables have been presented. For the numerical solution of the model, a numerical method based on Newton polynomial has been considered. The graphical representations for the model with fractional and piecewise derivatives have been presented to better understand the dynamic of model incorporating environment and social distancing.

Keywords
Covid-19 Fractional differentiation and integration Optimal control Numerical scheme
WoS Categories
Materials Science, Multidisciplinary Physics, Multidisciplinary
Sustainable Development Goals
Citation
Journal
RESULTS IN PHYSICS
Year
2023
Volume
51
ISSN
2211-3797
DOI
10.1016/j.rinp.2023.106725
WoS UID
WOS:001046868500001
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