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Fractional dynamic system simulating the growth of microbe
There are different approaches that indicate the dynamic of the growth of microbe. In this research, we simulate the growth by utilizing the concept of fractional calculus. We investigate a fractional system of integro-differential equations, which covers the subtleties of the diffusion between infe...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8319597/ https://www.ncbi.nlm.nih.gov/pubmed/34341660 http://dx.doi.org/10.1186/s13662-021-03498-3 |
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author | Hadid, Samir B. Ibrahim, Rabha W. |
author_facet | Hadid, Samir B. Ibrahim, Rabha W. |
author_sort | Hadid, Samir B. |
collection | PubMed |
description | There are different approaches that indicate the dynamic of the growth of microbe. In this research, we simulate the growth by utilizing the concept of fractional calculus. We investigate a fractional system of integro-differential equations, which covers the subtleties of the diffusion between infected and asymptomatic cases. The suggested system is applicable to distinguish the presentation of growth level of the infection and to approve if its mechanism is positively active. An optimal solution under simulation mapping assets is considered. The estimated numerical solution is indicated by employing the fractional Tutte polynomials. Our methodology is based on the Atangana–Baleanu calculus (ABC). We assess the recommended system by utilizing real data. |
format | Online Article Text |
id | pubmed-8319597 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-83195972021-07-29 Fractional dynamic system simulating the growth of microbe Hadid, Samir B. Ibrahim, Rabha W. Adv Differ Equ Research There are different approaches that indicate the dynamic of the growth of microbe. In this research, we simulate the growth by utilizing the concept of fractional calculus. We investigate a fractional system of integro-differential equations, which covers the subtleties of the diffusion between infected and asymptomatic cases. The suggested system is applicable to distinguish the presentation of growth level of the infection and to approve if its mechanism is positively active. An optimal solution under simulation mapping assets is considered. The estimated numerical solution is indicated by employing the fractional Tutte polynomials. Our methodology is based on the Atangana–Baleanu calculus (ABC). We assess the recommended system by utilizing real data. Springer International Publishing 2021-07-29 2021 /pmc/articles/PMC8319597/ /pubmed/34341660 http://dx.doi.org/10.1186/s13662-021-03498-3 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Research Hadid, Samir B. Ibrahim, Rabha W. Fractional dynamic system simulating the growth of microbe |
title | Fractional dynamic system simulating the growth of microbe |
title_full | Fractional dynamic system simulating the growth of microbe |
title_fullStr | Fractional dynamic system simulating the growth of microbe |
title_full_unstemmed | Fractional dynamic system simulating the growth of microbe |
title_short | Fractional dynamic system simulating the growth of microbe |
title_sort | fractional dynamic system simulating the growth of microbe |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8319597/ https://www.ncbi.nlm.nih.gov/pubmed/34341660 http://dx.doi.org/10.1186/s13662-021-03498-3 |
work_keys_str_mv | AT hadidsamirb fractionaldynamicsystemsimulatingthegrowthofmicrobe AT ibrahimrabhaw fractionaldynamicsystemsimulatingthegrowthofmicrobe |