New nonlinear model of population growth

The model of population growth is revised in this paper. A new model is proposed based on the concept of fractional differentiation that uses the generalized Mittag-Leffler function as kernel of differentiation. The new model includes the choice of sexuality. The existence of unique solution is inve...

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Detalles Bibliográficos
Autores principales: T. Alkahtani, Badr Saad, Atangana, Abdon, Koca, Ilknur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2017
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5655470/
https://www.ncbi.nlm.nih.gov/pubmed/29065173
http://dx.doi.org/10.1371/journal.pone.0184728
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author T. Alkahtani, Badr Saad
Atangana, Abdon
Koca, Ilknur
author_facet T. Alkahtani, Badr Saad
Atangana, Abdon
Koca, Ilknur
author_sort T. Alkahtani, Badr Saad
collection PubMed
description The model of population growth is revised in this paper. A new model is proposed based on the concept of fractional differentiation that uses the generalized Mittag-Leffler function as kernel of differentiation. The new model includes the choice of sexuality. The existence of unique solution is investigated and numerical solution is provided.
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spelling pubmed-56554702017-11-09 New nonlinear model of population growth T. Alkahtani, Badr Saad Atangana, Abdon Koca, Ilknur PLoS One Research Article The model of population growth is revised in this paper. A new model is proposed based on the concept of fractional differentiation that uses the generalized Mittag-Leffler function as kernel of differentiation. The new model includes the choice of sexuality. The existence of unique solution is investigated and numerical solution is provided. Public Library of Science 2017-10-24 /pmc/articles/PMC5655470/ /pubmed/29065173 http://dx.doi.org/10.1371/journal.pone.0184728 Text en © 2017 T. Alkahtani et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
T. Alkahtani, Badr Saad
Atangana, Abdon
Koca, Ilknur
New nonlinear model of population growth
title New nonlinear model of population growth
title_full New nonlinear model of population growth
title_fullStr New nonlinear model of population growth
title_full_unstemmed New nonlinear model of population growth
title_short New nonlinear model of population growth
title_sort new nonlinear model of population growth
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5655470/
https://www.ncbi.nlm.nih.gov/pubmed/29065173
http://dx.doi.org/10.1371/journal.pone.0184728
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AT atanganaabdon newnonlinearmodelofpopulationgrowth
AT kocailknur newnonlinearmodelofpopulationgrowth

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