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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:
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
Descripción
Sumario: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.