New nonlinear model of population growth

Badr Saad T Alkahtani; Abdon Atangana; Ilknur Koca

doi:10.1371/journal.pone.0184728

New nonlinear model of population growth

PLoS One. 2017 Oct 24;12(10):e0184728. doi: 10.1371/journal.pone.0184728. eCollection 2017.

Authors

Badr Saad T Alkahtani¹, Abdon Atangana², Ilknur Koca³

Affiliations

¹ Department of Mathematical, Colle of Science, King Saud University, P.O.Box 1142, Riyadh, 11989, Saudi Arabia.
² Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences University of the Free State, Bloemfontein 9300, South Africa.
³ Department of Mathematics, Faculty of Sciences, Mehmet Akif Ersoy University, 15100, Burdur, Turkey.

Abstract

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.

MeSH terms

Animals
Female
Humans
Male
Models, Theoretical*
Population Growth*
Sexuality

Grants and funding

The authors extend their sincere appreciations to the Deanship of Science Research at King Saud University for funding this prolific research group PRG-1437-35.