Population Growth Modeling via Rayleigh-Caputo Fractional Derivative

Authors

Muath Awadalla, Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf, Al Ahsa, 31982, Saudi ArabiaFollow
Yves Yannick Yameni Noupoue
Kinda Abuasbeh

Author Country (or Countries)

Saudi Arabia

Abstract

This article is concerned with the prediction of population growth using the logistic growth model in the case when the carrying capacity K for the population tends to infinity. A new fractional approach is introduced based on so what called “Rayleigh distribution”. This approach produces a minimal error in estimation compared to the logistic growth model. In this paper, it is shown that the classical logistic model is not appropriate when the carrying capacity K tends to infinity, like for the Indian or Chinese population for instance. A fractional model that would be appropriate in such a case is proposed.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100102

Recommended Citation

Awadalla, Muath; Yannick Yameni Noupoue, Yves; and Abuasbeh, Kinda (2021) "Population Growth Modeling via Rayleigh-Caputo Fractional Derivative," Journal of Statistics Applications & Probability: Vol. 10: Iss. 1, Article 2.
DOI: http://dx.doi.org/10.18576/jsap/100102
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss1/2