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.
Digital Object Identifier (DOI)
Awadalla, Muath; Yannick Yameni Noupoue, Yves; and Abuasbeh, Kinda
"Population Growth Modeling via Rayleigh-Caputo Fractional Derivative,"
Journal of Statistics Applications & Probability: Vol. 10
, Article 2.
Available at: https://dc.naturalspublishing.com/jsap/vol10/iss1/2