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Saudi Arabia


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.

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