FAST AND ACCURATE POPULATION FORECASTING WITH TWO-SCALE FRACTAL POPULATION DYNAMICS AND ITS APPLICATION TO POPULATION ECONOMICS

Yarong Zhang, Naveed Anjum, Dan Tian and Abdulrahman Ali Alsolami
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Yarong Zhang: School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China
Naveed Anjum: ��Department of Mathematics, Government College University, Faisalabad, Pakistan
Dan Tian: School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China
Abdulrahman Ali Alsolami: ��Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

FRACTALS (fractals), 2024, vol. 32, issue 05, 1-7

Abstract: One of the major challenges in population economics is accurately predicting population size. Incorrect predictions can lead to ineffective population control policies. Traditional differential models assume a smooth change in population, but this assumption is invalid when measuring population on a small-time scale. To address this change, we developed two-scale fractal population dynamics that can accurately predict population size with minimal experimental data. The Taylor series method is used to reveal the population’s dynamical properties, and the Padé technology is adopted to accelerate the convergence rate.

Keywords: Two-Scale Economics; Volterra’s Population Growth Model; Malthusian Growth Model; Logistic Model; Two-Scale Mathematics; Padé Approximation (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500828

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