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

YARONG ZHANG

https://orcid.org/0000-0002-4735-7328

School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China

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NAVEED ANJUM

https://orcid.org/0000-0001-7810-7877

Department of Mathematics, Government College University, Faisalabad, Pakistan

E-mail Address: xsnaveed@yahoo.com

Corresponding author.

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DAN TIAN

School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China

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, and

ABDULRAHMAN ALI ALSOLAMI

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

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https://doi.org/10.1142/S0218348X24500828Cited by:6 (Source: Crossref)

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:

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