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2024 | OriginalPaper | Chapter

Stochastic Population Growth Model Using Three-Point Fractional Formula

Authors : Shameseddin Alshorm, Iqbal M. Batiha

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

The chapter delves into the intricacies of stochastic population growth models, moving beyond traditional deterministic approaches. It introduces a modified three-point fractional formula to approximate the Riemann-Liouville fractional integral operator, providing a novel numerical solution for fractional stochastic differential equations. The study addresses challenges such as the role of random effects and sex-specific population growth, offering insights into the age distribution and growth rate control. The chapter also validates its proposed numerical method by comparing it with the Euler-Maruyama method and an exact solution, demonstrating its effectiveness and accuracy. This work is particularly relevant in understanding population dynamics, especially in cases where random fluctuations play a significant role.
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previous chapter Fitting Big Data Using Structural Measurement Error Model
next chapter Approximate Solutions of the Fractional Zakharov-Kuznetsov Equation Using Laplace-Residual Power Series Method
Literature
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4.
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Batiha, I.M., Ababneh, O.Y., Al-Nana, A.A., Alshanti, W.G., Alshorm, S., Momani, S.: A numerical implementation of fractional-order PID controllers for autonomous vehicles. Axioms 12(3), 306 (2023)CrossRef
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Batiha, I.M., Alshorm, S., Jebril, I., Zraiqat, A., Momani, Z., Momani, S.: Modified 5-point fractional formula with Richardson extrapolation. AIMS Math 8(4), 9520–9534 (2023)MathSciNetCrossRef
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Metadata
Title
Stochastic Population Growth Model Using Three-Point Fractional Formula
Authors
Shameseddin Alshorm
Iqbal M. Batiha
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Mathematical Analysis and Numerical Methods

Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-4876-1_31

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