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Numerical study for fractional model of non-linear predator-prey biological population dynamical system


Citation

Singh, Jagdev and Kilicman, Adem and Kumar, Devendra and Swroop, Ram and Md Ali, Fadzilah (2019) Numerical study for fractional model of non-linear predator-prey biological population dynamical system. Thermal Science, 23 (suppl. 6). pp. 2017-2025. ISSN 0354-9836

Abstract

The key objective of the present paper is to propose a numerical scheme based on the homotopy analysis transform technique to analyze a time-fractional non-linear predator-prey population model. The population model are coupled fractional order non-linear PDE often employed to narrate the dynamics of biological systems in which two species interact, first is a predator and the second is a prey. The proposed scheme provides the series solution with a great freedom and flexibility by choosing appropriate parameters. The convergence of the results is free from small or large parameters. Three examples are discussed to demonstrate the correctness and efficiency of the used computational approach.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.2298/TSCI190725366S
Publisher: Vinca Inst Nuclear Sci
Keywords: Homotopy analysis transform technique; Biological systems; Fractional non-linear predator-prey population model
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 12 Jun 2021 16:15
Last Modified: 12 Jun 2021 16:15
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.2298/TSCI190725366S
URI: http://psasir.upm.edu.my/id/eprint/81503
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