Numerical study for fractional model of non-linear predator-prey biological population dynamical system
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 o...
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VINCA Institute of Nuclear Sciences
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doaj-fa865a18746845f6bcb62534aaf956422021-01-02T07:48:30ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362019-01-0123Suppl. 62017202510.2298/TSCI190725366S0354-98361900366SNumerical study for fractional model of non-linear predator-prey biological population dynamical systemSingh Jagdev0Kilicman Adem1Kumar Devendra2Swroop Ram3Ali Fadzilah Md.4Department of Mathematics, JECRC University, Jaipur-, Rajasthan, IndiaDepartment of Mathematics and Institute for Mathematical Research University Putra Malaysia, UPM, Serdang, Selangor, MalaysiaDepartment of Mathematics, University of Rajasthan, Jaipur, Rajasthan, IndiaDepartment of Mathematics, Arya Institute of Engineering & Technology, RiicoKukas, Jaipur, Rajasthan, IndiaDepartment of Mathematics and Institute for Mathematical Research University Putra Malaysia, UPM, Serdang, Selangor, MalaysiaThe 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900366S.pdfhomotopy analysis transform techniquebiological systemsfractional nonlinear predator-prey population model |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Singh Jagdev Kilicman Adem Kumar Devendra Swroop Ram Ali Fadzilah Md. |
spellingShingle |
Singh Jagdev Kilicman Adem Kumar Devendra Swroop Ram Ali Fadzilah Md. Numerical study for fractional model of non-linear predator-prey biological population dynamical system Thermal Science homotopy analysis transform technique biological systems fractional nonlinear predator-prey population model |
author_facet |
Singh Jagdev Kilicman Adem Kumar Devendra Swroop Ram Ali Fadzilah Md. |
author_sort |
Singh Jagdev |
title |
Numerical study for fractional model of non-linear predator-prey biological population dynamical system |
title_short |
Numerical study for fractional model of non-linear predator-prey biological population dynamical system |
title_full |
Numerical study for fractional model of non-linear predator-prey biological population dynamical system |
title_fullStr |
Numerical study for fractional model of non-linear predator-prey biological population dynamical system |
title_full_unstemmed |
Numerical study for fractional model of non-linear predator-prey biological population dynamical system |
title_sort |
numerical study for fractional model of non-linear predator-prey biological population dynamical system |
publisher |
VINCA Institute of Nuclear Sciences |
series |
Thermal Science |
issn |
0354-9836 |
publishDate |
2019-01-01 |
description |
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. |
topic |
homotopy analysis transform technique biological systems fractional nonlinear predator-prey population model |
url |
http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900366S.pdf |
work_keys_str_mv |
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