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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vinca Inst Nuclear Sci
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81503/ http://psasir.upm.edu.my/id/eprint/81503/1/LINEAR.pdf |
| _version_ | 1848859119756247040 |
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| author | Singh, Jagdev Kilicman, Adem Kumar, Devendra Swroop, Ram Md Ali, Fadzilah |
| author_facet | Singh, Jagdev Kilicman, Adem Kumar, Devendra Swroop, Ram Md Ali, Fadzilah |
| author_sort | Singh, Jagdev |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T12:24:17Z |
| format | Article |
| id | upm-81503 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:24:17Z |
| publishDate | 2019 |
| publisher | Vinca Inst Nuclear Sci |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-815032021-06-12T16:15:34Z http://psasir.upm.edu.my/id/eprint/81503/ Numerical study for fractional model of non-linear predator-prey biological population dynamical system Singh, Jagdev Kilicman, Adem Kumar, Devendra Swroop, Ram Md Ali, Fadzilah 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. Vinca Inst Nuclear Sci 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81503/1/LINEAR.pdf 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 http://www.doiserbia.nb.rs/Article.aspx?id=0354-98361900366S#.YMTbkfkzZPY 10.2298/TSCI190725366S |
| spellingShingle | Singh, Jagdev Kilicman, Adem Kumar, Devendra Swroop, Ram Md Ali, Fadzilah Numerical study for fractional model of non-linear predator-prey biological population dynamical system |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/81503/ http://psasir.upm.edu.my/id/eprint/81503/ http://psasir.upm.edu.my/id/eprint/81503/ http://psasir.upm.edu.my/id/eprint/81503/1/LINEAR.pdf |