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Analysis for fractional‐order predator–prey model with uncertainty
Here, the authors analyse the fractional‐order predator–prey model with uncertainty, due to the vast applications in various ecological systems. The most of the ecological model do not have exact analytic solution, so they proposed a numerical technique for an approximate solution. In the proposed m...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Institution of Engineering and Technology
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8687390/ https://www.ncbi.nlm.nih.gov/pubmed/31778124 http://dx.doi.org/10.1049/iet-syb.2019.0055 |
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author | Narayanamoorthy, Samayan Baleanu, Dumitru Thangapandi, Kalidas Perera, Shyam Sanjeewa Nishantha |
author_facet | Narayanamoorthy, Samayan Baleanu, Dumitru Thangapandi, Kalidas Perera, Shyam Sanjeewa Nishantha |
author_sort | Narayanamoorthy, Samayan |
collection | PubMed |
description | Here, the authors analyse the fractional‐order predator–prey model with uncertainty, due to the vast applications in various ecological systems. The most of the ecological model do not have exact analytic solution, so they proposed a numerical technique for an approximate solution. In the proposed method, they have implemented the higher order term into the fractional Euler method to enhance the precise solution. Further, the present attempt is aimed to discuss the solutions of the FPPM with uncertainty (fuzzy) initial conditions. The initial conditions of the predator–prey model were taken as fuzzy initial conditions due to the fact that the ecological model highly depends on uncertain parameters such as growth/decay rate, climatic conditions, and chemical reactions. Finally, the numerical example manifest that the proposed method is authentic, applicable, easy to use from a computational viewpoint and the acquired outcomes are balanced with the existing method (HPM), which shows the efficiency of the proposed method. |
format | Online Article Text |
id | pubmed-8687390 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | The Institution of Engineering and Technology |
record_format | MEDLINE/PubMed |
spelling | pubmed-86873902022-02-16 Analysis for fractional‐order predator–prey model with uncertainty Narayanamoorthy, Samayan Baleanu, Dumitru Thangapandi, Kalidas Perera, Shyam Sanjeewa Nishantha IET Syst Biol Research Article Here, the authors analyse the fractional‐order predator–prey model with uncertainty, due to the vast applications in various ecological systems. The most of the ecological model do not have exact analytic solution, so they proposed a numerical technique for an approximate solution. In the proposed method, they have implemented the higher order term into the fractional Euler method to enhance the precise solution. Further, the present attempt is aimed to discuss the solutions of the FPPM with uncertainty (fuzzy) initial conditions. The initial conditions of the predator–prey model were taken as fuzzy initial conditions due to the fact that the ecological model highly depends on uncertain parameters such as growth/decay rate, climatic conditions, and chemical reactions. Finally, the numerical example manifest that the proposed method is authentic, applicable, easy to use from a computational viewpoint and the acquired outcomes are balanced with the existing method (HPM), which shows the efficiency of the proposed method. The Institution of Engineering and Technology 2019-10-04 /pmc/articles/PMC8687390/ /pubmed/31778124 http://dx.doi.org/10.1049/iet-syb.2019.0055 Text en © 2020 The Institution of Engineering and Technology https://creativecommons.org/licenses/by/3.0/This is an open access article published by the IET under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/ (https://creativecommons.org/licenses/by/3.0/) ) |
spellingShingle | Research Article Narayanamoorthy, Samayan Baleanu, Dumitru Thangapandi, Kalidas Perera, Shyam Sanjeewa Nishantha Analysis for fractional‐order predator–prey model with uncertainty |
title | Analysis for fractional‐order predator–prey model with uncertainty |
title_full | Analysis for fractional‐order predator–prey model with uncertainty |
title_fullStr | Analysis for fractional‐order predator–prey model with uncertainty |
title_full_unstemmed | Analysis for fractional‐order predator–prey model with uncertainty |
title_short | Analysis for fractional‐order predator–prey model with uncertainty |
title_sort | analysis for fractional‐order predator–prey model with uncertainty |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8687390/ https://www.ncbi.nlm.nih.gov/pubmed/31778124 http://dx.doi.org/10.1049/iet-syb.2019.0055 |
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