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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...

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Detalles Bibliográficos
Autores principales: Narayanamoorthy, Samayan, Baleanu, Dumitru, Thangapandi, Kalidas, Perera, Shyam Sanjeewa Nishantha
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Institution of Engineering and Technology 2019
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.
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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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