A study on four-species fractional population competition dynamical model

A study on four-species fractional population competition dynamical model

In this experiment, by Liouville-Caputo, CF and AB operators, we present a competition population model consisting of one prey and three predators to investigate various field observations. A system of four-dimensional coupled differential equations is the competition population dynamic model. This...

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Main Authors: Sunil Kumar, Ajay Kumar, Abdel-Haleem Abdel-Aty, M.R. Alharthi
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Results in Physics
Subjects:
Fractional order model
Dynamical behaviour
Liouville-Caputo derivative
CF derivative
AB derivative
New numerical scheme
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379721002473
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spelling doaj-d84f2c69a8914da2829411714b2edd362021-05-06T04:23:29ZengElsevierResults in Physics2211-37972021-05-0124104089A study on four-species fractional population competition dynamical modelSunil Kumar0Ajay Kumar1Abdel-Haleem Abdel-Aty2M.R. Alharthi3Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India; Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates; Corresponding author at: Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India.Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, IndiaDepartment of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia; Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaIn this experiment, by Liouville-Caputo, CF and AB operators, we present a competition population model consisting of one prey and three predators to investigate various field observations. A system of four-dimensional coupled differential equations is the competition population dynamic model. This study further evaluates the probability of achieving new chaotic behaviors with discrete and non-singular arbitrary operators and explains the chaotic behavior at diverse fractional order values. This population model is also investigated by the computational method of Atangana-Seda, which is based on the Newton polynomial and we find out the error analysis of the proposed numerical scheme. Again, certain numerical calculations are conducted to obtain insight to the newly proposed method’s efficacy. Any attractive illustrations are graphically displayed.http://www.sciencedirect.com/science/article/pii/S2211379721002473Fractional order modelDynamical behaviourLiouville-Caputo derivativeCF derivativeAB derivativeNew numerical scheme
collection DOAJ
language English
format Article
sources DOAJ
author Sunil Kumar
Ajay Kumar
Abdel-Haleem Abdel-Aty
M.R. Alharthi
spellingShingle Sunil Kumar
Ajay Kumar
Abdel-Haleem Abdel-Aty
M.R. Alharthi
A study on four-species fractional population competition dynamical model
Results in Physics
Fractional order model
Dynamical behaviour
Liouville-Caputo derivative
CF derivative
AB derivative
New numerical scheme
author_facet Sunil Kumar
Ajay Kumar
Abdel-Haleem Abdel-Aty
M.R. Alharthi
author_sort Sunil Kumar
title A study on four-species fractional population competition dynamical model
title_short A study on four-species fractional population competition dynamical model
title_full A study on four-species fractional population competition dynamical model
title_fullStr A study on four-species fractional population competition dynamical model
title_full_unstemmed A study on four-species fractional population competition dynamical model
title_sort study on four-species fractional population competition dynamical model
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-05-01
description In this experiment, by Liouville-Caputo, CF and AB operators, we present a competition population model consisting of one prey and three predators to investigate various field observations. A system of four-dimensional coupled differential equations is the competition population dynamic model. This study further evaluates the probability of achieving new chaotic behaviors with discrete and non-singular arbitrary operators and explains the chaotic behavior at diverse fractional order values. This population model is also investigated by the computational method of Atangana-Seda, which is based on the Newton polynomial and we find out the error analysis of the proposed numerical scheme. Again, certain numerical calculations are conducted to obtain insight to the newly proposed method’s efficacy. Any attractive illustrations are graphically displayed.
topic Fractional order model
Dynamical behaviour
Liouville-Caputo derivative
CF derivative
AB derivative
New numerical scheme
url http://www.sciencedirect.com/science/article/pii/S2211379721002473
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