Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods

This paper analysed the Rosenweig-MacArthur model. The model simulates interaction between a type of prey and its predator. The aim was to analyses the performance of two famous and accurate method; i.e. Adam-Moultan and fourth order Runge-Kutta methods on the behavior of the Rosenweigh-MacArthur mo...

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Main Authors: Hasan, M.K., Karim, S.A.A., Sulaiman, J.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.26185 /
Published: Institute of Electrical and Electronics Engineers Inc. 2015
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84961730743&doi=10.1109%2fICEEI.2015.7352583&partnerID=40&md5=a0c17d75c3e4046b17869cef91042922
http://eprints.utp.edu.my/26185/
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spelling utp-eprints.261852021-08-30T08:54:07Z Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods Hasan, M.K. Karim, S.A.A. Sulaiman, J. This paper analysed the Rosenweig-MacArthur model. The model simulates interaction between a type of prey and its predator. The aim was to analyses the performance of two famous and accurate method; i.e. Adam-Moultan and fourth order Runge-Kutta methods on the behavior of the Rosenweigh-MacArthur model. We also investigate the impact on eight mesh sizes on both methods. We also examine the effect of various sets of birth and death rate of prey and predators on the logical behaviour of simulated result. Results show that both methods simulate the problem with almost the same accuracy. Both methods have logically simulated the behaviour of prey and predator except for big mesh sizes but in term of computation time the Adam-Moultan method solve all problems faster than the fourth order Runge-Kutta method. © 2015 IEEE. Institute of Electrical and Electronics Engineers Inc. 2015 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84961730743&doi=10.1109%2fICEEI.2015.7352583&partnerID=40&md5=a0c17d75c3e4046b17869cef91042922 Hasan, M.K. and Karim, S.A.A. and Sulaiman, J. (2015) Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods. In: UNSPECIFIED. http://eprints.utp.edu.my/26185/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description This paper analysed the Rosenweig-MacArthur model. The model simulates interaction between a type of prey and its predator. The aim was to analyses the performance of two famous and accurate method; i.e. Adam-Moultan and fourth order Runge-Kutta methods on the behavior of the Rosenweigh-MacArthur model. We also investigate the impact on eight mesh sizes on both methods. We also examine the effect of various sets of birth and death rate of prey and predators on the logical behaviour of simulated result. Results show that both methods simulate the problem with almost the same accuracy. Both methods have logically simulated the behaviour of prey and predator except for big mesh sizes but in term of computation time the Adam-Moultan method solve all problems faster than the fourth order Runge-Kutta method. © 2015 IEEE.
format Conference or Workshop Item
author Hasan, M.K.
Karim, S.A.A.
Sulaiman, J.
spellingShingle Hasan, M.K.
Karim, S.A.A.
Sulaiman, J.
Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods
author_sort Hasan, M.K.
title Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods
title_short Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods
title_full Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods
title_fullStr Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods
title_full_unstemmed Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods
title_sort graphical analysis of rosenzweig-macarthur model via adams-moultan and fourth order runge-kutta methods
publisher Institute of Electrical and Electronics Engineers Inc.
publishDate 2015
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84961730743&doi=10.1109%2fICEEI.2015.7352583&partnerID=40&md5=a0c17d75c3e4046b17869cef91042922
http://eprints.utp.edu.my/26185/
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score 11.62408