Application of homotopy-perturbation method to nonlinear population dynamics models

In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solutions of nonlinear population dynamics models. The nonlinear models considered are the multispecies Lotka–Volterra equations. The accuracy of this method is examined by comparison with the available e...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Abdulaziz, O.
Format: Article
Language:English
Published: Elsevier 2007
Subjects:
Online Access:http://irep.iium.edu.my/6641/
http://irep.iium.edu.my/6641/1/Application_of_homotopy-perturbation_method_to_nonlinear_population_dynamics_models.pdf
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author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Abdulaziz, O.
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Abdulaziz, O.
author_sort Chowdhury, Md. Sazzad Hossien
building IIUM Repository
collection Online Access
description In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solutions of nonlinear population dynamics models. The nonlinear models considered are the multispecies Lotka–Volterra equations. The accuracy of this method is examined by comparison with the available exact and the fourth-order Runge–Kutta method (RK4).
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institution International Islamic University Malaysia
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language English
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publishDate 2007
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spelling iium-66412011-12-02T08:00:51Z http://irep.iium.edu.my/6641/ Application of homotopy-perturbation method to nonlinear population dynamics models Chowdhury, Md. Sazzad Hossien Hashim, Ishak Abdulaziz, O. QA Mathematics QA76 Computer software In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solutions of nonlinear population dynamics models. The nonlinear models considered are the multispecies Lotka–Volterra equations. The accuracy of this method is examined by comparison with the available exact and the fourth-order Runge–Kutta method (RK4). Elsevier 2007 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6641/1/Application_of_homotopy-perturbation_method_to_nonlinear_population_dynamics_models.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Abdulaziz, O. (2007) Application of homotopy-perturbation method to nonlinear population dynamics models. Physics Letters A, 368. pp. 251-258. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/
spellingShingle QA Mathematics
QA76 Computer software
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Abdulaziz, O.
Application of homotopy-perturbation method to nonlinear population dynamics models
title Application of homotopy-perturbation method to nonlinear population dynamics models
title_full Application of homotopy-perturbation method to nonlinear population dynamics models
title_fullStr Application of homotopy-perturbation method to nonlinear population dynamics models
title_full_unstemmed Application of homotopy-perturbation method to nonlinear population dynamics models
title_short Application of homotopy-perturbation method to nonlinear population dynamics models
title_sort application of homotopy-perturbation method to nonlinear population dynamics models
topic QA Mathematics
QA76 Computer software
url http://irep.iium.edu.my/6641/
http://irep.iium.edu.my/6641/
http://irep.iium.edu.my/6641/1/Application_of_homotopy-perturbation_method_to_nonlinear_population_dynamics_models.pdf