Numerical Solutions of a Fractional Predator-Prey System

Numerical Solutions of a Fractional Predator-Prey System

<p/> <p>We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics system. Numerical solutions are given, and some properties exhibit biologica...

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Main Authors: Xin Baogui, Liu Yanqin
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2011/190475
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spelling doaj-5b0b9f0a92d44e87843adc8d3727e3462020-11-24T20:48:14ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111190475Numerical Solutions of a Fractional Predator-Prey SystemXin BaoguiLiu Yanqin<p/> <p>We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics system. Numerical solutions are given, and some properties exhibit biologically reasonable dependence on the parameter values. And the fractional derivatives are described in the Caputo sense.</p> http://www.advancesindifferenceequations.com/content/2011/190475
collection DOAJ
language English
format Article
sources DOAJ
author Xin Baogui
Liu Yanqin
spellingShingle Xin Baogui
Liu Yanqin
Numerical Solutions of a Fractional Predator-Prey System
Advances in Difference Equations
author_facet Xin Baogui
Liu Yanqin
author_sort Xin Baogui
title Numerical Solutions of a Fractional Predator-Prey System
title_short Numerical Solutions of a Fractional Predator-Prey System
title_full Numerical Solutions of a Fractional Predator-Prey System
title_fullStr Numerical Solutions of a Fractional Predator-Prey System
title_full_unstemmed Numerical Solutions of a Fractional Predator-Prey System
title_sort numerical solutions of a fractional predator-prey system
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2011-01-01
description <p/> <p>We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics system. Numerical solutions are given, and some properties exhibit biologically reasonable dependence on the parameter values. And the fractional derivatives are described in the Caputo sense.</p>
url http://www.advancesindifferenceequations.com/content/2011/190475
work_keys_str_mv AT xinbaogui numericalsolutionsofafractionalpredatorpreysystem
AT liuyanqin numericalsolutionsofafractionalpredatorpreysystem
_version_ 1716808478350114816

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