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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/190475 |
| _version_ | 1818750042087882752 |
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| author | Xin Baogui Liu Yanqin |
| author_facet | Xin Baogui Liu Yanqin |
| author_sort | Xin Baogui |
| collection | DOAJ |
| 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> |
| first_indexed | 2024-12-18T04:13:23Z |
| format | Article |
| id | doaj.art-5b0b9f0a92d44e87843adc8d3727e346 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-18T04:13:23Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-5b0b9f0a92d44e87843adc8d3727e3462022-12-21T21:21:25ZengSpringerOpenAdvances 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 |
| spellingShingle | Xin Baogui Liu Yanqin Numerical Solutions of a Fractional Predator-Prey System Advances in Difference Equations |
| title | 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_short | Numerical Solutions of a Fractional Predator-Prey System |
| title_sort | numerical solutions of a fractional predator prey system |
| url | http://www.advancesindifferenceequations.com/content/2011/190475 |
| work_keys_str_mv | AT xinbaogui numericalsolutionsofafractionalpredatorpreysystem AT liuyanqin numericalsolutionsofafractionalpredatorpreysystem |