The Stability of Solutions for a Fractional Predator-Prey System
We study a class of fractional predator-prey systems with Holling II functional response. A unique positive solution of this system is obtained. In order to prove the asymptotical stability of positive equilibrium for this system, we study the Lyapunov stability theory of a fractional system.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/124145 |
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| _version_ | 1832565241115836416 |
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| author | Yingjia Guo |
| author_facet | Yingjia Guo |
| author_sort | Yingjia Guo |
| collection | DOAJ |
| description | We study a class of fractional predator-prey systems with Holling II functional response. A unique positive solution of this system is obtained. In order to prove the asymptotical stability of positive equilibrium for this system, we study the Lyapunov stability theory of a fractional system. |
| format | Article |
| id | doaj-art-756dec368e134ba980bc5f3daa62b1c9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-756dec368e134ba980bc5f3daa62b1c92025-02-03T01:08:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/124145124145The Stability of Solutions for a Fractional Predator-Prey SystemYingjia Guo0School of Mathematics, Jilin University, Changchun 130012, ChinaWe study a class of fractional predator-prey systems with Holling II functional response. A unique positive solution of this system is obtained. In order to prove the asymptotical stability of positive equilibrium for this system, we study the Lyapunov stability theory of a fractional system.http://dx.doi.org/10.1155/2014/124145 |
| spellingShingle | Yingjia Guo The Stability of Solutions for a Fractional Predator-Prey System Abstract and Applied Analysis |
| title | The Stability of Solutions for a Fractional Predator-Prey System |
| title_full | The Stability of Solutions for a Fractional Predator-Prey System |
| title_fullStr | The Stability of Solutions for a Fractional Predator-Prey System |
| title_full_unstemmed | The Stability of Solutions for a Fractional Predator-Prey System |
| title_short | The Stability of Solutions for a Fractional Predator-Prey System |
| title_sort | stability of solutions for a fractional predator prey system |
| url | http://dx.doi.org/10.1155/2014/124145 |
| work_keys_str_mv | AT yingjiaguo thestabilityofsolutionsforafractionalpredatorpreysystem AT yingjiaguo stabilityofsolutionsforafractionalpredatorpreysystem |