Global Stability for a Predator-Prey Model with Dispersal among Patches
We investigate a predator-prey model with dispersal for both predator and prey among n patches; our main purpose is to extend the global stability criteria by Li and Shuai (2010) on a predator-prey model with dispersal for prey among n patches. By using the method of constructing Lyapunov functions...
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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/10.1155/2014/176493 |
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| _version_ | 1832549049546309632 |
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| author | Yang Gao Shengqiang Liu |
| author_facet | Yang Gao Shengqiang Liu |
| author_sort | Yang Gao |
| collection | DOAJ |
| description | We investigate a predator-prey model with dispersal for both predator and prey among n patches; our main purpose is to extend the global stability criteria by Li and Shuai (2010) on a predator-prey model with dispersal for prey among n patches. By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive coexistence equilibrium of this model is unique and globally asymptotically stable if it exists. |
| format | Article |
| id | doaj-art-98543ba06d764f0aa3894039748f24b6 |
| 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-98543ba06d764f0aa3894039748f24b62025-02-03T06:12:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/176493176493Global Stability for a Predator-Prey Model with Dispersal among PatchesYang Gao0Shengqiang Liu1Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, Harbin 150080, ChinaAcademy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, Harbin 150080, ChinaWe investigate a predator-prey model with dispersal for both predator and prey among n patches; our main purpose is to extend the global stability criteria by Li and Shuai (2010) on a predator-prey model with dispersal for prey among n patches. By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive coexistence equilibrium of this model is unique and globally asymptotically stable if it exists.http://dx.doi.org/10.1155/2014/176493 |
| spellingShingle | Yang Gao Shengqiang Liu Global Stability for a Predator-Prey Model with Dispersal among Patches Abstract and Applied Analysis |
| title | Global Stability for a Predator-Prey Model with Dispersal among Patches |
| title_full | Global Stability for a Predator-Prey Model with Dispersal among Patches |
| title_fullStr | Global Stability for a Predator-Prey Model with Dispersal among Patches |
| title_full_unstemmed | Global Stability for a Predator-Prey Model with Dispersal among Patches |
| title_short | Global Stability for a Predator-Prey Model with Dispersal among Patches |
| title_sort | global stability for a predator prey model with dispersal among patches |
| url | http://dx.doi.org/10.1155/2014/176493 |
| work_keys_str_mv | AT yanggao globalstabilityforapredatorpreymodelwithdispersalamongpatches AT shengqiangliu globalstabilityforapredatorpreymodelwithdispersalamongpatches |