Global Stability for a Three-Species Food Chain Model in a Patchy Environment
We investigate a three-species food chain model in a patchy environment where prey species, mid-level predator species, and top predator species can disperse among n different patches (n≥2). By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled system...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/314729 |
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| _version_ | 1832545949534126080 |
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| author | Hongli Li Yaolin Jiang Long Zhang Zhidong Teng |
| author_facet | Hongli Li Yaolin Jiang Long Zhang Zhidong Teng |
| author_sort | Hongli Li |
| collection | DOAJ |
| description | We investigate a three-species food chain model in a patchy environment where prey species, mid-level predator species, and top predator species can disperse among n different patches (n≥2). By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive equilibrium of this model is unique and globally asymptotically stable if it exists. |
| format | Article |
| id | doaj-art-c836e709e1d3400591fbdfd0a629dbcd |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c836e709e1d3400591fbdfd0a629dbcd2025-02-03T07:24:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/314729314729Global Stability for a Three-Species Food Chain Model in a Patchy EnvironmentHongli Li0Yaolin Jiang1Long Zhang2Zhidong Teng3College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaWe investigate a three-species food chain model in a patchy environment where prey species, mid-level predator species, and top predator species can disperse among n different patches (n≥2). By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive equilibrium of this model is unique and globally asymptotically stable if it exists.http://dx.doi.org/10.1155/2014/314729 |
| spellingShingle | Hongli Li Yaolin Jiang Long Zhang Zhidong Teng Global Stability for a Three-Species Food Chain Model in a Patchy Environment Journal of Applied Mathematics |
| title | Global Stability for a Three-Species Food Chain Model in a Patchy Environment |
| title_full | Global Stability for a Three-Species Food Chain Model in a Patchy Environment |
| title_fullStr | Global Stability for a Three-Species Food Chain Model in a Patchy Environment |
| title_full_unstemmed | Global Stability for a Three-Species Food Chain Model in a Patchy Environment |
| title_short | Global Stability for a Three-Species Food Chain Model in a Patchy Environment |
| title_sort | global stability for a three species food chain model in a patchy environment |
| url | http://dx.doi.org/10.1155/2014/314729 |
| work_keys_str_mv | AT honglili globalstabilityforathreespeciesfoodchainmodelinapatchyenvironment AT yaolinjiang globalstabilityforathreespeciesfoodchainmodelinapatchyenvironment AT longzhang globalstabilityforathreespeciesfoodchainmodelinapatchyenvironment AT zhidongteng globalstabilityforathreespeciesfoodchainmodelinapatchyenvironment |