Global Stability of a Discrete Mutualism Model
A discrete mutualism model is studied in this paper. By using the linear approximation method, the local stability of the interior equilibrium of the system is investigated. By using the iterative method and the comparison principle of difference equations, sufficient conditions which ensure the glo...
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| Main Authors: | , , |
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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/10.1155/2014/709124 |
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| _version_ | 1832545331233947648 |
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| author | Kun Yang Xiangdong Xie Fengde Chen |
| author_facet | Kun Yang Xiangdong Xie Fengde Chen |
| author_sort | Kun Yang |
| collection | DOAJ |
| description | A discrete mutualism model is studied in this paper. By using the linear
approximation method, the local stability of the interior equilibrium of the system
is investigated. By using the iterative method and the comparison principle of
difference equations, sufficient conditions which ensure the global asymptotical stability of the interior equilibrium of the system are obtained. The conditions which ensure the local stability of the positive equilibrium is enough to ensure the global attractivity are proved. |
| format | Article |
| id | doaj-art-c42c65c77ee24996a3adc474d734257a |
| 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-c42c65c77ee24996a3adc474d734257a2025-02-03T07:26:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/709124709124Global Stability of a Discrete Mutualism ModelKun Yang0Xiangdong Xie1Fengde Chen2College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, ChinaDepartment of Mathematics, Ningde Normal University, Fujian 352100, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, ChinaA discrete mutualism model is studied in this paper. By using the linear approximation method, the local stability of the interior equilibrium of the system is investigated. By using the iterative method and the comparison principle of difference equations, sufficient conditions which ensure the global asymptotical stability of the interior equilibrium of the system are obtained. The conditions which ensure the local stability of the positive equilibrium is enough to ensure the global attractivity are proved.http://dx.doi.org/10.1155/2014/709124 |
| spellingShingle | Kun Yang Xiangdong Xie Fengde Chen Global Stability of a Discrete Mutualism Model Abstract and Applied Analysis |
| title | Global Stability of a Discrete Mutualism Model |
| title_full | Global Stability of a Discrete Mutualism Model |
| title_fullStr | Global Stability of a Discrete Mutualism Model |
| title_full_unstemmed | Global Stability of a Discrete Mutualism Model |
| title_short | Global Stability of a Discrete Mutualism Model |
| title_sort | global stability of a discrete mutualism model |
| url | http://dx.doi.org/10.1155/2014/709124 |
| work_keys_str_mv | AT kunyang globalstabilityofadiscretemutualismmodel AT xiangdongxie globalstabilityofadiscretemutualismmodel AT fengdechen globalstabilityofadiscretemutualismmodel |