Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates
In this paper, we propose and analyze a commensalism model with nonmonotonic functional response and density-dependent birth rates. The model can have at most four nonnegative equilibria. By applying the differential inequality theory, we show that each equilibrium can be globally attractive under s...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/9862584 |
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| _version_ | 1850223173053710336 |
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| author | Liang Zhao Bin Qin Xianbo Sun |
| author_facet | Liang Zhao Bin Qin Xianbo Sun |
| author_sort | Liang Zhao |
| collection | DOAJ |
| description | In this paper, we propose and analyze a commensalism model with nonmonotonic functional response and density-dependent birth rates. The model can have at most four nonnegative equilibria. By applying the differential inequality theory, we show that each equilibrium can be globally attractive under suitable conditions. However, commensalism can be established only when resources for both species are large enough. |
| format | Article |
| id | doaj-art-69a9b52a0922461e8d94c8086874a5d3 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-69a9b52a0922461e8d94c8086874a5d32025-08-20T02:06:04ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/98625849862584Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth RatesLiang Zhao0Bin Qin1Xianbo Sun2College of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaCollege of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaCollege of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaIn this paper, we propose and analyze a commensalism model with nonmonotonic functional response and density-dependent birth rates. The model can have at most four nonnegative equilibria. By applying the differential inequality theory, we show that each equilibrium can be globally attractive under suitable conditions. However, commensalism can be established only when resources for both species are large enough.http://dx.doi.org/10.1155/2018/9862584 |
| spellingShingle | Liang Zhao Bin Qin Xianbo Sun Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates Complexity |
| title | Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates |
| title_full | Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates |
| title_fullStr | Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates |
| title_full_unstemmed | Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates |
| title_short | Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates |
| title_sort | dynamic behavior of a commensalism model with nonmonotonic functional response and density dependent birth rates |
| url | http://dx.doi.org/10.1155/2018/9862584 |
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