On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response
The dynamic behaviors of a nonautonomous system for migratory birds with Hassell-Varley type functional response and the saturation incidence rate are studied. Under quite weak assumptions, some sufficient conditions are obtained for the permanence and extinction of the disease. Moreover, the global...
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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/10.1155/2014/864678 |
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| _version_ | 1832554390973579264 |
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| author | Yan Zhang Shujing Gao Kuangang Fan |
| author_facet | Yan Zhang Shujing Gao Kuangang Fan |
| author_sort | Yan Zhang |
| collection | DOAJ |
| description | The dynamic behaviors of a nonautonomous system for migratory birds with Hassell-Varley type functional response and the saturation incidence rate are studied. Under quite weak assumptions,
some sufficient conditions are obtained for the permanence and extinction of the disease. Moreover, the global attractivity of the model is discussed by constructing a Lyapunov function. Numerical simulations
which support our theoretical analysis are also given. |
| format | Article |
| id | doaj-art-d6fb0973084c44e883e0c31af07d8b5c |
| 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-d6fb0973084c44e883e0c31af07d8b5c2025-02-03T05:51:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/864678864678On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional ResponseYan Zhang0Shujing Gao1Kuangang Fan2Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaKey Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaSchool of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, ChinaThe dynamic behaviors of a nonautonomous system for migratory birds with Hassell-Varley type functional response and the saturation incidence rate are studied. Under quite weak assumptions, some sufficient conditions are obtained for the permanence and extinction of the disease. Moreover, the global attractivity of the model is discussed by constructing a Lyapunov function. Numerical simulations which support our theoretical analysis are also given.http://dx.doi.org/10.1155/2014/864678 |
| spellingShingle | Yan Zhang Shujing Gao Kuangang Fan On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response Abstract and Applied Analysis |
| title | On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response |
| title_full | On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response |
| title_fullStr | On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response |
| title_full_unstemmed | On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response |
| title_short | On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response |
| title_sort | on the dynamics of a nonautonomous predator prey model with hassell varley type functional response |
| url | http://dx.doi.org/10.1155/2014/864678 |
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