Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response
By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley type functional response are obtained. Example together with its nu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/323065 |
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| _version_ | 1832554889391112192 |
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| author | Runxin Wu Lin Li |
| author_facet | Runxin Wu Lin Li |
| author_sort | Runxin Wu |
| collection | DOAJ |
| description | By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the
discrete predator-prey system with Hassell-Varley type functional
response are obtained. Example together with its numerical simulation shows that the main results are verifiable. |
| format | Article |
| id | doaj-art-144b1011b1004202a52e869ba99dd092 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-144b1011b1004202a52e869ba99dd0922025-02-03T05:50:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/323065323065Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional ResponseRunxin Wu0Lin Li1Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, ChinaDepartment of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, ChinaBy constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley type functional response are obtained. Example together with its numerical simulation shows that the main results are verifiable.http://dx.doi.org/10.1155/2009/323065 |
| spellingShingle | Runxin Wu Lin Li Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response Discrete Dynamics in Nature and Society |
| title | Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response |
| title_full | Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response |
| title_fullStr | Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response |
| title_full_unstemmed | Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response |
| title_short | Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response |
| title_sort | permanence and global attractivity of discrete predator prey system with hassell varley type functional response |
| url | http://dx.doi.org/10.1155/2009/323065 |
| work_keys_str_mv | AT runxinwu permanenceandglobalattractivityofdiscretepredatorpreysystemwithhassellvarleytypefunctionalresponse AT linli permanenceandglobalattractivityofdiscretepredatorpreysystemwithhassellvarleytypefunctionalresponse |