Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients
We study the permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients. We provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent and a sufficient condition for the existence of a periodic solution. In addit...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/845606 |
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| _version_ | 1832549979427700736 |
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| author | Jinhuo Luo |
| author_facet | Jinhuo Luo |
| author_sort | Jinhuo Luo |
| collection | DOAJ |
| description | We study the permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients. We provide a sufficient and necessary condition to guarantee
the predator and prey species to be permanent and a sufficient condition for the existence of a
periodic solution. In addition we prove that when the predator population tends to extinction,
the prey population keeps oscillating above a positive population level. |
| format | Article |
| id | doaj-art-1c0a2e70976b4b62a64579c823d14569 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1c0a2e70976b4b62a64579c823d145692025-02-03T06:07:59ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/845606845606Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic CoefficientsJinhuo Luo0School of Mathematical Sciences, Fudan University, Shanghai 200433, ChinaWe study the permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients. We provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent and a sufficient condition for the existence of a periodic solution. In addition we prove that when the predator population tends to extinction, the prey population keeps oscillating above a positive population level.http://dx.doi.org/10.1155/2010/845606 |
| spellingShingle | Jinhuo Luo Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients Abstract and Applied Analysis |
| title | Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients |
| title_full | Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients |
| title_fullStr | Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients |
| title_full_unstemmed | Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients |
| title_short | Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients |
| title_sort | permanence and extinction of a generalized gause type predator prey system with periodic coefficients |
| url | http://dx.doi.org/10.1155/2010/845606 |
| work_keys_str_mv | AT jinhuoluo permanenceandextinctionofageneralizedgausetypepredatorpreysystemwithperiodiccoefficients |