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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |