Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay (Q933542)
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scientific article; zbMATH DE number 5303246
| Language | Label | Description | Also known as |
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| English | Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay |
scientific article; zbMATH DE number 5303246 |
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Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay (English)
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21 July 2008
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By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a semi-ratio-dependent predator-prey system with nonmonotonic functional responses and time delay is established. Further, by constructing a Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the uniqueness and global stability of positive periodic solutions to the system. Finally, some numerical simulations are carried out to illustrate the effectiveness of the new results.
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nonmonotonic functional response
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semi-ratio-dependent
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predator-prey system
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time delay
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periodic solution
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Lyapunov functional
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global stability
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0.9752349
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0.96647877
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