A nonautonomous predator-prey system with stage structure and double time delays (Q1026454)
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scientific article; zbMATH DE number 5570575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonautonomous predator-prey system with stage structure and double time delays |
scientific article; zbMATH DE number 5570575 |
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A nonautonomous predator-prey system with stage structure and double time delays (English)
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25 June 2009
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The authors deal with a nonautonomous predator-prey model with stage structure and maturation time delays. It is assumed that the immature and mature individuals of each species are divided by a fixed age, and the mature predator only attacks the immature prey. Based on some comparison arguments, the permanence of the species is obtained. By using the coincidence degree theory and constructing an appropriate Lyapunov functional, some sufficient conditions for the uniqueness and the global stability of positive periodic solution are given. Finally, two examples are given to illustrate the feasibility of main results.
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predator-prey model
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stage structure
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delay
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permanence
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periodic solution
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