Periodic solution of a nonautonomous diffusive food chain system of three species with time delays (Q1879156)
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scientific article; zbMATH DE number 2101834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solution of a nonautonomous diffusive food chain system of three species with time delays |
scientific article; zbMATH DE number 2101834 |
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Periodic solution of a nonautonomous diffusive food chain system of three species with time delays (English)
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22 September 2004
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A 2-patch food-chain system is studied. In patch I there are three species \(X1\), \(X2\), \(X3\) where \(X2\) predates on \(X1\) and \(X3\) predates on \(X2\). \(X1\) can diffuse between the two patches while \(X2\), \(X3\) cannot. The system has both periodic coefficients and delay. Conditions for the existence of a positive periodic solution are derived by using the continuation theorem of coincidence degree theory.
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diffusive food chain system
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positive periodic solution
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the continuation theorem of coincidence degree
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topological degree
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