Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking (Q1827078)
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scientific article; zbMATH DE number 2082137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking |
scientific article; zbMATH DE number 2082137 |
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Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking (English)
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6 August 2004
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The authors study Lotka-Volterra competition patch systems with stocking. The goal of the paper is to derive a set of easily verifiable conditions for the existence and global attractivity of positive periodic solutions of the systems under consideration. To this end, the authors use Mawhin's continuation theorem from the theory of the coincidence degree and Lyapunov functionals.
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coincidence degree
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positive periodic solution
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global attractivity
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Lotka-Volterra-type competition patch system
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stocking rate
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Lyapunov functional
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