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Permanence and periodic solutions for a two-patch impulsive migration periodic \(N\)-species Lotka-Volterra competitive system - MaRDI portal

Permanence and periodic solutions for a two-patch impulsive migration periodic \(N\)-species Lotka-Volterra competitive system (Q1723270)

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scientific article; zbMATH DE number 7025297
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Permanence and periodic solutions for a two-patch impulsive migration periodic \(N\)-species Lotka-Volterra competitive system
scientific article; zbMATH DE number 7025297

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    Permanence and periodic solutions for a two-patch impulsive migration periodic \(N\)-species Lotka-Volterra competitive system (English)
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    19 February 2019
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    Summary: We study a two-patch impulsive migration periodic \(N\)-species Lotka-Volterra competitive system. Based on analysis method, inequality estimation, and Lyapunov function method, sufficient conditions for the permanence and existence of a unique globally stable positive periodic solution of the system are established. Some numerical examples are shown to verify our results and discuss the model further.
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