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Global stability of a population dispersal in a two-patch environment. (English) Zbl 0892.92026

Summary: A nonautonomous system is studied which models a population dispersal between two patches of a heterogeneous environment. Under the assumption that all the parameters of the model are continuous and bounded, sufficient conditions are established for global stability of the system.

MSC:

92D40 Ecology
34D05 Asymptotic properties of solutions to ordinary differential equations
34D99 Stability theory for ordinary differential equations
34C11 Growth and boundedness of solutions to ordinary differential equations
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