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Asymptotic behavior of nonautonomous diffusive Lotka-Volterra model. (English) Zbl 0913.92017

Summary: The authors investigate the asymptotic behavior of a predator-prey model. The model is composed of two patches. The system has two species: one can diffuse between the two patches, but the other is confined to one of the patches and cannot diffuse. It is proved that the system is globally stable under appropriate conditions.

MSC:

92D25 Population dynamics (general)
34D05 Asymptotic properties of solutions to ordinary differential equations
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