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Global stability in models of population dynamics with diffusion. I. Patchy environments

Published online by Cambridge University Press:  14 November 2011

H. I. Freedman  and
T. Krisztin
H. I. Freedman
Affiliation:
Applied Mathematics Institute, Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
T. Krisztin
Affiliation:
Bolyai Institute, University of Szeged, Aradi Vértanúk tere 1, H-6720 Szeged, Hungary
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Synopsis

A class of models of single-species dynamics with diffusion within and between patches is considered. It is shown that under our prescribed conditions, there is a unique, positive, globally asymptotically stable steady state.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 122 , Issue 1-2 , 1992 , pp. 69 - 84
Copyright
Copyright © Royal Society of Edinburgh 1992

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