Ref ID : 50
Freedman, H.I., Shukla, J.B., and Takeuchi, Y.; Population diffusion in a two-patch environment. Math.Biosci. 95:111-123, 1989
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A model of a single-species population diffusing in a two-patch environment is proposed. It is shown that there exists a positive, monotonic, continuous steady-state solution with continuous flux, in the cases of both reservoir and no-flux boundary conditions, that is asymptotically stable. In the case of patches with equal carrying capacities, it is shown that the uniform steady state is globally asymptotically stable.