Population diffusion in a two-patch environment.

  title={Population diffusion in a two-patch environment.},
  author={H. I. Freedman and Jayesh B Shukla and Yasuhiro Takeuchi},
  journal={Mathematical biosciences},
  volume={95 1},
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. 
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