| Literature DB >> 2520174 |
H I Freedman, J B Shukla, Y Takeuchi.
Abstract
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.Mesh:
Year: 1989 PMID: 2520174 DOI: 10.1016/0025-5564(89)90055-2
Source DB: PubMed Journal: Math Biosci ISSN: 0025-5564 Impact factor: 2.144