Abstract
Models for a single species that inhabits an environment that is spatially varying are presented. Simple necessary and sufficient conditions for stability, which are independent of the exact details of the dispersal process, are developed in the case of large diffusion rates. The results highlight the important stabilizing nature of diffusion in a spatially varying environment.
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Hastings, A. Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates. J. Math. Biology 16, 49–55 (1982). https://doi.org/10.1007/BF00275160
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DOI: https://doi.org/10.1007/BF00275160