Abstract.
We consider n phenotypes of a species in a continuous but heterogeneous environment. It is assumed that the phenotypes differ only in their diffusion rates. With haploid genetics and a small rate of mutation, it is shown that the only nontrivial equilibrium is a population dominated by the slowest diffusing phenotype. We also prove that if there are only two possible phenotypes, then this equilibrium is a global attractor and conjecture that this is true in general. Numerical simulations supporting this conjecture and suggesting that this is a robust phenomenon are also discussed.
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Received: 29 January 1997 / Revised version: 23 September 1997
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Dockery, J., Hutson, V., Mischaikow, K. et al. The evolution of slow dispersal rates: a reaction diffusion model. J Math Biol 37, 61–83 (1998). https://doi.org/10.1007/s002850050120
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DOI: https://doi.org/10.1007/s002850050120