ISSN:
1432-1416
Keywords:
Key words: Evolution of dispersal
;
Migration modification
;
Reaction
;
diffusion
;
Montone systems
;
Perturbation of Morse decomposition
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002850050120
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