Article
Lotka-Volterra approximations for evolutionary trait-substitution processes.
Journal of mathematical biology - 1 Jun 2020
Ito Hiroshi C, Dieckmann Ulf, Metz Johan A J
Abstract excerpt
A set of axioms is formulated characterizing ecologically plausible community dynamics. Using these axioms, it is proved that the transients following an invasion into a sufficiently stable equilibrium community by a mutant phenotype similar to one of the community's finitely many resident phenotypes can always be approximated by means of an appropriately chosen Lotka-Volterra model. To this end, the assumption...
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