Uninvadability in N-species frequency models for resident-mutant systems with discrete or continuous time.
The uninvadability concept, that was originally introduced through static comparisons of individual fitness in resident-mutant systems for a single species, is developed for multi-species models with frequency-dependent fitness by extending its equivalent single-species dynamic characterization. This multi-species definition is then reinterpreted in terms of individual fitness functions based on intra and interspecific interactions. The resultant concept is discussed in relation to that of an N-species ESS (evolutionarily stable strategy) and to dynamic stability of monomorphic and polymorphic evolutionary systems.
Cressman
Ross
R
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5. rcressma@wlu.ca
D005075:Biological Evolution; D005716:Game Theory; D005828:Genetics, Population; D006801:Humans; D008957:Models, Genetic; D015233:Models, Statistical; D009154:Mutation; D010641:Phenotype; D012641:Selection, Genetic