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• W1994005493 abstract "We describe the dynamics of an evolutionary model for a population subject to a strong Allee effect. The model assumes that the carrying capacity k(u), inherent growth rate r(u), and Allee threshold a(u) are functions of a mean phenotypic trait u subject to evolution. The model is a plane autonomous system that describes the coupled population and mean trait dynamics. We show bounded orbits equilibrate and that the Allee basin shrinks (and can even disappear) as a result of evolution. We also show that stable non-extinction equilibria occur at the local maxima of k(u) and that stable extinction equilibria occur at local minima of r(u). We give examples that illustrate these results and demonstrate other consequences of an Allee threshold in an evolutionary setting. These include the existence of multiple evolutionarily stable, non-extinction equilibria, and the possibility of evolving to a non-evolutionary stable strategy (ESS) trait from an initial trait near an ESS." @default.
• W1994005493 created "2016-06-24" @default.
• W1994005493 creator A5028959064 @default.
• W1994005493 creator A5042113536 @default.
• W1994005493 date "2012-03-01" @default.
• W1994005493 modified "2023-10-16" @default.
• W1994005493 title "Evolutionary dynamics and strong Allee effects" @default.
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• W1994005493 doi "https://doi.org/10.1080/17513758.2012.697196" @default.
• W1994005493 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22881366" @default.
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