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Allee effects introduced by density dependent phenology
Timothy J Pervenecki1, Sharon Bewick2, Garrett Otto3
1Department of Mathematics and Computer Science, University of Wisconsin-Superior, Superior, WI 54880, United States of America.
Abstract:
We consider a hybrid model of an annual species with the timing of a stage transition governed by density dependent phenology. We show that the model can produce a strong Allee effect as well as overcompensation. The density dependent probability distribution that describes how population emergence is spread over time plays an important role in determining population dynamics. Our extensive numerical simulations with a density dependent gamma distribution indicate very rich population dynamics, from stable/unstable equilibria, limit cycles, to chaos.
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