"Allee effects introduced by density dependent pheology"
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 function 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.
Additional authors: Timothy Pervenecki, Wabash College; Sharon Bewick, Clemson University; William Fagan, University of Maryland; Bingtuan Li, University of Louisville