On a population model with density dependence and Allee effect

Theory Biosci. 2023 Nov;142(4):423-441. doi: 10.1007/s12064-023-00407-y. Epub 2023 Oct 2.

Abstract

We study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.

Keywords: Allee effect; Complexity; Entropy; Periodic systems; Population dynamics.

MeSH terms

  • Models, Biological*
  • Population Density
  • Population Dynamics