Allee effect in models of interacting species

KUPERMAN, MARCELO N; ABRAMSON, GUILLERMO

CHAOS, SOLITONS AND FRACTALS

PERGAMON-ELSEVIER SCIENCE LTD

Lugar: Amsterdam; Año: 2021 vol. 153 p. 111512 - 111516

0960-0779

The search for more realistic models for interacting species has produced many adaptations of the original Lotka-Volterra equations, such as the inclusion of the Allee effect and the different Holling?s types of functional response. In the present work we show that a correct implementation of both ideas together requires a careful formulation. We focus our work in the fact that a density dependent carrying capacity, combined with the Allee effect, can lead to meaningless effects. We illustrate the difficulties in predator-prey and twospeciescompetition models, together with our proposed solution of the careful inclusion of the corresponding cubic terms.