INVESTIGADORES
ABRAMSON Guillermo
artículos
Título:
Allee effect in models of interacting species
Autor/es:
KUPERMAN, MARCELO N.; ABRAMSON, GUILLERMO
Revista:
CHAOS, SOLITONS AND FRACTALS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Año: 2021 vol. 153
ISSN:
0960-0779
Resumen:
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 two-species competition models, together with our proposed solution of the careful inclusion of the corresponding cubic terms.
