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Allee effect in models of interacting species

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  • Kuperman, Marcelo N.
  • Abramson, Guillermo

Abstract

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.

Suggested Citation

  • Kuperman, Marcelo N. & Abramson, Guillermo, 2021. "Allee effect in models of interacting species," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008663
    DOI: 10.1016/j.chaos.2021.111512
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    References listed on IDEAS

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    1. Kuperman, M.N. & Laguna, M.F. & Abramson, G. & Monjeau, J.A. & Lanata, J.L., 2019. "Metapopulation oscillations from satiation of predators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
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    More about this item

    Keywords

    Population dynamics; Allee effect;

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