Allee effect in models of interacting species

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 twospecies competition models, together with our proposed solution of the careful inclusion of the corresponding cubic terms.

• Publication year

  2021

• Venue

  Chaos, Solitons & Fractals

• Publication date

  2021-06-10

• Fields of study

  Biology, Physics, Environmental Science

• Identifiers
  DOI 10.1016/j.chaos.2021.111512arXiv 2106.06070
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Mathematical biology

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