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The Beddington–DeAngelis Competitive Response: Intra-Species Interference Enhances Coexistence in Species Competition

Author

Listed:
  • María Carmen Vera

    (Universidad de Alcalá, Departamento de Física y Matemáticas, 28805 Alcalá de Henares, Spain
    These authors contributed equally to this work.)

  • Marcos Marvá

    (Universidad de Alcalá, Departamento de Física y Matemáticas, 28805 Alcalá de Henares, Spain
    These authors contributed equally to this work.)

  • Víctor José García-Garrido

    (Universidad de Alcalá, Departamento de Física y Matemáticas, 28805 Alcalá de Henares, Spain
    These authors contributed equally to this work.)

  • René Escalante

    (Universidad de Alcalá, Departamento de Física y Matemáticas, 28805 Alcalá de Henares, Spain
    These authors contributed equally to this work.)

Abstract

Species coexistence is a major issue in ecology. We disentangled the role of individual interference when competing in the classical interference competition model. For the first time, we considered simultaneously intra- and inter-species interference by introducing the Beddington–DeAngelis competitive response into the classical competition model. We found a trade-off between intra- and inter-species interference that refines in a sense the well-known balance of intra- and inter-species competition coefficients. As a result, we found that (i) global coexistence is possible for a larger range of values of the inter-/intra-species competition coefficients and contributes to explaining the high prevalence of species coexistence in nature. This feature is exclusively due to intra-species interference. (ii) We found multi-stability scenarios previously described in the literature that can be reinterpreted in terms of individuals interference.

Suggested Citation

  • María Carmen Vera & Marcos Marvá & Víctor José García-Garrido & René Escalante, 2024. "The Beddington–DeAngelis Competitive Response: Intra-Species Interference Enhances Coexistence in Species Competition," Mathematics, MDPI, vol. 12(4), pages 1-23, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:562-:d:1338292
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    References listed on IDEAS

    as
    1. Bulai, Iulia Martina & Venturino, Ezio, 2017. "Shape effects on herd behavior in ecological interacting population models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 141(C), pages 40-55.
    2. Castillo-Alvino, Hamlet Humberto & Marvá, Marcos, 2022. "Group defense promotes coexistence in interference competition: The Holling type IV competitive response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 426-445.
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