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Group defense promotes coexistence in interference competition: The Holling type IV competitive response

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  • Castillo-Alvino, Hamlet Humberto
  • Marvá, Marcos

Abstract

We investigate the role of group defense in the context of species interference competition by incorporating a Holling type IV like interaction term into the classical model. We have found a trade-off between species competitive strength and defense efficiency that reduces inter-species competition pressure. Thus, group defense promotes both each species probability of survival and species coexistence in two different ways: (i) Enlarging the range of parameter values yielding species survival/coexistence and (ii) Allowing for multi-stability scenarios, including global coexistence through several simultaneous coexistence asymptotically stable states that, to our knowledge, have not been previously reported in pure interference competition models.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:198:y:2022:i:c:p:426-445
    DOI: 10.1016/j.matcom.2022.02.031
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    References listed on IDEAS

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    1. Wouter K. Vahl & Jaap van der Meer & Franz J. Weissing & Diederik van Dullemen & Theunis Piersma, 2005. "The mechanisms of interference competition: two experiments on foraging waders," Behavioral Ecology, International Society for Behavioral Ecology, vol. 16(5), pages 845-855, September.
    2. 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.
    3. Marvá, Marcos & de la Parra, Rafael Bravo, 2015. "Coexistence and superior competitor exclusion in the Leslie–Gower competition model with fast dispersal," Ecological Modelling, Elsevier, vol. 306(C), pages 247-256.
    4. R. Bravo de la Parra & M. Marvá & E. Sánchez & L. Sanz, 2017. "Discrete Models of Disease and Competition," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-13, September.
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    Cited by:

    1. 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.
    2. Tian, Yuan & Li, Chunxue & Liu, Jing, 2023. "Complex dynamics and optimal harvesting strategy of competitive harvesting models with interval-valued imprecise parameters," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Liang Cao & Azhar Halik & Ahmadjan Muhammadhaji, 2023. "Further Studies on the Dynamics of a Lotka–Volterra Competitor–Competitor–Mutualist System with Time-Varying Delays," Mathematics, MDPI, vol. 11(13), pages 1-14, June.

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