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Multiple hydra effect in a predator–prey model with Allee effect and mutual interference in the predator

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  • Iskin da S. Costa, Michel
  • dos Anjos, Lucas

Abstract

In this work we show by means of numerical bifurcation analysis that two alternative stable states exhibit a hydra effect in a continuous time predator-prey model with Allee effect and mutual interference in the predator. We denote this behavior as multiple hydra effect. In addition, it is also shown that there are no cascading effects along the multiple hydra effect interval. In other words, besides the multiple hydra effect, there is a positive correlation between predator and prey densities when the density independent per capita mortality rate of the predator is increased.

Suggested Citation

  • Iskin da S. Costa, Michel & dos Anjos, Lucas, 2018. "Multiple hydra effect in a predator–prey model with Allee effect and mutual interference in the predator," Ecological Modelling, Elsevier, vol. 373(C), pages 22-24.
    • Handle: RePEc:eee:ecomod:v:373:y:2018:i:c:p:22-24
    DOI: 10.1016/j.ecolmodel.2018.02.005
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    References listed on IDEAS

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    1. Verdy, Ariane, 2010. "Modulation of predator–prey interactions by the Allee effect," Ecological Modelling, Elsevier, vol. 221(8), pages 1098-1107.
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    Cited by:

    1. Anjos, Lucas dos & Costa, Michel Iskin da S. & Almeida, Regina C., 2020. "Characterizing the existence of hydra effect in spatial predator-prey models and the influence of functional response types and species dispersal," Ecological Modelling, Elsevier, vol. 428(C).
    2. Haoming Shi & Fei Xu & Jinfu Cheng & Victor Shi, 2023. "Exploring the Evolution of the Food Chain under Environmental Pollution with Mathematical Modeling and Numerical Simulation," Sustainability, MDPI, vol. 15(13), pages 1-17, June.
    3. Adhikary, Prabir Das & Mukherjee, Saikat & Ghosh, Bapan, 2021. "Bifurcations and hydra effects in Bazykin’s predator–prey model," Theoretical Population Biology, Elsevier, vol. 140(C), pages 44-53.
    4. Savoca, S. & Grifó, G. & Panarello, G. & Albano, M. & Giacobbe, S. & Capillo, G. & Spanó, N. & Consolo, G., 2020. "Modelling prey-predator interactions in Messina beachrock pools," Ecological Modelling, Elsevier, vol. 434(C).
    5. de Godoy, Isabelle Bueno Silva & McGrane-Corrigan, Blake & Mason, Oliver & Moral, Rafael de Andrade & Godoy, Wesley Augusto Conde, 2023. "Plant-host shift, spatial persistence, and the viability of an invasive insect population," Ecological Modelling, Elsevier, vol. 475(C).

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