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Optimal dispersal in ecological dynamics with Allee effect in metapopulations

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  • Marcelo A Pires
  • Sílvio M Duarte Queirós

Abstract

We introduce a minimal agent-based model to understand the effects of the interplay between dispersal and geometric constraints in metapopulation dynamics under the Allee Effect. The model, which does not impose nonlinear birth and death rates, is studied both analytically and numerically. Our results indicate the existence of a survival-extinction boundary with monotonic behavior for weak spatial constraints and a nonmonotonic behavior for strong spatial constraints so that there is an optimal dispersal that maximizes the survival probability. Such optimal dispersal has empirical support from recent experiments with engineered bacteria.

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  • Marcelo A Pires & Sílvio M Duarte Queirós, 2019. "Optimal dispersal in ecological dynamics with Allee effect in metapopulations," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-15, June.
    • Handle: RePEc:plo:pone00:0218087
    DOI: 10.1371/journal.pone.0218087
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    References listed on IDEAS

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    1. Nagatani, Takashi & Ichinose, Genki, 2019. "Diffusively coupled Allee effect on heterogeneous and homogeneous graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 18-28.
    2. Jonsen, Ian D. & Bourchier, Robert S. & Roland, Jens, 2007. "Influence of dispersal, stochasticity, and an Allee effect on the persistence of weed biocontrol introductions," Ecological Modelling, Elsevier, vol. 203(3), pages 521-526.
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    Cited by:

    1. Pires, Marcelo A. & Crokidakis, Nuno & Duarte Queirós, Sílvio M., 2022. "Randomness in ecology: The role of complexity on the Allee effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    2. Alexander Korotkov & Sergei Petrovskii, 2023. "Extinctions in a Metapopulation with Nonlinear Dispersal Coupling," Mathematics, MDPI, vol. 11(20), pages 1-22, October.

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