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Plant–pollinator population dynamics

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  • Fishman, Michael A.
  • Hadany, Lilach

Abstract

We formulate and analyze a multi-generation population dynamics model for pollinators’ mutualism with plants. The centerpiece of our model is an analytical expression for population-level plant–pollinator interactions extrapolated from a model of individual-level flowers and bees interactions. We also show that this analytical expression can be productively approximated by the Beddington–DeAngelis formula—a function used to model trophic interactions in mathematical ecology.

Suggested Citation

  • Fishman, Michael A. & Hadany, Lilach, 2010. "Plant–pollinator population dynamics," Theoretical Population Biology, Elsevier, vol. 78(4), pages 270-277.
    • Handle: RePEc:eee:thpobi:v:78:y:2010:i:4:p:270-277
    DOI: 10.1016/j.tpb.2010.08.002
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    References listed on IDEAS

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    1. Ginzburg, Lev R. & Jensen, Christopher X.J. & Yule, Jeffrey V., 2007. "Aiming the “unreasonable effectiveness of mathematics” at ecological theory," Ecological Modelling, Elsevier, vol. 207(2), pages 356-362.
    2. Olsson, Ola & Brown, Joel S. & Helf, Kurt L., 2008. "A guide to central place effects in foraging," Theoretical Population Biology, Elsevier, vol. 74(1), pages 22-33.
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    Cited by:

    1. Wang, Yuanshi & Wu, Hong & Wang, Shikun, 2015. "Invasibility of nectar robbers in pollination-mutualisms," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 908-919.
    2. Song, Zhiyuan & Feldman, Marcus W., 2013. "Plant–animal mutualism in biological markets: Evolutionary and ecological dynamics driven by non-heritable phenotypic variance," Theoretical Population Biology, Elsevier, vol. 88(C), pages 20-30.
    3. Wang, Yuanshi & Wu, Hong, 2015. "Stability of plant–pollinator–ant co-mutualism," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 231-241.
    4. Wang, Yuanshi & Wu, Hong & Sun, Shan, 2012. "Persistence of pollination mutualisms in plant–pollinator–robber systems," Theoretical Population Biology, Elsevier, vol. 81(3), pages 243-250.

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