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The effect of tree diffusion in a two-dimensional continuous model for Easter Island

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Abstract

We consider a two-dimensional continuous model that describes the ecology of Easter Island. We show that the increase of the parameter corresponding to the diffusion of trees on the island has a stabilizing effect on the system, potentially preventing the collapse of island’s ecology. Next we give analytic proofs for these statements, and conduct numerical experiments that confirm these results.

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Authors and Affiliations

  1. Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, Pázmány Péter stny. 1/C, Budapest, 1117, Hungary

    Bálint Takács & István Faragó

  2. Department of Analysis, Budapest University of Technology and Economics, Egry J. u. 1., Budapest, 1111, Hungary

    Róbert Horváth

  3. MTA-ELTE NumNet Research Group, Budapest, Hungary

    Róbert Horváth & István Faragó

Authors
  1. Bálint Takács
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  2. Róbert Horváth
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  3. István Faragó
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Corresponding author

Correspondence to István Faragó.

Additional information

The authors were supported by the Hungarian Research Fund OTKA under Grant No. K-112157 and SNN-125119. The first author was also supported by the ÚNKP-17-3 New National Excellence Program of the Ministry of Human Capacities.

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Takács, B., Horváth, R. & Faragó, I. The effect of tree diffusion in a two-dimensional continuous model for Easter Island. European Journal of Mathematics 5, 845–857 (2019). https://doi.org/10.1007/s40879-018-0276-3

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  • DOI: https://doi.org/10.1007/s40879-018-0276-3

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