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

Bálint Takács, Róbert Horváth, I. Faragó

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)845-857
Number of pages13
JournalEuropean Journal of Mathematics
Issue number3
Publication statusPublished - Sep 15 2019



  • Differential equations
  • Diffusion
  • Easter Island
  • Finite element method
  • Modeling
  • Stability

ASJC Scopus subject areas

  • Mathematics(all)

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