Defensive alliances in spatial models of cyclical population interactions

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Abstract

Defensive alliances in spatial models of cyclical population interactions were analyzed using Monte Carlo (MC) methods on square lattices. MC analysis was used to predict the stationary distribution of competing species. MC simulations were performed on a square lattice with periodic boundary conditions for different mutation rates and interaction topologies. It is found that the forming defensive alliances is a powerful mechanism of stable population coexistence in the case of symmetric food-web topology.

Original languageEnglish
Article number042902
Pages (from-to)429021-429024
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume64
Issue number4 I
Publication statusPublished - Oct 1 2001

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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