Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species

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Abstract

Cyclic predator-prey models with four or six species are studied on a square lattice when the invasion rates are varied. It is found that the cyclic invasions maintain a self-organizing pattern as long as the deviation of the invasion rate(s) from a uniform value does not exceed a threshold value. For larger deviations, the system exhibits a continuous phase transition into a frozen distribution of odd (or even) label species.

Original languageEnglish
Article number011906
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume77
Issue number1
DOIs
Publication statusPublished - Jan 15 2008

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predators
Predator-prey Model
Invasion
Phase Transition
deviation
organizing
Self-organizing
Threshold Value
Square Lattice
Large Deviations
thresholds
Exceed
Deviation
Odd

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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abstract = "Cyclic predator-prey models with four or six species are studied on a square lattice when the invasion rates are varied. It is found that the cyclic invasions maintain a self-organizing pattern as long as the deviation of the invasion rate(s) from a uniform value does not exceed a threshold value. For larger deviations, the system exhibits a continuous phase transition into a frozen distribution of odd (or even) label species.",
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