Rock-Paper-Scissors in the Chemostat

James P. Braselton, Martha L. Abell, Lorraine Braselton

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Abstract

Rock-Paper-Scissors is a game played by two players to determine a single winner. Biological relationships of Rock-Paper-Scissors are documented. In this paper, we form a continuous model of Rock-Papers-Scissors in the chemostat that coincides with the biology of such relationships. The basic models that we develop coincide with the observed phenomena. Because the model involves a system of seven nonlinear differential equations, global results are difficult to obtain. We present several numerical studies that are the result of a substantial number of numerical trials to illustrate the various possibilities that might occur in the context of the problem discussed here.

Original languageAmerican English
JournalJournal of Computer Science and Systems Biology
Volume6
DOIs
StatePublished - Jun 17 2013

Disciplines

  • Education
  • Mathematics

Keywords

  • Chemostat
  • Competition
  • Rock-paper-scissors
  • Inhibitor
  • Quorum sensing
  • Colicin
  • Antibiotic

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