Rock-Paper-Scissors in the ChemostatJames P Braselton*, Martha L Abell and Lorraine M Braselton
Department of Mathematical Sciences, P. O. Box 8093, Georgia Southern University, Statesboro, Georgia 30460-8093, USA
- *Corresponding Author:
- James P Braselton
Department of Mathematical Sciences
P.O. Box 8093, Georgia Southern University
Statesboro, Georgia 30460-8093, USA
E-mail: [email protected]
Received date: May 17, 2013; Accepted date: June 11, 2013; Published date: June 17, 2013
Citation: Braselton JP, Abell ML, Braselton LM (2013) Rock-Paper-Scissors in the Chemostat. J Comput Sci Syst Biol 6:118-131. doi:10.4172/jcsb.1000109
Copyright: © 2013 Braselton JP, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Rock-Paper-Scissors is a game played by two players to deter-mine 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. Be-cause 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.