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 language | American English |
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Journal | Journal of Computer Science and Systems Biology |
Volume | 6 |
DOIs | |
State | Published - Jun 17 2013 |
Disciplines
- Education
- Mathematics
Keywords
- Chemostat
- Competition
- Rock-paper-scissors
- Inhibitor
- Quorum sensing
- Colicin
- Antibiotic