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“Rock-paper-scissors” is a game played by two players to determine a single winner. In this paper, we state a  continuous model of “rock-paper-scissors” in the chemostat and then generalize the model of “rock-paper-scissors” to  a model of “rock-paper-scissors-lizard-Spock” in the chemostat that coincides with the biology of such relationships.  The model we develop is based on a well-studied system of nonlinear differential equations that model these types of  competitive relationships, which we then extend to give each organism a defense against its competitors in a “rockpaper-  scissors-lizard-Spock” relationship. In a “rock-paper-scissors” relationship, it is rare to observe chaos/strange  attractors. On the other hand, in a “rock-paper-scissors-lizard-Spock” relationship, chaos/strange attractors are  typical. But, by giving a defense to a competitor, we numerically see that chaos/strange attractors can be eliminated from the system.

Defensive Strategies May Stabilize Unstable Competitive Systems: A Model of “Rock-Paper-Scissors-Lizard-Spock” in the Chemostat