Two alternative biological models are presented. They can be used as aids in determining sterile ♂ release strategies that maximize well-defined utility functions subject to the dynamics of the population and ecosystem. One model is a traditional deterministic population model, while the 2nd is a stochastic model in the sense that it accounts for the probabilistic outcome of a release of sterile ♂ into a wild population. The stochastic model is obviously more realistic and accurate, but it is much more costly to solve. Consequently, researchers must decide whether the added realism justifies the increased computational cost.