Before revision: We consider certain analytical features of the "Kill the Winner" model which is a stochastic model that can explain among other things competition among species and simultaneous predation on the competing species  .
After revision: We consider certain analytical features of the "Kill the Winner" model which is a stochastic model that can explain among other things competition among species and simultaneous predation on the competing species from a geometric perspective which allows for a systematic description of models admitting singular Lagrangians .