A Generalized Lotka-Volterra Predator-Prey Model
by David Marshall

We will discuss the Lotka-Volterra system for the interaction between a single predator type and a single prey type. This system will then be generalized to allow for individuals within each population to have different rates. We will present numerical evidence to support the idea of survival of the fittest. Also, we will show that boundedness of the solution for the fittest prey implies the eventual extinction of all other prey.