Abstract:

 Lokta and Voltera found that within the evolution of two populations, predators and preys, there are equilibrium solutions.  In the basic problem, the preditor population is reduced in the absence of prey and will slowly multiply in the presence of prey.  The prey population is diminished by the predators and multiplies proportionally to the prey population.  Yet, when placed within a segmented spatial extent, to allow for migration, does this evolution still have predictable stable solutions?  I plan to use a Monte Carlo method algorithm to evolve the population, and expedite the calculation use parallel computing, to find such solutions, if they exist.  To test if this work is relevant, its must be compared to its biological equivalent, foxes and bunnies or some such, or another similar system.