Competing Neutral Populations of Different Diffusivity

Abstract

The possibility of moving in space is fundamental for the survival of many biological organisms. While movement patterns can sometimes be complex, reflecting evolutionary strategies to search for food, in many settings movement can be mathematically described as Brownian motion. Macroscopically, this leads to a description in terms of a diffusion equation, or a Fisher equation [2, 3] if birth-death dynamics is also taken into account.