  Fisher-KPP equation is proved to be the scaling limit of a system of Brownian
particles with local interaction. Particles proliferate and die depending on
the local concentration of other particles. Opposite to discrete models,
controlling concentration of particles is a major difficulty in Brownian
particle interaction; local interactions instead of mean field or moderate ones
makes it more difficult to implement the law of large numbers properties. The
approach taken here to overcome these difficulties is largely inspired by A.
Hammond and F. Rezakhanlou [10] implemented there in the mean free path case
instead of the local interaction regime.
