Microscopic Simulation of Reaction-Diffusion Processes and Applications to Population Biology and Product Marketing

TL;DR

This paper introduces a novel simulation algorithm for reaction-diffusion processes with discrete fields, exploring applications in population biology and product marketing, including localization phenomena and autocatalytic reactions.

Contribution

It presents a new algorithm for simulating reaction-diffusion processes with trace densities and applies it to biological and marketing scenarios, highlighting localization effects.

Findings

Successful simulation of autocatalytic processes

Observation of Anderson localization phenomena

Application of reaction-diffusion models to marketing

Abstract

We simulate reaction-diffusion processes with discrete fields. We use a novel algorithm to simulate different autocatalytic processes with trace densities. Anderson localization with a diffusive potential is studied. A reaction-diffusion process with dynamic localization is discussed in a marketing context.