Reaction-diffusion model describes changes in time and space densities of two or more substances. It can be used to describe chemical reactions, biology pattern-formation, ecology systems and more. The main goal of the study was to recapture patterns which appears in nature using mathematical equations of reaction-diffusion.

In performed simulations two ingredients reacion-diffusion model has been used. Also three reaction models - Mimura-Murray, Brusselator and Scott-Gray have been implemented. Some ranges of reaction and diffusion parameters can lead to spontaneous pattern-formation. Some of the patterns are similar to these appearing in nature.

Generated patterns has been compared to these appearing in nature on animals fur and skin. Many similarities have been found. It shows that by using pure mathematical equations it is possible to recapture complex natural processes.

• Legal notice:
  

  Copyright (c) Pielaszek Research, all rights reserved.
  The above materials, including auxiliary resources, are subject to Publisher's copyright and the Author(s) intellectual rights. Without limiting Author(s) rights under respective Copyright Transfer Agreement, no part of the above documents may be reproduced without the express written permission of Pielaszek Research, the Publisher. Express permission from the Author(s) is required to use the above materials for academic purposes, such as lectures or scientific presentations.
  In every case, proper references including Author(s) name(s) and URL of this webpage: https://science24.com/paper/32451 must be provided.