reaction-diffusion systems

Reaction-diffusion systems describe how substances or chemicals interact and spread in space. They involve two main processes: "reaction," where substances transform into one another, and "diffusion," where particles move from areas of high concentration to low concentration. This interplay can lead to complex patterns, like the stripes on zebras or spots on leopards. Mathematically, these systems are modeled by equations that capture both the reactions between substances and their spread over time, helping scientists understand phenomena in biology, chemistry, and physics.