I'm an applied mathematician with a huge interest in mathematical biology. While looking at this paper, I came across with the following:

Examples of reaction-diffusion systems (1)-(2), falling into the class of systems we are interested in, are for instance the Brusselator, the Schnakenberg, the Gray-Scott and the Gierer-Meinhardt model coupled to a conservation law coming for instance from ecology.

Although I googled a lot, I couldn't find any example/reference from ecology which satisfies the above. Since at the end of the day, I am simply a mathematician, I thought to ask the experts of that forum. Having a motivation can help someone gain easier intuition on the expected results, which is really important.

Question: What are some examples of reaction-diffusion systems, coupled to a conservation law, coming from biology? I'm looking for a rather simple reference or examples from daily life (if any).

Any help will be much appreciated. Thanks in advance!

  • 1
    $\begingroup$ Please try to use a descriptive title that makes it easy for interested people to recognize they'd be interested in your question. $\endgroup$
    – Bryan Krause
    Commented Mar 20 at 12:55
  • 1
    $\begingroup$ Paper, Chapter $\endgroup$
    – Roni Saiba
    Commented Mar 21 at 2:58
  • $\begingroup$ @BryanKrause You're absolutely right. I edited my title, hope that it's better now $\endgroup$ Commented Mar 21 at 10:37
  • $\begingroup$ @RoniSaiba thank you very much, I'll check that! $\endgroup$ Commented Mar 21 at 10:38
  • $\begingroup$ There is a whole book here from spatial ecology. there appear to also be some applications in biochemistry involving adsorption or consumption across a spatial gradient. $\endgroup$ Commented Mar 28 at 17:13


You must log in to answer this question.

Browse other questions tagged .