Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations

✍ Scribed by K.J. Brown; J.C. Eilbeck

• Book ID: 104272432
• Publisher: Springer
• Year: 1982
• Tongue: English
• Weight: 633 KB
• Volume: 44
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(82)80033-5

✦ Synopsis

The effect of keeping all the parameters constant, except the diffusion coefficients, in a pair of reaction-diffusion equations is studied. It is shown that the stability of the constant solution and the bifurcation points can be easily established by constructing a simple stability diagram. The possible qualitatively different diagrams are enumerated.