Construction and stability analysis of transition layer solutions in reaction-diffusion systems
نویسندگان
چکیده
منابع مشابه
Cross-diffusion Induced Instability and Stability in Reaction-diffusion Systems
In a reaction-diffusion system, diffusion can induce the instability of a uniform equilibrium which is stable with respect to a constant perturbation, as shown by Turing in 1950s. We show that cross-diffusion can destabilize a uniform equilibrium which is stable for the kinetic and self-diffusion reaction systems; on the other hand, cross-diffusion can also stabilize a uniform equilibrium which...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1990
ISSN: 0040-8735
DOI: 10.2748/tmj/1178227692