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http://dx.doi.org/10.4134/JKMS.2006.43.3.659

GLOBAL COUPLING EFFECTS ON A FREE BOUNDARY PROBLEM FOR THREE-COMPONENT REACTION-DIFFUSION SYSTEM  

Ham, Yoon-Mee (Department of Mathematics Kyonggi University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.3, 2006 , pp. 659-676 More about this Journal
Abstract
In this paper, we consider three-component reaction-diffusion system. With an integral condition and a global coupling, this system gives us an interesting free boundary problem. We shall examine the occurrence of a Hopf bifurcation and the stability of solutions as the global coupling constant varies. The main result is that a Hopf bifurcation occurs for global coupling and this motion is transferred to the stable motion for strong global coupling.
Keywords
reaction-diffusion; global coupling; free boundary problem; Hopf bifurcation;
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