A Nonlocal Eigenvalue Problem and the Stability of Spikes for Reaction–Diffusion Systems with Fractional Reaction Rates
نویسندگان
چکیده
منابع مشابه
A Nonlocal Eigenvalue Problem and the Stability of Spikes for Reaction-diffusion Systems with fractional Reaction Rates
We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel’kov model, the Gray-Scott system, the hypercycle Eigen and Schuster, angiogenesis, and the generalized Gierer-Meinhardt system. We give some sufficient and explicit conditions for stability by studying the corresponding...
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We present three examples of delayed bifurcations for spike solutions of reaction-diffusion systems. The delay effect results as the system passes slowly from a stable to an unstable regime, and was previously analyzed in the context of ODE’s in [P.Mandel and T.Erneux, J.Stat.Phys 48(5-6) pp.1059-1070, 1987]. It was found that the instability would not be fully realized until the system had ent...
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2003
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127403007369