کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1900246 1045289 2012 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Random perturbations of reaction–diffusion waves in biology
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات زمین شناسی
پیش نمایش صفحه اول مقاله
Random perturbations of reaction–diffusion waves in biology
چکیده انگلیسی

This paper considers the statistical properties of the traveling wave fronts of the scalar FitzHugh–Nagumo equation with random perturbations by two-parameter white noise ut=uxx+f(u)+εWxtut=uxx+f(u)+εWxt on the whole real line ℛℛ, where the traveling wave front connects two stable equilibria u=0u=0 and u=1u=1 of the reaction function f(u)f(u). As well as the method of Green’s function established by Tuckwell on a bounded domain, we get the asymptotic fluctuation behavior of two stable states which are two boundaries of the traveling wave front to the Nagumo equation by the fundamental solution. That is, the perturbations about the lower (upper) stable state reveal that the mean is increased (decreased) by zero mean white noise as t→+∞t→+∞.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Wave Motion - Volume 49, Issue 7, November 2012, Pages 632–637
نویسندگان
, ,