کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613489 1338753 2007 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Traveling wave fronts for generalized Fisher equations with spatio-temporal delays
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Traveling wave fronts for generalized Fisher equations with spatio-temporal delays
چکیده انگلیسی

We study the existence of traveling wave fronts for a reaction–diffusion equation with spatio-temporal delays and small parameters. The equation reduces to a generalized Fisher equation if small parameters are zero. We present two results. In the first one, we deal with the equation with very general kernels and show the persistence of Fisher wave fronts for all sufficiently small parameters. In the second one, we deal with some particular kernels, with which the nonlocal equation can be reduced to a system of singularly perturbed ODEs, and we are then able to apply the geometric singular perturbation theory and phase plane arguments to this system to show the existence of the minimal wave speed, the existence of a continuum of wave fronts, and the global uniqueness of the physical wave front with each wave speed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 232, Issue 1, 1 January 2007, Pages 104-133