کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610114 1338545 2015 48 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global attractivity, spreading speeds and traveling waves of delayed nonlocal reaction–diffusion systems
ترجمه فارسی عنوان
جذابیت جهانی، سرعت انتشار و امواج حرکتی از سیستمهای انتشار واکنش غیرخطی تاخیری
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

The purpose of this work is to study the spatial dynamics of some delayed nonlocal reaction–diffusion systems in whole space. We first establish a series of comparison theorems to investigate the global attractivity of the equilibria for a delayed nonlocal reaction–diffusion system with and without quasi-monotonicity. Then we show that the spreading speed of a general system without quasi-monotone conditions is coincident with the minimal wave speed. Applying a fluctuation method, we further provide some sufficient conditions to ensure the upward convergence of the spreading speed and traveling wave solutions. Finally, we point out the effects of the delay and nonlocality on the spreading speed of the non-quasi-monotone systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 258, Issue 4, 15 February 2015, Pages 1058–1105
نویسندگان
, , ,