کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838030 | 908353 | 2011 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Traveling waves in a convolution model with infinite distributed delay and non-monotonicity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Traveling waves in a convolution model with infinite distributed delay and non-monotonicity Traveling waves in a convolution model with infinite distributed delay and non-monotonicity](/preview/png/838030.png)
چکیده انگلیسی
In this paper, we study a population model with nonlocal diffusion and a non-monotonic reaction term with infinite distributed delay. Some existence results of traveling wavefronts for the system with a monotonic reaction term are firstly obtained by the construction of upper-lower solutions and the application of Schauder’s fixed point theorem. Then by constructing a couple of auxiliary equations with monotonicity and using the comparison method, we prove the existence of traveling waves for the system without monotonicity. We also give some discussion on the asymptotic behavior of the traveling waves as ξ=x+ct→−∞ξ=x+ct→−∞.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 1, February 2011, Pages 633–647
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 1, February 2011, Pages 633–647
نویسندگان
Zhaoquan Xu, Peixuan Weng,