کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417275 | 1338677 | 2011 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Wave propagation for a two-component lattice dynamical system arising in strong competition models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Wave propagation for a two-component lattice dynamical system arising in strong competition models Wave propagation for a two-component lattice dynamical system arising in strong competition models](/preview/png/6417275.png)
چکیده انگلیسی
We study a Lotka-Volterra type competition system with bistable nonlinearity in which the habitat is divided into discrete niches. We show that there exist non-monotone stationary solutions when the migration coefficients are sufficiently small. Also, we prove that the propagation failure phenomenon occurs. Finally, we focus on the traveling wave with nonzero wave speed. By investigating the asymptotic behavior of tails of wave profiles, we show that nonzero speed wave profiles are monotone. Moreover, the nonzero wave speed is unique in the sense that the wave cannot propagate with two different nonzero wave speeds.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 250, Issue 8, 15 April 2011, Pages 3504-3533
Journal: Journal of Differential Equations - Volume 250, Issue 8, 15 April 2011, Pages 3504-3533
نویسندگان
Jong-Shenq Guo, Chang-Hong Wu,