期刊
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
卷 140, 期 -, 页码 135-152出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0308210508000784
关键词
-
资金
- National Science Council of Taiwan [95-2115-M-009-MY3]
- Natural Sciences and Engineering Research Council of Canada, under NSERC [RGPIN 354724-08]
This paper is devoted to the study of Nicholson's blowflies equation with diffusion: a kind of time-delayed reaction diffusion. For any travelling wavefront with speed c > c* (c* is the minimum wave speed), we prove that the wavefront is time-asymptotically stable when the delay-time is sufficiently small, and the initial perturbation around the wavefront decays to zero exponentially in space as x -> -infinity, but it can be large in other locations. The result develops and improves the previous wave stability obtained by Mei et al. in 2004. The new approach developed in this paper is the comparison principle combined with the technical weighted-energy method. Numerical simulations are also carried out to confirm our theoretical results.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据