文章基本信息

标题：Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity
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作者：Fuzhen Wu
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2019
卷号：2019
页码：1-9
DOI：10.1155/2019/1950767
出版社：Hindawi Publishing Corporation
摘要：This paper deals with the minimal wave speed of delayed lattice dynamical systems without monotonicity in the sense of standard partial ordering in . By constructing upper and lower solutions appealing to the exponential ordering, we prove the existence of traveling wave solutions if the wave speed is not smaller than some threshold. The nonexistence of traveling wave solutions is obtained when the wave speed is smaller than the threshold. Therefore, we confirm the threshold is the minimal wave speed, which completes the known results.