Traveling wave solutions in a delayed diffusive competition system

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• 作者：Kun Li^a ; ^{kli@mail.bnu.edu.cn} ; Xiong Li^b ; ^{xli@bnu.edu.cn}
• 关键词：35K57 ; 35B40 ; 34K10
• 刊名：Nonlinear Analysis
• 出版年：2012
• 出版时间：June, 2012
• 年：2012
• 卷：75
• 期：9
• 页码：3705-3722
• 全文大小：316 K

文摘

In this paper we first investigate the existence of traveling wave fronts in a delayed diffusive competition system by constructing a pair of upper and lower solutions. Then we consider the asymptotic behavior of traveling wave solutions at the minus/plus infinity by means of the bilateral Laplace transform. Finally, the monotonicity and uniqueness (up to the translation) of traveling wave solutions are also obtained by the strong comparison principle and the sliding method.