Existence of traveling waves with the critical speed for a discrete diffusive epidemic model

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• 作者：Chin-Chin Wu ^{chin@email.nchu.edu.tw" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 34K10 ; 34C37 ; secondary ; 92D25 ; 46N60
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：5 January 2017
• 年：2017
• 卷：262
• 期：1
• 页码：272-282
• 全文大小：242 K

文摘

We study the traveling wave solutions for a discrete diffusive epidemic model of classical Kermack–McKendrik type. The existence of traveling waves with super-critical speeds are well-known. By a delicate analysis of traveling waves with super-critical speeds, we derive the existence of traveling waves with the critical speed.