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

Existence of traveling waves with the critical speed for a discrete diffusive epidemic model
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DOI:
10.1016/j.jde.2016.09.022
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发表时间:
2017-01
影响因子:
2.4
通讯作者:
Chin-Chin Wu-Chin
Chin-Chin Wu-Chin
中科院分区:
数学2区
文献类型:
--
作者:
Chin-Chin Wu-Chin

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研究了一类离散的Kermack-McKendrik型传染病扩散模型的行波解。具有超临界速度的行波的存在是众所周知的。通过对超临界速度行波的细致分析,得到了超临界速度行波的存在性。
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.