Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model

被引：0
|
作者：
Yueling Cheng
Dianchen Lu
Jiangbo Zhou
Jingdong Wei
机构：
[1] Jiangsu University,Faculty of Science
来源：
Advances in Difference Equations | / 2019卷
关键词：
SIR epidemic model; Upper and lower solutions; Critical traveling wave;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence of a critical traveling wave solution for a delayed diffusive SIR epidemic model with saturated incidence. Moreover, we establish the nonexistence of traveling wave solutions with nonpositive wave speed for this model. Our results solve some open problems left in the recent paper (Z. Xu in Nonlinear Anal. 111:66–81, 2014).
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