一类具有非线性发生率与时滞的非局部扩散SIR模型的行波解

被引：3
作者：
邹霞
吴事良
机构：
[1] 西安电子科技大学数学与统计学院
来源：
数学物理学报 | 2018年 / 38卷 / 03期
关键词：
非局部扩散; 行波解; SIR模型; Schauder不动点定理;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
该文研究了一类具有非线性发生率与时滞的非局部扩散SIR传染病模型的行波解问题.利用基本再生数R0和最小波速c*判定行波解的存在与否.首先,当c>c*,R0>1时,通过对一个截断问题使用Schauder不动点定理以及取极限的方法证明了所研究模型的行波解的存在性,其次,当0*,R0>1或R0≤1时,利用双边拉普拉斯变换的性质证明了行波解的不存在性.
引用
收藏
页码：496 / 513
页数：18
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