西北师范大学学报（自然科学版）2024，Vol.60Issue(1)：20-29,10.DOI:10.16783/j.cnki.nwnuz.2024.01.005
具有饱和恢复率的SEIR时滞模型的行波解
Traveling wave solutions for a delayed SEIR model with saturated recovery rate
卫珍妮1
作者信息
- 1. 西安电子科技大学 数学与统计学院,陕西 西安 710071
- 折叠
摘要
Abstract
The traveling wave solutions are discussed for a delayed SEIR epidemic model with saturated recovery rate.Firstly,the well-posedness of the initial value problem for a class of two-dimensional system is considered.Then by constructing the bounded vector-value upper-lower solutions,a closed convex set is obtained.Finally,the existence of nontrivial traveling wave solutions is proved for basic reproduction number R0>1,wave velocity c>c* by applying the Schauder's fixed point theorem.关键词
SEIR模型/饱和恢复率/时滞/行波解/Schauder不动点定理Key words
SEIR model/saturated recovery rate/time delay/traveling wave solution/Schauder's fixed point theorem分类
数理科学引用本文复制引用
卫珍妮..具有饱和恢复率的SEIR时滞模型的行波解[J].西北师范大学学报（自然科学版）,2024,60(1):20-29,10.
