具有接种和非局部扩散的流行病模型的行波解

doi:10.13371/j.cnki.chin.q.j.m.2015.02.017

数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 287-299.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.017

具有接种和非局部扩散的流行病模型的行波解

Department of Basic Courses, Shijiazhuang Mechanical Engineering College

收稿日期:2013-12-10 出版日期:2015-06-30 发布日期:2020-11-23
作者简介:WANG Zhi-ping(1981-), female, native of Hengshui, Hebei, a lecturer of Shijiazhuang Mechanical Engineering College, M.S.D., engages in dynamical system; XU Rui(1962-), male, native of Zhangjiakou, Hebei, a professor of Shijiazhuang Mechanical Engineering College, Ph.D., engages in dynamical system.
基金资助:
Supported by the National Natural Science Foundation of China(11371368)； Supported by the Natural Science Foundation of Hebei Province(A2013506012)； Supported by the Foundation of Shijiazhuang Mechanical Engineering College(JCB1201,YJJXM13008)；

Traveling Waves for an Epidemic Model with Vaccination and Nonlocal Diffusion

Department of Basic Courses, Shijiazhuang Mechanical Engineering College

Received:2013-12-10 Online:2015-06-30 Published:2020-11-23
About author:WANG Zhi-ping(1981-), female, native of Hengshui, Hebei, a lecturer of Shijiazhuang Mechanical Engineering College, M.S.D., engages in dynamical system; XU Rui(1962-), male, native of Zhangjiakou, Hebei, a professor of Shijiazhuang Mechanical Engineering College, Ph.D., engages in dynamical system.
Supported by:
Supported by the National Natural Science Foundation of China(11371368)； Supported by the Natural Science Foundation of Hebei Province(A2013506012)； Supported by the Foundation of Shijiazhuang Mechanical Engineering College(JCB1201,YJJXM13008)；

摘要/Abstract

摘要： An epidemic model with vaccination and nonlocal diffusion is proposed, and the existence of traveling wave solutions of this model is studied. By the cross-iteration scheme companied with a pair of upper and lower solutions and Schauder’s fixed point theorem,sufficient conditions are obtained for the existence of a traveling wave solution connecting the disease-free steady state and the endemic steady state.

关键词: vaccination, traveling wave solution, nonlocal diffusion, upper-lower solutions

Abstract: An epidemic model with vaccination and nonlocal diffusion is proposed, and the existence of traveling wave solutions of this model is studied. By the cross-iteration scheme companied with a pair of upper and lower solutions and Schauder’s fixed point theorem,sufficient conditions are obtained for the existence of a traveling wave solution connecting the disease-free steady state and the endemic steady state.

Key words: vaccination, traveling wave solution, nonlocal diffusion, upper-lower solutions

中图分类号:

O175

王志平, 徐瑞, 张世华. 具有接种和非局部扩散的流行病模型的行波解[J]. 数学季刊, 2015, 30(2): 287-299.

WANG Zhi-ping, XU Rui, ZHANG Shi-hua. Traveling Waves for an Epidemic Model with Vaccination and Nonlocal Diffusion[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 287-299.

[1]	赵包, 杨赟瑞, 马竹艳. 非局部时滞传染病模型的行波解[J]. 数学季刊, 2020, 35(4): 331-343.
[2]	高建忠, 张太雷. 一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析[J]. 数学季刊, 2019, 34(1): 75-87.
[3]	康瑞妮, 张太雷, 刘俊利. 一类具有接种和时滞的非自治捕食-食饵的SIR传染病模型[J]. 数学季刊, 2015, 30(3): 450-461.
[4]	王乐乐, 张昭. 隔离-免疫-治疗模型的双重近似算法[J]. 数学季刊, 2013, 28(1): 99-104.
[5]	张秀全, 赵中. 一类带有时滞和脉冲接种具有不同传染性SIR传染病模型动力学性质的研究[J]. 数学季刊, 2010, 25(2): 228-235.
[6]	郭淑利, 丁凤霞. 一类带有种痘年龄的流行病模型[J]. 数学季刊, 2006, 21(4): 545-552.

具有接种和非局部扩散的流行病模型的行波解

Traveling Waves for an Epidemic Model with Vaccination and Nonlocal Diffusion

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 6

编辑推荐

Metrics

本文评价