Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model

被引：58

作者：

Wang, Zhi-Cheng ^{[1
]}

Zhang, Liang ^{[1
,2
]}

Zhao, Xiao-Qiang ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2018年 / 30卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Periodic traveling waves; Diffusive SIR model; Time-T map; Schauder fixed point theorem; MONOTONE SEMIFLOWS; SYSTEMS; EQUATIONS; FRONTS; EXISTENCE; INEQUALITIES; STABILITY; SPREAD; SPEEDS;

D O I：

10.1007/s10884-016-9546-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the time periodic traveling wave solutions for a periodic SIR epidemic model with diffusion and standard incidence. We establish the existence of periodic traveling waves by investigating the fixed points of a nonlinear operator defined on an appropriate set of periodic functions. Then we prove the nonexistence of periodic traveling via the comparison arguments combined with the properties of the spreading speed of an associated subsystem.

引用

页码：379 / 403

页数：25

共 50 条

[1] Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model
Zhi-Cheng Wang
Liang Zhang
Xiao-Qiang Zhao
[J]. Journal of Dynamics and Differential Equations, 2018, 30 : 379 - 403
[2] The periodic traveling waves in a diffusive periodic SIR epidemic model with nonlinear incidence
Wu, Weixin
Teng, Zhidong
[J]. CHAOS SOLITONS & FRACTALS, 2021, 144
[3] Critical periodic traveling waves for a periodic and diffusive epidemic model
Zhang, Liang
Wang, Shuang-Ming
[J]. APPLICABLE ANALYSIS, 2021, 100 (10) : 2108 - 2121
[4] Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies
Wu, Weixin
Teng, Zhidong
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 116
[5] SPREADING SPEED AND PERIODIC TRAVELING WAVES OF A TIME PERIODIC AND DIFFUSIVE SI EPIDEMIC MODEL WITH DEMOGRAPHIC STRUCTURE
Wang, Shuang-Ming
Feng, Zhaosheng
Wang, Zhi-Cheng
Zhang, Liang
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (06) : 2005 - 2034
[6] Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission
Wang, Shuang-Ming
Feng, Zhaosheng
Wang, Zhi-Cheng
Zhang, Liang
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 55
[7] TRAVELING WAVES OF A DELAYED DIFFUSIVE SIR EPIDEMIC MODEL
Li, Yan
Li, Wan-Tong
Lin, Guo
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (03) : 1001 - 1022
[8] Damped oscillating traveling waves of a diffusive SIR epidemic model
Li, Yan
Li, Wan-Tong
Lin, Guo
[J]. APPLIED MATHEMATICS LETTERS, 2015, 46 : 89 - 93
[9] Traveling waves for a discrete diffusive SIR epidemic model with treatment
Deng, Dong
Zhang, Dongpei
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
[10] Periodic wave propagation in a diffusive SIR epidemic model with nonlinear incidence and periodic environment
Wu, Weixin
Teng, Zhidong
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (12)

← 1 2 3 4 5 →