Minimal wave speed of a diffusive SIR epidemic model with nonlocal delay

被引：0

作者：

Wu, Fuzhen ^{[1
]}

Li, Dongfeng ^{[2
]}

机构：

[1] Zhejiang Univ Water Resources & Elect Power, Dept Basic, Hangzhou 310018, Zhejiang, Peoples R China

[2] Zhejiang Univ Water Resources & Elect Power, Coll Hydraul & Environm Engn, Hangzhou 310018, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 07期

关键词：

Upper-lower solutions; asymptotic spreading; nonmonotone system; NONLINEAR INCIDENCE RATE; TRAVELING-WAVES; ASYMPTOTIC SPEEDS; SYSTEMS; SPREAD; FRONTS; DISPERSAL; PROPAGATION; STABILITY; INVASION;

D O I：

10.1142/S1793524519500815

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is concerned with the minimal wave speed in a diffusive epidemic model with nonlocal delays. We define a threshold. By presenting the existence and the nonexistence of traveling wave solutions for all positive wave speed, we confirm that the threshold is the minimal wave speed of traveling wave solutions, which models that the infective invades the habitat of the susceptible. For some cases, it is proven that spatial nonlocality may increase the propagation threshold while time delay decreases the threshold.

引用

页数：19

共 50 条

[21] Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay
Bai, Zhenguo
Zhang, Shengli
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 1370 - 1381
[22] TRAVELING WAVES OF A DELAYED DIFFUSIVE SIR EPIDEMIC MODEL
Li, Yan
Li, Wan-Tong
Lin, Guo
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (03) : 1001 - 1022
[23] Wave propagation in a diffusive SEIR epidemic model with nonlocal reaction and standard incidence rate
Wu, Xin
Tian, Baochuan
Yuan, Rong
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 8136 - 8160
[24] 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
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 55
[25] Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence
Wu, Weixin
Teng, Zhidong
ACTA APPLICANDAE MATHEMATICAE, 2021, 175 (01)
[26] Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence
Weixin Wu
Zhidong Teng
Acta Applicandae Mathematicae, 2021, 175
[27] Traveling waves in nonlocal dispersal SIR epidemic model with nonlinear incidence and distributed latent delay
Weixin Wu
Zhidong Teng
Advances in Difference Equations, 2020
[28] Traveling waves in nonlocal dispersal SIR epidemic model with nonlinear incidence and distributed latent delay
Wu, Weixin
Teng, Zhidong
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[29] An SIR epidemic model with nonlocal diffusion, nonlocal infection and free boundaries
Yang, Guoying
Yao, Shaowen
Wang, Mingxin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 518 (02)
[30] Traveling Wave Solution with the Critical Speed for a Diffusive Epidemic System with Spatio-Temporal Delay
Zaili Zhen
Jingdong Wei
Jiangbo Zhou
Minjie Dong
Lixin Tian
Qualitative Theory of Dynamical Systems, 2022, 21

← 1 2 3 4 5 →