Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission

被引：17
|
作者：
Wang, Shuang-Ming [1 ]
Feng, Zhaosheng [2 ]
Wang, Zhi-Cheng [1 ]
Zhang, Liang [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730020, Gansu, Peoples R China
[2] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 55卷
关键词：
Kermack-Mckendrick model; Traveling waves; Delay; Nonlocal interaction; Basic reproduction number; Maximum principle; DYNAMICS; SEASONALITY; PROPAGATION; DISEASE; SPEEDS;
D O I：
10.1016/j.nonrwa.2020.103117
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to the time periodic traveling wave phenomena of a generalization of the classical Kermack-McKendrick model with seasonality and nonlocal interaction derived by mobility of individuals during latent period of disease. When the basic reproduction number R-0 is bigger than 1, we find a critical value c* and prove the existence of periodic traveling waves with the wave speed c > c*. When R-0 is less than 1, we show that there is no periodic traveling wave with any wave speed c >= 0. In addition, the influences of length of latency and seasonal factor on the critical value c* is explored by numerical simulations. Some novel epidemiological insights and biological interpretation are provided. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：27
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