Traveling Waves in a Nonlocal Dispersal SIR Model with Standard Incidence Rate and Nonlocal Delayed Transmission

被引：4
|
作者：
Wu, Kuilin [1 ]
Zhou, Kai [2 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Chizhou Univ, Sch Math & Comp, Chizhou 247000, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 07期
基金：
中国国家自然科学基金;
关键词：
SIR model; nonlocal dispersal; traveling wave solutions; nonlocal delayed transmission; Schauder's fixed point theorem; MCKENDRICK EPIDEMIC MODEL; NONLINEAR INCIDENCE RATE; DIFFUSION; EQUATION; SYSTEMS; SPEED;
D O I：
10.3390/math7070641
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the traveling wave solutions for a nonlocal dispersal SIR epidemic model with standard incidence rate and nonlocal delayed transmission. The existence and nonexistence of traveling wave solutions are determined by the basic reproduction number of the corresponding reaction system and the minimal wave speed. To prove these results, we apply the Schauder's fixed point theorem and two-sided Laplace transform. The main difficulties are that the complexity of the incidence rate in the epidemic model and the lack of regularity for nonlocal dispersal operator.
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页数：22
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