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.
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页数：19
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