TRAVELING WAVE SOLUTIONS OF A NONLOCAL DELAYED SIR MODEL WITHOUT OUTBREAK THRESHOLD

被引：49
|
作者：
Li, Wan-Tong [1 ]
Lin, Guo [1 ]
Ma, Cong [1 ]
Yang, Fei-Ying [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2014年 / 19卷 / 02期
关键词：
REACTION-DIFFUSION-SYSTEMS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ASYMPTOTIC SPEEDS; FRONTS; EXISTENCE; SPREAD; STABILITY;
D O I：
10.3934/dcdsb.2014.19.467
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the traveling wave solutions of a diffusive SIR system with nonlocal delay. We obtain the existence and nonexistence of traveling wave solutions, which formulate the propagation of disease without outbreak threshold. Moreover, it is proved that at any fixed moment, the faster the disease spreads, the more the infected individuals, and the larger the recovery/remove ratio is, the less the infected individuals.
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页码：467 / 484
页数：18
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