Traveling Waves for a Discrete Diffusion Epidemic Model with Delay

被引：4
|
作者：
Wei, Jingdong [1 ]
Zhen, Zaili [1 ]
Zhou, Jiangbo [1 ]
Tian, Lixin [1 ]
机构：
[1] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2021年 / 25卷 / 04期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
discrete diffusion; epidemic model; latent period; super-/sub-solutions method; minimal speed; DISPERSAL SIR MODEL; NONLINEAR INCIDENCE; EXISTENCE; PROPAGATION; UNIQUENESS;
D O I：
10.11650/tjm/201209
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with traveling wave solutions in a discrete diffusion epidemic model with delayed transmission. Employing the way of contradictory discussions and the bilateral Laplace transform, we obtain the nonexistence of nontrivial positive bounded traveling wave solutions. Utilizing the super-/sub-solutions method and the fixed point theory, we derive the existence of nontrivial positive traveling wave solutions with both super-critical and critical speeds. Our results indicate that the critical speed is the minimal speed.
引用
收藏
页码：831 / 866
页数：36
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