Nonlinear stability of traveling waves for a multi-type SIS epidemic model

被引：3

作者：

Li, Mengqi ^{[1
]}

Weng, Peixuan ^{[1
]}

Yang, Yong ^{[2
]}

机构：

[1] South China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

[2] Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 01期

关键词：

Multi-type; SIS epidemic model; exponential stability; large wave speed; NICHOLSONS BLOWFLIES EQUATION; REACTION-DIFFUSION EQUATIONS; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FRONT SOLUTIONS; EXISTENCE;

D O I：

10.1142/S1793524518500031

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The nonlinear stability of traveling waves for a multi-type SIS epidemic model is investigated in this paper. By using the comparison principle together with the weighted energy function, we obtain the exponential stability of traveling wavefront with large wave speed. The initial perturbation around the traveling wavefront decays exponentially as x -> -infinity, but it can be arbitrarily large in other locations.

引用

页数：20

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