Stability of traveling wave solutions for a spatially discrete SIS epidemic model

被引：6
|
作者：
Hsu, Cheng-Hsiung [1 ]
Lin, Jian-Jhong [2 ]
机构：
[1] Natl Cent Univ, Dept Math, Taoyuan 32001, Taiwan
[2] Natl Taipei Univ Technol, Gen Educ Ctr, Taipei 10608, Taiwan
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 02期
关键词：
Traveling wave solutions; Weighted energy method; Comparison principle; DIFFERENTIAL-EQUATION; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; SPREADING SPEED; FRONTS; PROPAGATION; UNIQUENESS; EXISTENCE; FAILURE;
D O I：
10.1007/s00033-019-1107-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the stability of traveling wave solutions for a spatially discrete SIS epidemic model. We investigate the problem by using the weighted energy method and comparison principles for the Cauchy problem and initial-boundary value problem of the lattice differential equations. Our main results show that any solution of the Cauchy problem for the SIS model converges exponentially to the traveling wave solution provided that the initial perturbation around the traveling wave solution belongs to a suitable weighted Banach space.
引用
收藏
页数：19
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