Existence of traveling waves with the critical speed for a discrete diffusive epidemic model

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:262

Article

Wu, Chin-Chin¹ 

[1] Natl Chung Hsing Univ, Dept Appl Math, 145 Xingda Rd, Taichung 402, Taiwan

关键词: Epidemic model;    Lattice dynamical system;    Traveling wave;   

DOI  :  10.1016/j.jde.2016.09.022

来源: Elsevier

【 摘 要 】

We study the traveling wave solutions for a discrete diffusive epidemic model of classical Kermack McKendrik type. The existence of traveling waves with super-critical speeds are well-known. By a delicate analysis of traveling waves with super-critical speeds, we derive the existence of traveling waves with the critical speed. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free