Super-critical and critical traveling waves in a three-component delayed disease system with mixed diffusion

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:367

Article

Wei, Jingdong¹  Zhou, Jiangbo¹  Zhen, Zaili¹  Tian, Lixin¹ 

[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China

关键词: Three-component disease system;    Time delay;    Mixed diffusion;    Traveling waves;   

DOI  :  10.1016/j.cam.2019.112451

来源: Elsevier

【 摘 要 】

This paper deals with traveling waves of a three-component delayed disease system with mixed diffusion. When the basic reproduction number of the corresponding spatialhomogenous delayed differential system R-0 > 1 and the wave velocity c >= c* (c* is critical velocity), we obtain that the system admits a positive traveling wave solution. When R-0 <= 1 and c is an element of R or R-0 > 1 and c < c*, we prove that the system has no positive traveling wave solutions. Our theoretical results may be conducive to disease prevention and control. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free