Critical traveling waves in a diffusive disease model

被引：20

作者：

Zhou, Jiangbo ^{[1
]}

Song, Liyuan ^{[1
]}

Wei, Jingdong ^{[1
]}

Xu, Haimei ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 476卷 / 02期

关键词：

Diffusive disease model; Critical traveling wave; Reaction-diffusion equation; MCKENDRICK EPIDEMIC MODEL; SIR MODEL; EXISTENCE; SPEED; SPREAD;

D O I：

10.1016/j.jmaa.2019.03.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of a non-trivial, positive and bounded critical traveling wave solution of a diffusive disease model, whose reaction system has infinitely many equilibria, is obtained for the first time. This gives an affirmative answer to an open problem left in Wang et al. (2012) [19]. Our result shows that the critical traveling wave in this model is a mix of front (S-component) and pulse (I-component) type. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：522 / 538

页数：17

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