Existence of traveling wave solutions for influenza model with treatment

被引：52
|
作者：
Zhang, Tianran [1 ]
Wang, Wendi [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 419卷 / 01期
关键词：
Minimal wave speed; Schauder's fixed point theorem; Two-sided Laplace transform; Exponential decay; Auxiliary system; EPIDEMIC MODEL; PANDEMIC INFLUENZA; MONOSTABLE EQUATIONS; ANTIVIRAL TREATMENT; TRANSMISSION; DIFFUSION; SPREAD; VACCINATION; DYNAMICS; SYSTEMS;
D O I：
10.1016/j.jmaa.2014.04.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
To investigate the spreading speed of influenza and the influence of treatment on the spreading speed, a reaction diffusion influenza model with treatment is established. The existence of traveling wave solutions is shown by introducing an auxiliary system and applying the Schauder fixed point theorem. The nonexistence of traveling wave solutions is proved by a two-sided Laplace transform, which needs a new approach for the prior estimate of exponential decay of traveling wave solutions. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：469 / 495
页数：27
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