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Existence of travelling waves with the critical speed for an influenza model with treatment

Part of: Partial differential equations Representations of solutions Parabolic equations and systems Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  07 January 2019

DONG DENG  and
DONGPEI ZHANG
DONG DENG*
Affiliation:
Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China e-mails: dd0328a@163.com; zhangdpscu@163.com
DONGPEI ZHANG
Affiliation:
Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China e-mails: dd0328a@163.com; zhangdpscu@163.com
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Abstract

The main purpose of this paper is to study the existence of travelling waves with a critical speed for an influenza model with treatment. By using some analysis techniques that involve super-critical speeds and an approximation method, the existence of travelling waves with the critical speed is proved.

Keywords

Travelling wavesinfluenza modelcritical wave speed

MSC classification

Primary: 35A20: Analytic methods, singularities
Secondary: 35C07: Traveling wave solutions 35K57: Reaction-diffusion equations 35Q92: PDEs in connection with biology and other natural sciences
Type
Papers
Information
European Journal of Applied Mathematics , Volume 31 , Issue 2 , April 2020 , pp. 232 - 245
Copyright
© Cambridge University Press 2019 

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Footnotes

This research did not receive any specific grant from funding agencies in the public, commercial or not-for-profit sectors.

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