Asymptotic speed of propagation and traveling wavefronts for a SIR epidemic model

Chufen Wu; Peixuan Weng

doi:10.3934/dcdsb.2011.15.867

Article Contents

2011, Volume 15, Issue 3: 867-892. Doi: 10.3934/dcdsb.2011.15.867

This issue Previous Article Stability of positive constant steady states and their bifurcation in a biological depletion model Next Article Long time behavior of some epidemic models

Asymptotic speed of propagation and traveling wavefronts for a SIR epidemic model

Chufen Wu^1, and
Peixuan Weng^1,

1.
School of Mathematics, South China Normal University, Guangzhou 510631

Received: January 2010

Revised: August 2010

Published: October 2011

Abstract / Introduction Related Papers Cited by

Abstract

In this article, the well-posedness of the initial value problem, the existence of traveling wavefronts and the asymptotic speed of propagation for a SIR epidemic model with stage structure and nonlocal response are studied. We further show that the minimum wave speed in fact coincides with the asymptotic speed of propagation.

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Mathematics Subject Classification: Primary: 35K57, 37B40; Secondary: 92D30.

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