Traveling waves in a delayed SIR epidemic model with nonlinear incidence

作者：

Highlights：

• We study the traveling waves of a diffusive SIR epidemic model with a general nonlinear incidence.

• We obtain the threshold dynamics for spatial spread of the disease.

• We show that c* is the minimum wave speed for the existence of traveling wave solutions.

摘要

•We study the traveling waves of a diffusive SIR epidemic model with a general nonlinear incidence.•We obtain the threshold dynamics for spatial spread of the disease.•We show that c* is the minimum wave speed for the existence of traveling wave solutions.

论文关键词：Traveling wave solution,SIR model,Nonlinear incidence,Time delay

论文评审过程：Received 2 August 2014, Revised 18 December 2014, Accepted 11 April 2015, Available online 21 May 2015, Version of Record 21 May 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.04.048