Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 32, Issue 9, Pages 3303-3324Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2012.32.3303
Keywords
Traveling waves; SIR model; Schauder fixed point theorem; Laplace transform
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Funding
- Natural Sciences and Engineering Research Council of Canada
- Canada Research Chairs program
- Centre for Disease Modelling
- International Development and Research Centre
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We study the traveling waves of reaction-diffusion equations for a diffusive SIR model. The existence of traveling waves is determined by the basic reproduction number of the corresponding ordinary differential equations and the minimal wave speed. Our proof is based on Schauder fixed point theorem and Laplace transform.
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