Traveling waves of diffusive predator-prey systems: Disease outbreak propagation
Xiang-Sheng Wang - Mprime Centre for Disease Modelling, York Institute for Health Research, Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, M3J 1P3, Canada (email)
Abstract: 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.
Keywords: Traveling waves, SIR model, Schauder fixed point theorem, Laplace transform.
Received: January 2012; Revised: March 2012; Published: April 2012.
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