Traveling Waves of Diffusive Predator-prey Systems: Disease Outbreak Propagation
نویسندگان
چکیده
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.
منابع مشابه
Traveling waves in a diffusive predator–prey model with holling type-III functional response
We establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator–prey model with Holling type-III functional response. The analysis is in the three-dimensional phase space of the nonlinear ordinary differential equation system given by the diffusive predator– prey system in the traveling wave variable. ...
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Article history: Received 21 September 2010 Revised 18 October 2011 Available online 30 November 2011
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