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January  2010, 13(1): 157-174. doi: 10.3934/dcdsb.2010.13.157

Existence of traveling wave solutions for a nonlocal reaction-diffusion model of influenza a drift

Joaquin Riviera 1, and  Yi Li 2,

1. 

Department of Mathematics, Colgate University, Hamilton, NY 13346, United States
2. 

Department of Mathematics, The University of Iowa, Iowa City, IA 52242

Received  November 2008 Revised  July 2009 Published  October 2009

In this paper we discuss the existence of traveling wave solutions for a nonlocal reaction-diffusion model of Influenza A proposed in Lin et. al. (2003). The proof for the existence of the traveling wave takes advantage of the different time scales between the evolution of the disease and the progress of the disease in the population. Under this framework we are able to use the techniques from geometric singular perturbation theory to prove the existence of the traveling wave.
Keywords: multifractal analysis., Poincaré recurrences, Dimension theory.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C3.
Citation: Joaquin Riviera, Yi Li. Existence of traveling wave solutions for a nonlocal reaction-diffusion model of influenza a drift. Discrete and Continuous Dynamical Systems - B, 2010, 13 (1) : 157-174. doi: 10.3934/dcdsb.2010.13.157
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