Fisher waves in an epidemic model

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November 2004, 4(4): 1117-1128. doi: 10.3934/dcdsb.2004.4.1117

Fisher waves in an epidemic model

1.	Department of Mathematics and Statistics, Memorial University of Newfoundland, St. Johns, NF A1C 5S7, Canada
2.	Department of Mathematics, Southwest Normal University, Chongqing, 400715

Received January 2003 Revised December 2003 Published August 2004

Abstract
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The existence of Fisher type monotone traveling waves and the minimal wave speed are established for a reaction-diffusion system modeling man-environment-man epidemics via the method of upper and lower solutions as applied to a reduced second order ordinary differential equation with infinite time delay.

Keywords: monotone iterations., traveling waves, Epidemic model, upper and lower solutions.

Mathematics Subject Classification: 35K57, 92D3.

Citation: Xiao-Qiang Zhao, Wendi Wang. Fisher waves in an epidemic model. Discrete & Continuous Dynamical Systems - B, 2004, 4 (4) : 1117-1128. doi: 10.3934/dcdsb.2004.4.1117

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