Fisher waves in an epidemic model

Xiao-Qiang Zhao; Wendi Wang

doi:10.3934/dcdsb.2004.4.1117

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2004, Volume 4, Issue 4: 1117-1128. Doi: 10.3934/dcdsb.2004.4.1117

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Fisher waves in an epidemic model

Xiao-Qiang Zhao^1, and
Wendi Wang^2,

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

Received: January 2003

Revised: December 2003

Published: November 2004

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Abstract

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.

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Mathematics Subject Classification: 35K57, 92D30.

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