4.4 Article

Fisher waves in an epidemic model

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume 4, Issue 4, Pages 1117-1128

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2004.4.1117

Keywords

epidemic model; traveling waves; upper and lower solutions; monotone iterations

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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.

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