American Institute of Mathematical Sciences

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November  2005, 5(4): 1043-1056. doi: 10.3934/dcdsb.2005.5.1043

Asymptotic speed of spread and traveling waves for a nonlocal epidemic model

Dashun Xu 1, and  Xiao-Qiang Zhao 2,

1. 

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF A1C 5S7, Canada
2. 

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. Johns, NF A1C 5S7

Received  December 2004 Revised  July 2005 Published  August 2005

By applying the theory of asymptotic speeds of spread and traveling waves to a nonlocal epidemic model, we established the existence of minimal wave speed for monotone traveling waves, and show that it coincides with the spreading speed for solutions with initial functions having compact supports. The numerical simulations are also presented.
Keywords: traveling waves, Spreading speed, nonlocal epidemic model..
Mathematics Subject Classification: Primary: 35K57, 37B40; Secondary: 92D3.
Citation: Dashun Xu, Xiao-Qiang Zhao. Asymptotic speed of spread and traveling waves for a nonlocal epidemic model. Discrete and Continuous Dynamical Systems - B, 2005, 5 (4) : 1043-1056. doi: 10.3934/dcdsb.2005.5.1043
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