Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (5): 1561-1566.doi: 10.1016/S0252-9602(10)60149-X

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REMARK ON CRITICAL SPEED OF TRAVELING WAVEFRONTS FOR NICHOLSON'S BLOWFLIES EQUATION WITH DIFFUSION

 WEI De, WU Jiao-Yu, MEI Ming   

  1. Department of Information and Computation, Nanchang Hangkong University, Nanchang 330068, China|School of Computer Engineering and Technology, Guangdong Institute of Science and Technology, Guangzhou 510640, China|Department of Mathematics, Champlain College Saint-Lambert, Saint-Lambert, Quebec, J4P 3P2, Canada  Department of Mathematics and Statistics, McGill University, Montreal |H3G 1M8, Canada
  • Received:2008-06-06 Online:2010-09-20 Published:2010-09-20
  • Supported by:

    The work was supported  by Natural Sciences and Engineering Research Council of Canada under the  NSERC grant RGPIN 354724-08.

Abstract:

This note is devoted to the study on the traveling wavefronts to the Nicholson's blowflies equation with diffusion, a time-delayed reaction-diffusion equation. For the critical speed of traveling waves, we give a detailed analysis on its location and asymptotic behavior with respect to the mature age.

Key words: Nicholsons blowflies equation, traveling wavefronts, critical wave-speed

CLC Number: 

  • 35R10
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