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2009, 2009(Special): 526-535. doi: 10.3934/proc.2009.2009.526

Stability of traveling wavefronts for time-delayed reaction-diffusion equations

Ming Mei 1,

1. 

Department of Mathematics, Champlain College Saint-Lambert, Saint-Lambert, Quebec, J4P 3P2

Received  June 2008 Revised  April 2009 Published  September 2009

This paper is concerned with time-delayed reaction-diffusion equations. For all traveling wavefronts, they are proved to be stable time-asymptotically by the technical weighted energy method with the comparison principle together, which extends the wave stability results obtained in [7,8]. Some numerical simulations are also carried out, which confirm our theoretical results.
Keywords: time-delayed reaction diffusion equations, stability, traveling wavefronts, Nicolson's blowflies equation.
Mathematics Subject Classification: Primary: 35K57; Secondary: 34K20, 92D25.
Citation: Ming Mei. Stability of traveling wavefronts for time-delayed reaction-diffusion equations. Conference Publications, 2009, 2009 (Special) : 526-535. doi: 10.3934/proc.2009.2009.526
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