Stability of traveling wavefronts for time-delayed reaction-diffusion equations
Ming Mei - Department of Mathematics, Champlain College Saint-Lambert, Saint-Lambert, Quebec, J4P 3P2, Canada (email)
Abstract: 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: traveling wavefronts, stability, time-delayed reaction diffusion equations, Nicolson's blowflies equation
Received: June 2008; Revised: April 2009; Published: September 2009.