Guo-Bao Zhang, Ruyun Ma
Abstract:
This article concerns the bistable traveling wavefronts of a
nonlocal dispersal equation with convolution type bistable
nonlinearity. Applying a homotopy method, we establish the existence
of traveling wavefronts. If the wave speed does not vanish, i.e.
,
then the uniqueness (up to translation) and the globally
asymptotical stability of traveling wavefronts are proved by the
comparison principle and squeezing technique.
Submitted August 8, 2014. Published June 6, 2015.
Math Subject Classifications: 35K57, 35R20, 92D25.
Key Words: Nonlocal dispersal; traveling wavefronts; bistable nonlinearity;
continuation method; squeezing technique.
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Guo-Bao Zhang College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China email: zhanggb2011@nwnu.edu.cn |
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Ruyun Ma College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China email: mary@nwnu.edu.cn |
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