Existence, uniqueness and stability of traveling wavefronts for nonlocal dispersal equations with convolution type bistable nonlinearity
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. $c\neq 0$, then the uniqueness (up to tran...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/144/abstr.html |
| Summary: | 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.
$c\neq 0$, then the uniqueness (up to translation) and the globally
asymptotical stability of traveling wavefronts are proved by the
comparison principle and squeezing technique. |
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| ISSN: | 1072-6691 |