Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay |
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| Authors: | Shuxia Pan Wan-Tong Li |
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| Institution: | a Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, People’s Republic of China
b School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People’s Republic of China |
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| Abstract: | This paper is concerned with the existence, asymptotic stability and uniqueness of traveling wavefronts in a nonlocal diffusion equation with delay. By constructing proper upper and lower solutions, the existence and asymptotic behavior of traveling wavefronts are established. Then the asymptotic stability with phase shift as well as the uniqueness up to translation of traveling wavefronts are proved by applying the idea of squeezing technique. |
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| Keywords: | 35K57 35R20 92D25 |
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