Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu 730050, China
email: shxpan@yeah.net
Shuxia Pan
Abstract:
This article concerns the traveling wave solutions of nonlocal delay
reaction-diffusion equations without local quasimonotonicity.
The existence of traveling wave solutions is obtained by constructing
upper-lower solutions and passing to a limit function. The nonexistence
of traveling wave solutions is also established by the theory of asymptotic
spreading. The results are applied to a food limit model with nonlocal delays,
which completes and improves some known results.
Submitted July 1, 2013. Published March 7, 2014.
Math Subject Classifications: 35C07, 35K57, 37C65.
Key Words: Minimal wave speed; asymptotic spreading; large delays
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Shuxia Pan Department of Applied Mathematics Lanzhou University of Technology Lanzhou, Gansu 730050, China email: shxpan@yeah.net |
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