Traveling Wave Solutions of Nonlocal Delay Reaction-diffusion Equations without Local Quasimonotonicity
نویسنده
چکیده
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.
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