TRAVELING WAVE SOLUTIONS OF NONLOCAL DELAY REACTION-DIFFUSION EQUATIONS WITHOUT LOCAL QUASIMONOTONICITY

被引：0

作者：

Pan, Shuxia ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

LIMITED POPULATION-MODEL; ASYMPTOTIC SPEEDS; FRONTS; SYSTEMS; STABILITY; EXISTENCE; SPREAD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

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