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.
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页数：10
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