SPREADING SPEED AND TRAVELING WAVES FOR A NON-LOCAL DELAYED REACTION-DIFFUSION SYSTEM WITHOUT QUASI-MONOTONICITY

被引：1

作者：

Bai, Zhenguo ^{[1
]}

Zhao, Tingting ^{[2
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710126, Shaanxi, Peoples R China

[2] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 10期

关键词：

Non-local reaction-diffusion model; traveling waves; spreading speed; minimal wave speed; ASYMPTOTIC-BEHAVIOR; SPATIAL DYNAMICS; EQUATIONS; MODEL; UNIQUENESS; FRONTS;

D O I：

10.3934/dcdsb.2018126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A non-local delayed reaction-diffusion model with a quiescent stage is investigated. It is shown that the spreading speed of this model without quasi-monotonicity is linearly determinate and coincides with the minimal wave speed of traveling waves.

引用

页码：4063 / 4085

页数：23

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