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.
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页码：4063 / 4085
页数：23
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