A PERIODIC REACTION-DIFFUSION MODEL WITH A QUIESCENT STAGE

被引：6
|
作者：
Wang, Feng-Bin [1 ]
机构：
[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2012年 / 17卷 / 01期
关键词：
Monotone systems; Spreading speeds; Periodic traveling waves; periodic coexistence state; SPREADING SPEEDS; TRAVELING-WAVES; BEHAVIOR;
D O I：
10.3934/dcdsb.2012.17.283
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the asymptotic behaviour for a periodic reaction-diffusion model with a quiescent stage. By appealing to the theory of asymptotic speeds of spread and traveling waves for monotone periodic semiflow, we establish the existence of the spreading speed and show that it coincides with the minimal wave speed for monotone periodic traveling waves. Finally, we consider the case where the spatial domain is bounded. A threshold result on the global attractivity of either zero or a positive periodic solution are established.
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页码：283 / 295
页数：13
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