摘要
考虑了一类抽象的离散时间反应扩散方程组的行波解的存在性.通过Schauder's不动点理论和比较原理,将波方程组行波解的存在性变为寻找一对上下解,并将结果应用于两类时滞系统.
The existence of traveling wave fronts in temporally discrete reaction-diffusion systems with delays was discussed.By using Schauder＇s fixed point theorem and comparison principle,the existence of traveling wave fronts of the system were established.In order to to illustrate the results,traveling wave fronts of the delayed competition Lotka-Volterra model and the delayed Gilpin-Ayala model were considered.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2016年第1期112-116,共5页
Journal of Lanzhou University(Natural Sciences)
基金
the National Natural Science Foundation of China(11461040)
the Project of Gansu City Development Research Institute(2013-GSCFY-KJ04)
Science Research Project of Higher Education of Gansu(2015A-122)
关键词
比较原理
单调性
波前
离散时间
上下解
comparison principle
monostable
traveling wave front
temporally discrete
upper and lower solutions
