Traveling Wave Solutions of a Delayed Cooperative System

被引：9
|
作者：
Li, Xue-Shi [1 ]
Pan, Shuxia [2 ]
机构：
[1] Lanzhou City Univ, Sch Math, Lanzhou 730070, Gansu, Peoples R China
[2] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 03期
关键词：
contracting rectangle; large delay; minimal wave speed; population dynamics; REACTION-DIFFUSION-SYSTEMS; LOTKA-VOLTERRA SYSTEM; SPREADING SPEEDS; FRONTS; EQUATIONS; EXISTENCE;
D O I：
10.3390/math7030269
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the dynamics of a delayed cooperative system without quasimonotonicity. Using the contracting rectangles, we obtain a sufficient condition on the stability of the unique positive steady state of the functional differential system. When the spatial domain is whole R, the existence and nonexistence of traveling wave solutions are investigated, during which the asymptotic behavior is investigated by the contracting rectangles.
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页数：15
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