Existence and asymptotic of traveling wave fronts for the delayed Volterra-type cooperative system with spatial diffusion

Abstract In the paper, we are concerned with the existence and the exponential asymptotic behavior of traveling waves for the delayed Volterra-type cooperative system with nonquasimonotone condition {∂u1(x,t)∂t=D1∂2u1(x,t)∂x2+r1u1(x,t)[1−a1u1(x,t)−b1u1(x,t−τ1)+c1u2(x,t−τ2)],∂u2(x,t)∂t=D2∂2u2(x,t)∂x2...

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Bibliographic Details
Main Authors: Yanling Meng, Weiguo Zhang, Zhixian Yu
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1640-9