Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling

被引：5
|
作者：
Kashchenko, S. A. [1 ]
机构：
[1] Demidov Yaroslavl State Univ, Reg Sci & Educ Math Ctr, Yaroslavl 150003, Russia
来源：
DOKLADY MATHEMATICS | 2022年 / 105卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
dynamics; logistic equation; delay;
D O I：
10.1134/S1064562422010069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamics of chains of coupled logistic equations with delay are studied using methods of local analysis. It is shown that the critical cases have infinite dimension. As the main results, special nonlinear boundary value problems of the parabolic type describing the evolution of solutions to the initial equation that slowly oscillate at the equilibrium state are constructed.
引用
收藏
页码：18 / 22
页数：5
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