关于阻遏物的数学模型

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2022-08-24 DOI:10.1090/spmj/1727

S. Glyzin, A. Kolesov, N. Rozov

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引用次数: 0

摘要

考虑了一个最简单的三连杆振荡基因网络的数学模型，即所谓的阻遏物。该模型是一个由三个常微分方程组成的非线性奇摄动系统。研究了该系统关于坐标循环排列的松弛周期解不变量的存在性和稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a mathematical model of a repressilator

A mathematical model of the simplest three-link oscillatory gene network, the so-called repressilator, is considered. This model is a nonlinear singularly perturbed system of three ordinary differential equations. The existence and stability of a relaxation periodic solution invariant with respect to cyclic permutations of coordinates are investigated for this system.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.