Existence and stability of the relaxation cycle in a mathematical repressilator model

S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov

doi:10.1134/S0001434617010072

Existence and stability of the relaxation cycle in a mathematical repressilator model

Authors: Glyzin S.D.¹, Kolesov A.Y.¹, Rozov N.K.²
Affiliations:
1. Demidov Yaroslavl State University
2. Lomonosov Moscow State University
Issue: Vol 101, No 1-2 (2017)
Pages: 71-86
Section: Volume 101, Number 1, January, 2017
URL: https://journals.rcsi.science/0001-4346/article/view/149938
DOI: https://doi.org/10.1134/S0001434617010072
ID: 149938

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Abstract

The three-dimensional nonlinear system of ordinary differential equations modeling the functioning of the simplest oscillatory genetic network, the so-called repressilator, is considered. The existence, asymptotics, and stability of the relaxation periodicmotion in this system are studied.