Numerical and Mathematical Modeling of a Gene Network with Nonlinear Degradation of the Components

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发表日期：

2024年3月13日

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V. P. Golubyatnikov,
N. E. Kirillova,
L. S. Minushkina

摘要

Abstract

For a 3-dimensional dynamical system considered as a model of a gene network with nonlinear degradation of its components, the uniqueness of an equilibrium point is proved. Using approaches of qualitative theory of ordinary differential equations, we find conditions of existence of a cycle of this system and describe an invariant domain which contains all such cycles in the phase portrait. Numerical experiments with trajectories of this system are conducted.