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

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 s...

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Bibliographic Details
Published in:Numerical analysis and applications 2024-03, Vol.17 (1), p.1-7
Main Authors: Golubyatnikov, V. P., Kirillova, N. E., Minushkina, L. S.
Format: Article
Language:English
Subjects:
Degradation
Differential equations
Dynamical systems
Mathematical models
Mathematics
Mathematics and Statistics
Numerical Analysis
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Summary: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.
ISSN:1995-4239
1995-4247
DOI:10.1134/S1995423924010014