Abstract
A multi-parameter system of ordinary differential equations, modelling genetic networks, is considered. Attractors of this system correspond to future states of a network. Sufficient conditions for the non-existence of stable critical points are given. Due to the special structure of the system, attractors must exist. Therefore the existence of more complicated attractors was expected. Several examples are considered, confirming this conclusion.
| Original language | English |
|---|---|
| Pages (from-to) | 43-49 |
| Number of pages | 7 |
| Journal | WSEAS Transactions on Computer Research |
| Volume | 10 |
| DOIs | |
| Publication status | Published - 2022 |
OECD Field of Science
- 1.1 Mathematics
Keywords
- attractors
- dynamical system
- genetic regulatory networks
- Mathematical model
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