| Issue |
4open
Volume 3, 2020
|
|
|---|---|---|
| Article Number | 8 | |
| Number of page(s) | 9 | |
| Section | Mathematics - Applied Mathematics | |
| DOI | https://doi.org/10.1051/fopen/2020009 | |
| Published online | 04 August 2020 | |
Research Article
Remarks on GRN-type systems
1
Daugavpils University, Parades Street 1, 5400 Daugavpils, Latvia
2
Institute of Mathematics and Computer Science, University of Latvia, Rainis Boulevard 29, 1459 Riga, Latvia
* Corresponding author: felix@latnet.lv
Received:
18
March
2020
Accepted:
19
July
2020
Systems of ordinary differential equations that appear in gene regulatory networks theory are considered. We are focused on asymptotical behavior of solutions. There are stable critical points as well as attractive periodic solutions in two-dimensional and three-dimensional systems. Instead of considering multiple parameters (10 in a two-dimensional system) we focus on typical behaviors of nullclines. Conclusions about possible attractors are made.
Mathematics Subject Classification: 34C60 / 34D45 / 92B20
Key words: Ordinary differential equations / Genetic regulatory networks / Attractors
© E. Brokan and F. Sadyrbaev, Published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.