Quasi-periodic Solutions for a Three-dimensional System in Gene Regulatory Network

Abstract

This work introduces a three-dimensional system with quasi-periodic solutions for special values of parameters. The equations model the interactions between genes and their products. In gene regulatory networks, quasi-periodic solutions refer to a specific type of temporal behavior observed in the system. We show the dynamics of Lyapunov exponents. Visualizations are provided. It is important to note that the study of gene regulatory networks is a complex interdisciplinary field that combines biology, mathematics, and computer science.