Stability Analysis of Genetic Regulatory Networks with Dual Regulation Strategies

This paper analyzes the stability characteristic of a small genetic regulatory network with dual regulatory processes (both transcriptional and post-transcriptional regulation). Comparing to the traditional dynamic analysis only focusing on single transcriptional process, dual regulatory processes can help us understand the regulatory mechanism of genetic regulatory networks more precise. The existence of positive equilibriums is discussed for this genetic structure, and stability conditions are established for each equilibrium. Finally, numerical simulations are adopted to prove our analysis.