Hopf bifurcation in time‐delayed gene expression model with dimers

We study a mathematical model of gene transcription and protein synthesis with negative feedback. consider system equations taking into account the formation dimers (i.e., complex formed by two monomers), way in which bind to DNA time delay translation process. For consisting three ordinary differential delay, we derive conditions for stability positive steady state existence Hopf bifurcation. check influence process on dynamics, formulate determining type bifurcation arising limit cycle.