Stability of periodic solutions for a model of genetic repression with delays
A technique is discussed for locating the Hopf bifurcation of an n- dimensional system of delay differential equations which arises from a model for control of protein biosynthesis. Certain parameter values are shown to allow a Hopf bifurcation to periodic orbits. At the Hopf bifurcation the periodic orbits are shown to be stable either analytically or numerically depending on the parameter values.
scientific article; zbMATH DE number 3898656