Abstract In this paper, the local bifurcations of an enzyme catalysed system is studied. Firstly, it
shows that this system has either 1 or 2 isolated equilibria, or a singular line. The dynamical properties
of each equilibria are given. Then, when the isolated equilibria are non-hyperbolic, it exhibits that this
system may undergo transcritical bifurcation and Hopf bifurcation. By Lyapunov quantity, the order
of weak focus is proved to be 1. Finally, numerical simulations are employed to illustrate the results obtained.
SU Juan. Analysis of local bifurcations of an enzyme catalyzed reaction system. Applied Mathematics A Journal of Chinese Universities, 2019, 34(2): 173-.
