Neimark-Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model

In this paper, the local dynamics and Neimark-Sacker bifurcation of a two-dimensional glycolytic oscillator model in the interior ofDouble-struck capital R-+(2) are explored. It is investigated that for all alpha and beta, the model has a unique equilibrium point:P-xy(+)(alpha/beta + alpha(2)), alpha) Further about P-xy(+)(alpha/beta + alpha(2)), alpha), local dynamics and the existence of bifurcation are explored. It is investigated about P-xy(+)(alpha/beta + alpha(2)),alpha) that the glycolytic oscillator model undergoes no bifurcation except the Neimark-Sacker bifurcation. Some simulations are given to verify the obtained results. Finally, bifurcation diagrams and the corresponding maximum Lyapunov exponent are presented for the glycolytic oscillator model.