Abstract

In this paper, we study the dynamics of a system arising from enzyme-catalyzed reaction. Parameter conditions for the existence and qualitative properties of equilibria are given. Various kinds of bifurcations including saddle-node bifurcation, Bogdanov–Takens bifurcation and Hopf bifurcation are investigated. The order of weak focus is proved to be at most 2, and the parameter conditions of exact order are obtained. Numerical simulations are employed to illustrate the results obtained.

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