Setting up mathematical models to describe the interaction of chemical variables has been a hot issue in chemical and mathematical areas. Nevertheless, many mathematical models are only involved with the integer-order differential equation case. The fruits on fractional-order chemical models are very scarce. In this present work, on the basis of the previous studies, we set up a novel fractional-order delayed Oregonator model. Selecting the time delay as bifurcation parameter, we obtain novel delay-independent bifurcation conditions that guarantee the stability and the appearance of Hopf bifurcation for the fractional-order delayed Oregonator model. The study shows that time delay plays a vital role in controlling the stability and the appearance of Hopf bifurcation of the considered fractional-order delayed Oregonator model. In order to verify the rationality of theoretical results, computer simulations are carried out.

The paper analyses J. K. Rowling's Commencement Address at Harvard University from the perspective of functional linguistics.Halliday's Systemic-Functional Linguistics is considered as the analysis framework of this paper. This framework divides language function into three parts: ideational function, interpersonal function and textual function. The author analyses the discourse from the transitivity system of the ideational function which includes six processes. Through the analysis, it attempts to help readers to understand the features of the lecturer and the thematic meaning of this speech from a different angle.

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