This article uses BIM technology to simulate HVAC in a commercial building. And use fractional differential equations to verify the set temperature, humidity, and other related parameters. The experiment takes an air-conditioned room model as the research object and uses the thermodynamic characteristics to establish a dynamic mathematical model of differential equations. Research shows that the multiple electric heat pump equipment aggregation groups discussed in this article are a good resource for user-side demand response. The air-side flow rate disturbance of the building HVAC has the greatest impact on the heat transfer of the surface cooler. As the air velocity increases, the rate of increase in heat exchange will decrease.

As the primary killer of health, the class of infectious diseases is the greatest threat to humanity. At present, international methods of studying the large-scale spatial transmission of sudden infectious diseases from the perspective of dynamics can be divided into two categories. On the one hand, top international biomedical and medical teams discuss the restraining effects of some prevention and control strategies on infectious diseases, such as smallpox, malaria, hand, foot and mouth disease and pandemic influenza, from the perspective of pragmatism. On the other hand, researchers in theoretical physics and network science tend to use compound population network models to explore the internal dynamic mechanism of spatial transmission of infectious diseases. This paper establishes a Lotka–Volterra dispersal predator–prey system in a patchy environment. It shows the existence of model boundary equilibria and asymptotic stability under an appropriate condition. This paper adopts the method of global Lyapunov function and the results of graph theory. We also consider a predator–prey dynamical model in a patchy environment, where the prey and predator individuals in each compartment can travel among n patches.

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Campus university library as a spiritual force, in the development of social economy and science and technology innovation, according to the requirements of education management research scholars and students growth changes proposed learning Shared space, the effective integration of space, resources, service as one of the new construction idea, not only makes the university library become more perfect effective, It can also enhance the cohesion and innovation of internal operation. Nowadays, with the increase of the number of university libraries around the country, the scale of internal construction is getting bigger and bigger, and the planning and design of learning shared space based on university libraries has become the focus of scientific research. In essence, learning shared space, as a seamless learning environment, begins to innovate toward intellectualization and modernization while transforming the functional role of university libraries. In this article, therefore, learn about the current university library, on the basis of Shared space planning and design content, according to the fuzzy matrix model, analysis of the application of image retrieval algorithm is verified, the final results show that in the university library to promote learning sharing space, can not only meet the diverse needs of the readers, you can also change the traditional mode of the library service.

The old district of Guangzhou was taken as an example to explore new approaches – the perspective of space syntax – to study the urban structure based on the Geographic Information Centre (GIS) space statistics. Results show that the old district of Guangzhou has significant spatial heterogeneity; the historic regions, as the urban core, have a deep effect on the city and own a ‘double interface’ for both the visitors and indigenous inhabitants. Unique space logic has been formed in the long history of the city, but the grid structure of the old district is unbalanced and incomplete, and some regions have problems in accessibility. Given this, the paper, based on the distribution of the historical buildings, proposed to create contextual urban axes, optimise the public service and improve the space structure, to provide a reference to the preservation and utilisation of historic buildings.