Basic Flow Differential Equations applied in Building Service Engineering

In this article basic flow equations will be presented to describe the flow behaviour of various mediums, like gas, ideal gas, wet steam, ... etc. The equations constitute a system of simultaneous differential equations. The solution of this sytem is here not discussed. The Appendix gives a clearly arranged synopsis of the differential equations of flows under different conditions

Epidemic spread, parameter sensitivity and vaccination strategies on a random graph with overlapping communities

Our main goal is to examine the role of communities in epidemic spread in a random graph model. More precisely, we consider a random graph model which consists of overlapping complete graphs, representing households, workplaces, school classes, and which also has a simple geometric structure. We study the model's sensitivity to infection parameters and other tunable parameters of the model, which might be helpful in finding efficient social distancing strategies. We also quantitatively compare different vaccination strategies to see which order is the best to defend the most vulnerable groups or the population in general, and how important it is to gather and use information on the position of infected individuals in the network.Comment: 16 pages, 7 figure