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The COVID-19 pandemic has made clear the importance of understanding precisely how diseases spread throughout networks of transportation. In a paper publishing on Thursday in the IAM Journal on Applied Mathematics, Stephen Kirkland (University of Manitoba), Zhisheng Shuai (University of Central Florida), P. van den Driessche (University of Victoria), and Xueying Wang (Washington State University) study the way in which changes in a network of multiple interconnected communities impact the ensuing spread of disease.

This book explains general and specific types of subharmonic functions, related partial differential equations, mathematical proofs and extension results.

 E-Mail IMAGE: Artist's impression of the experiment, where an electric pulse is applied to a titanium atom. As a result, its magnetic moment suddenly flips around. A neighbouring titanium atom (right) reacts... view more  Credit: TU Delft/Scixel How materials behave depends on the interactions between countless atoms. You could see this as a giant group chat in which atoms are continuously exchanging quantum information. Researchers from Delft University of Technology in collaboration with RWTH Aachen University and the Research Center Jülich have now been able to intercept a chat...

 E-Mail IMAGE: Visualization of the percentage of a building's repair cost to its replacement value after a magnitude 7.0 earthquake in San Francisco. view more  Credit: Chaofeng Wang, SimCenter, UC Berkeley Artificial intelligence is providing new opportunities in a range of fields, from business to industrial design to entertainment. But how about civil engineering and city planning? How might machine- and deep-learning help us create safer, more sustainable, and resilient built environments? A team of researchers from the NSF NHERI SimCenter, a computational modeling and simulati...

Credit: Kazan Federal University Problems for eigenmodes of a two-layered dielectric microcavity have become widespread thanks to the research of A.I. Nosich, E.I. Smotrova, S.V. Boriskina and others since the beginning of the 21st century. The KFU team first tackled this topic in 2014; undergraduates started working under the guidance of Evgeny Karchevsky, Professor of the Department of Applied Mathematics of the Institute of Computational Mathematics and Information Technology. In this paper, the researchers discuss a model of a 2D active microcavity with a piercing hole and the possibility...