Background Streptococcus pneumoniae, Haemophilus influenzae, and Neisseria meningitidis, which are typically transmitted via respiratory droplets, are leading causes of invasive diseases, including bacteraemic pneumonia and meningitis, and of secondary infections subsequent to post-viral respiratory disease. The aim of this study was to investigate the incidence of invasive disease due to these pathogens during the early months of the COVID-19 pandemic. MethodsIn this prospective analysis of surveillance data, laboratories in 26 countries and territories across six continents submitted data on cases of invasive disease due to S pneumoniae, H influenzae, and N meningitidis from Jan 1, 2018, to May, 31, 2020, as part of the Invasive Respiratory Infection Surveillance (IRIS) Initiative. Numbers of weekly cases in 2020 were compared with corresponding data for 2018 and 2019. Data for invasive disease due to Streptococcus agalactiae, a non-respiratory pathogen, were collected from nine laboratories for comparison. The stringency of COVID-19 containment measures was quantified using the Oxford COVID-19 Government Response Tracker. Changes in population movements were assessed using Google COVID-19 Community Mobility Reports. Interrupted time-series modelling quantified changes in the incidence of invasive disease due to S pneumoniae, H influenzae, and N meningitidis in 2020 relative to when containment measures were imposed. Findings 27 laboratories from 26 countries and territories submitted data to the IRIS Initiative for S pneumoniae (62 434 total cases), 24 laboratories from 24 countries submitted data for H influenzae (7796 total cases), and 21 laboratories from 21 countries submitted data for N meningitidis (5877 total cases). All countries and territories had experienced a significant and sustained reduction in invasive diseases due to S pneumoniae, H influenzae, and N meningitidis in early 2020 (Jan 1 to May 31, 2020), coinciding with the introduction of COVID-19 containment measures in each country. By contrast, no significant changes in the incidence of invasive S agalactiae infections were observed. Similar trends were observed across most countries and territories despite differing stringency in COVID-19 control policies. The incidence of reported S pneumoniae infections decreased by 68% at 4 weeks (incidence rate ratio 0•32 [95% CI 0•27-0•37]) and 82% at 8 weeks (0•18 [0•14-0•23]) following the week in which significant changes in population movements were recorded. Interpretation The introduction of COVID-19 containment policies and public information campaigns likely reduced transmission of S pneumoniae, H influenzae, and N meningitidis, leading to a significant reduction in life-threatening invasive diseases in many countries worldwide.

SUMMARYThe paper describes models of a constant-phase element consisting of passive R and C components. The models offer any input impedance argument (phase) between −90°and 0°over a selectable frequency band covering several decades. The design procedure makes it possible to choose values of average phase, phase ripple, frequency bandwidth, and total number of R and C elements. The model can cover three frequency decades with as few as five resistors and five capacitors. The models can be used for practical realization of fractional analog differentiators and integrators, fractional oscillators, chaotic networks or for analog simulation of fractional control systems.

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A new computer-oriented method for the timedomain analysis of networks with internally controlled ideal switches is presented. No assumptions are made about the continuity of the circuit response at the switching instants; even Dirac impulses are permitted. In fact, it is shown that Dirac impulses must be considered for the analysis of some switched networks, even though they may only be present for intermediate steps of the analysis. Several topological changes may be needed at each switching instant to ensure that the topology after switching is valid.The theories have been implemented in a computer program SWANN. The network equations are generated with a two-graph modified nodal analysis technique, rather than the state equation formulation. Various internally controlled switches are permitted, such as the ideal diode, thyristor, and voltage and current controlled switches. Numerical results show the generality and accuracy of the method on three switched networks.' In general, if there are I switching elements, there will be 2' different 1057-7122/92$03.00 0 1992 IEEE

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