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We introduce an extended generalised logistic growth model for discrete outcomes, in which a network structure can be specified to deal with spatial dependence and time dependence is dealt with using an Auto-Regressive approach. A major…

The COVID-19 pandemic has led to a vast amount of growth for statistical models and methods which characterize features of disease outbreaks. One class of models that came to light in this regard has been the use of self-exciting point…

Applications · Statistics 2022-04-29 Peter Boyd , James Molyneux

Attempts to control the epidemic spread of COVID19 in the different countries often involve imposing restrictions to the mobility of citizens. Recent examples demonstrate that the effectiveness of these policies strongly depends on the…

Physics and Society · Physics 2020-07-10 Alejandro Carballosa , Mariamo Mussa-Juane , Alberto P. Muñuzuri

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

When considering airborne epidemic spreading in social systems, a natural connection arises between mobility and epidemic contacts. As individuals travel, possibilities to encounter new people either at the final destination or during the…

Physics and Society · Physics 2024-05-10 Jesús A. Moreno López , Sandro Meloni , Jose J. Ramasco

We present a simple technique to compare the development of the Covid-19 epidemic in different regions, based only on the time series of confirmed cases. Weekly new infections, taken for every day, are interpreted as infection potential of…

Populations and Evolution · Quantitative Biology 2020-06-04 Christoph Bandt

Classically, endemic infectious diseases are expected to display relatively stable, predictable infection dynamics. Accordingly, basic disease models such as the susceptible-infected-recovered-susceptible model display stable endemic states…

Physics and Society · Physics 2025-04-08 Joel Wagner , Simon Bauer , Sebastian Contreras , Luk Fleddermann , Ulrich Parlitz , Viola Priesemann

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

Methodology · Statistics 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

We present an analysis of six deterministic models for epidemic spreading. The evolution of the number of individuals of each class is given by ordinary differential equations of the first order in time, which are set up by using the laws…

Biological Physics · Physics 2020-12-25 Tânia Tomé , Mário J. de Oliveira

The investment of time and resources for better strategies and methodologies to tackle a potential pandemic is key to deal with potential outbreaks of new variants or other viruses in the future. In this work, we recreated the scene of a…

Machine Learning · Computer Science 2021-04-22 Andrés L. Suárez-Cetrulo , Ankit Kumar , Luis Miralles-Pechuán

Using a probability of novel encounter derived from a physical model, we augment the SIR compartmental model for disease spread. Scenarios with the same initial trajectories and identical $R_0$ values can diverge greatly depending on the…

Populations and Evolution · Quantitative Biology 2020-06-15 Peter Cotton

Accurate estimates of the reproduction ratio are crucial to project infectious disease epidemic evolution and guide public health response. Here, we prove that estimates of the reproduction ratio based on inference from surveillance data…

Physics and Society · Physics 2025-01-08 Piero Birello , Michele Re Fiorentin , Boxuan Wang , Vittoria Colizza , Eugenio Valdano

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

Over the past two decades there has been a number of global outbreaks of viral diseases. This has accelerated the efforts to model and forecast the disease spreading, in order to find ways to confine the spreading regionally and between…

Physics and Society · Physics 2020-07-22 Rafael A. Barrio , Kimmo K. Kaski , Gudmundur G. Haraldsson , Thor Aspelund , Tzipe Govezensky

Accurate modeling of lockdown effects on SARS-CoV-2 epidemic evolution is a key issue in order e.g. to inform health-care decisions on emergency management. The compartmental and spatial models so far proposed use parametric descriptions of…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Gianluigi Pillonetto , Mauro Bisiacco , Giorgio Palù , Claudio Cobelli

Timely prediction of the COVID-19 progression is not possible without a comprehensive understanding of environmental factors that may affect the infection transmissibility. Studies addressing parameters that may influence COVID-19…

Populations and Evolution · Quantitative Biology 2021-03-30 Igor Salom , Andjela Rodic , Ognjen Milicevic , Dusan Zigic , Magdalena Djordjevic , Marko Djordjevic

This paper presents the assessment of time-dependent national-level restrictions and control actions and their effects in fighting the COVID-19 pandemic. By analysing the transmission dynamics during the first wave of COVID-19 in the…

Populations and Evolution · Quantitative Biology 2021-02-04 Ton Duc Do , Meei Mei Gui , Kok Yew Ng

Coronavirus outbreak is one of the most challenging pandemics for the entire human population of the planet Earth. Techniques such as the isolation of infected persons and maintaining social distancing are the only preventive measures…

Social and Information Networks · Computer Science 2020-09-01 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

Detecting changes in COVID-19 disease transmission over time is a key indicator of epidemic growth.Near real-time monitoring of the pandemic growth is crucial for policy makers and public health officials who need to make informed decisions…

Applications · Statistics 2021-11-30 Luca Scrucca

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

Populations and Evolution · Quantitative Biology 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra