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In this paper we introduce a space-dependent multiscale model to describe the spatial spread of an infectious disease under uncertain data with particular interest in simulating the onset of the COVID-19 epidemic in Italy. While virus…

Populations and Evolution · Quantitative Biology 2021-08-31 Giulia Bertaglia , Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

We show that precise knowledge of epidemic transmission parameters is not required to build an informative model of the spread of disease. We propose a detailed model of the topology of the contact network under various external control…

Populations and Evolution · Quantitative Biology 2020-06-15 Michael Small , David Cavanagh

During 2020, the infection rate of COVID-19 has been investigated by many scholars from different research fields. In this context, reliable and interpretable forecasts of disease incidents are a vital tool for policymakers to manage…

Machine Learning · Computer Science 2021-01-05 Cornelius Fritz , Emilio Dorigatti , David Rügamer

The dynamic behaviour of stochastic spreading processes on a network model based on k-regular graphs is investigated. The contact process and the susceptible-infected-susceptible model for the spread of epidemics are considered as prototype…

Disordered Systems and Neural Networks · Physics 2008-10-08 S. V. Fallert , S. N. Taraskin

Background: The global spread of the severe acute respiratory syndrome (SARS) epidemic has clearly shown the importance of considering the long-range transportation networks in the understanding of emerging diseases outbreaks. The…

Other Quantitative Biology · Quantitative Biology 2008-01-16 Vittoria Colizza , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

We propose a mathematical model for the transmission dynamics of SARS-CoV-2 in a homogeneously mixing non constant population, and generalize it to a model where the parameters are given by piecewise constant functions. This allows us to…

During 2020 and 2021, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) transmission has been increasing amongst the world's population at an alarming rate. Reducing the spread of SARS-CoV-2 and other diseases that are spread in…

Social and Information Networks · Computer Science 2022-03-22 Patrick Urrutia , David Wren , Chrysafis Vogiatzis , Ruriko Yoshida

During the COVID-19 pandemic, community containment measures have been implemented in different parts of the world. However, despite government recommendations and mandates, a progressive increase in mobility was observed in several sites.…

Physics and Society · Physics 2021-03-29 Ariel Félix Gualtieri , Pedro Hecht

A system to model the spread of COVID-19 cases after lockdown has been proposed, to define new preventive measures based on hotspots, using the graph clustering algorithm. This method allows for more lenient measures in areas less prone to…

Social and Information Networks · Computer Science 2020-11-03 Varun Nagesh Jolly Behera , Ashish Ranjan , Motahar Reza

We developed a model and a software package for stochastic simulations of transmission of COVID-19 and other similar infectious diseases, that takes into account contact network structures and geographical distribution of population…

Populations and Evolution · Quantitative Biology 2021-05-19 Alexander Temerev , Liudmila Rozanova , Olivia Keiser , Janne Estill

Coronavirus COVID-19 spreads through the population mostly based on social contact. To gauge the potential for widespread contagion, to cope with associated uncertainty and to inform its mitigation, more accurate and robust modelling is…

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

In stochastic modeling of infectious diseases, it has been established that variations in infectivity affect the probability of a major outbreak, but not the shape of the curves during a major outbreak, which is predicted by deterministic…

Physics and Society · Physics 2022-12-12 F Rousse , M Carlsson , M Ogren , B Kalischer Wellander

To contain the Coronavirus disease (COVID-19) pandemic, one of the non-pharmacological epidemic control measures in response to the COVID-19 outbreak is reducing the transmission rate of SARS-COV-2 in the population through (physical)…

Physics and Society · Physics 2020-05-19 Song Gao , Jinmeng Rao , Yuhao Kang , Yunlei Liang , Jake Kruse

Raw data on the cumulative number of deaths at a country level generally indicate a spatially variable distribution of the incidence of COVID-19 disease. An important issue is to determine whether this spatial pattern is a consequence of…

Populations and Evolution · Quantitative Biology 2020-07-21 Lionel Roques , Olivier Bonnefon , Virgile Baudrot , Samuel Soubeyrand , Henri Berestycki

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

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

Methodology · Statistics 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

Mathematical modeling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact…

Dynamical Systems · Mathematics 2016-10-31 Ágnes Bodó , Gyula Y. Katona , Péter L. Simon

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

In December 2019, a newly discovered SARS-CoV-2 virus was emerged from China and propagated worldwide as a pandemic. In the absence of preventive medicine or a ready to use vaccine, mathematical models can provide useful scientific insights…

Populations and Evolution · Quantitative Biology 2020-06-30 Indrajit Ghosh