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The COVID-19 pandemic has posed significant challenges in modeling its complex epidemic transmissions, infection and contagion, which are very different from known epidemics. The challenges in quantifying COVID-19 complexities include…

Machine Learning · Statistics 2022-04-06 Qing Liu , Longbing Cao

The transmission of COVID-19 is dependent on social contacts, the rate of which have varied during the pandemic due to mandated and voluntary social distancing. Changes in transmission dynamics eventually affect hospital admissions and we…

Populations and Evolution · Quantitative Biology 2021-01-05 Philip Gerlee , Julia Karlsson , Ingrid Fritzell , Thomas Brezicka , Armin Spreco , Toomas Timpka , Anna Jöud , Torbjörn Lundh

Most COVID-19 predictive modeling efforts use statistical or mathematical models to predict national- and state-level COVID-19 cases or deaths in the future. These approaches assume parameters such as reproduction time, test positivity…

Epidemics are often modelled using non-linear dynamical systems observed through partial and noisy data. In this paper, we consider stochastic extensions in order to capture unknown influences (changing behaviors, public interventions,…

Applications · Statistics 2012-11-06 Joseph Dureau , Konstantinos Kalogeropoulos , Marc Baguelin

We present an approach to studying and predicting the spatio-temporal progression of infectious diseases. We treat the problem by adopting a partial differential equation (PDE) version of the Susceptible, Infected, Recovered, Deceased…

Biological Physics · Physics 2021-04-30 Zhenlin Wang , Mariana Carrasco Teja , Xiaoxuan Zhang , Gregory Teichert , Krishna Garikipati

With the prevalence of COVID-19, the modeling of epidemic propagation and its analyses have played a significant role in controlling epidemics. However, individual behaviors, in particular the self-protection and migration, which have a…

Social and Information Networks · Computer Science 2025-11-25 Yuhan Li , Ziyan Zeng , Minyu Feng , Jürgen Kurths

During pandemic events, strategies such as social distancing can be fundamental to curb viral spreading. Such actions can reduce the number of simultaneous infections and mitigate the disease spreading, which is relevant to the risk of a…

Physics and Society · Physics 2021-02-24 Marco A. Amaral , Marcelo M. de Oliveira , Marco A. Javarone

The COVID-19 disease has forced countries to make a considerable collaborative effort between scientists and governments to provide indicators to suitable follow-up the pandemic's consequences. Mathematical modeling plays a crucial role in…

Populations and Evolution · Quantitative Biology 2020-12-29 Patricio Cumsille , Oscar Rojas-Díaz , Pablo Moisset de Espanés

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

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

Motivated by analogies between the spreading of human-to-human infections and of chemical processes, we develop a comprehensive model that accounts both for infection and for transport. In this analogy, the three different populations of…

Populations and Evolution · Quantitative Biology 2020-12-08 Harisankar Ramaswamy , Assad A Oberai , Yannis C Yortsos

The Susceptible-Infected-Recovered (SIR) model is the cornerstone of epidemiological models. However, this specification depends on two parameters only, which implies a lack of flexibility and the difficulty to replicate the volatile…

Populations and Evolution · Quantitative Biology 2020-11-17 Christian Gourieroux , Yang Lu

The outbreak of the coronavirus disease 2019 (COVID-19) has now spread throughout the globe infecting over 150 million people and causing the death of over 3.2 million people. Thus, there is an urgent need to study the dynamics of…

The ongoing coronavirus disease 2019 (COVID-19) pandemic has wreaked havoc worldwide with millions of lives claimed, human travel restricted and economic development halted. Leveraging city-level mobility and case data, our analysis shows…

Physics and Society · Physics 2022-06-29 Yafei Zhang , Lin Wang , Jonathan J. H. Zhu , Xiaofan Wang

COVID-19 pandemic has brought the whole world to a stand-still over the last few months. In particular the pace at which pandemic has spread has taken everybody off-guard. The Governments across the world have responded by imposing…

Machine Learning · Computer Science 2020-08-19 Shreekanth M. Prabhu , Natarajan Subramaniam

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

Populations and Evolution · Quantitative Biology 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

Motivated by the classical Susceptible-Infected-Recovered (SIR) epidemic models proposed by Kermack and Mckendrick, we consider a class of stochastic compartmental dynamical systems with a notion of partial ordering among the compartments.…

Populations and Evolution · Quantitative Biology 2019-01-03 Wasiur R. KhudaBukhsh , Boseung Choi , Eben Kenah , Grzegorz A. Rempala

The coronavirus disease (COVID-19) pandemic has changed our lives and still poses a challenge to science. Numerous studies have contributed to a better understanding of the pandemic. In particular, inhalation of aerosolised pathogens has…

Populations and Evolution · Quantitative Biology 2022-09-02 Simon Rahn , Marion Gödel , Gerta Köster , Gesine Hofinger

Compartmental models are a tool commonly used in epidemiology for the mathematical modelling of the spread of infectious diseases, with their most popular representative being the Susceptible-Infected-Removed (SIR) model and its…

Machine Learning · Computer Science 2022-12-19 Lorenz Kummer , Kevin Sidak

The aim of this study is to propose a modified Susceptible-Exposed-Infectious-Removed (SEIR) model that describes the behaviour of symptomatic, asymptomatic and hospitalized patients of COVID-19 epidemic, including the effect of demographic…

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