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The spread of an epidemic process is considered in the context of a spatial SIR stochastic model that includes a parameter $0\le p\le 1$ that assigns weights $p$ and $1- p$ to global and local infective contacts respectively. The model was…

Populations and Evolution · Quantitative Biology 2020-01-29 Gabriel Fabricius , Alberto Maltz

We study the problem of estimating the parameters (i.e., infection rate and recovery rate) governing the spread of epidemics in networks. Such parameters are typically estimated by measuring various characteristics (such as the number of…

Systems and Control · Electrical Eng. & Systems 2021-05-12 Lintao Ye , Philip E. Paré , Shreyas Sundaram

SARS-CoV-2 causing COVID-19 disease has moved rapidly around the globe, infecting millions and killing hundreds of thousands. The basic reproduction number, which has been widely used and misused to characterize the transmissibility of the…

Populations and Evolution · Quantitative Biology 2020-05-29 Benjamin M. Althouse , Edward A. Wenger , Joel C. Miller , Samuel V. Scarpino , Antoine Allard , Laurent Hébert-Dufresne , Hao Hu

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

When the novel coronavirus disease SARS-CoV2 (COVID-19) was officially declared a pandemic by the WHO in March 2020, the scientific community had already braced up in the effort of making sense of the fast-growing wealth of data gathered by…

Populations and Evolution · Quantitative Biology 2020-05-25 Timoteo Carletti , Duccio Fanelli , Francesco Piazza

After the breakout of the disease caused by the new virus COVID-19, the mitigation stage has been reached in most of the countries in the world. During this stage, a more accurate data analysis of the daily reported cases and other…

Populations and Evolution · Quantitative Biology 2020-07-01 S. Maltezos

In a previous article [1] we have described the temporal evolution of the Sars- Cov-2 in Italy in the time window February 24-April 1. As we can see in [1] a generalized logistic equation captures both the peaks of the total infected and…

Populations and Evolution · Quantitative Biology 2020-08-26 Gabriele Martelloni , Gianluca Martelloni

We present an empirical algorithm to forecast the evolution of the number of COVID-19 symptomatic patients in the early stages of the pandemic spread and after strict social distancing interventions. The algorithm is based on a low…

Populations and Evolution · Quantitative Biology 2020-11-20 Luis Alvarez

Epidemic outbreaks of new pathogens, or known pathogens in new populations, cause a great deal of fear because they are hard to predict. For theoretical models of disease spreading, on the other hand, quantities characterizing the outbreak…

Populations and Evolution · Quantitative Biology 2015-05-20 Petter Holme , Taro Takaguchi

By the end of 2020, a year since the first cases of infection by the Covid-19 virus have been reported, there is a light at the end of the tunnel. Several pharmaceutical companies made significant progress in developing effective vaccines…

Populations and Evolution · Quantitative Biology 2021-08-04 Hilla De-Leon , Francesco Pederiva

We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In…

Populations and Evolution · Quantitative Biology 2022-03-03 Michael Bestehorn , Thomas M. Michelitsch , Bernard A. Collet , Alejandro P. Riascos , Andrzej F. Nowakowski

This paper focuses on the analysis of a stochastic SAIRS-type epidemic model that explicitly incorporates the roles of asymptomatic and symptomatic infectious individuals in disease transmission dynamics. Asymptomatic carriers, often…

Populations and Evolution · Quantitative Biology 2025-01-14 Brahim Boukanjime , Mohamed El Fatini , Mohamed Maama

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The…

Physics and Society · Physics 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

In this paper, we present a susceptible-infected-recovered (SIR) model with individuals wearing facial masks and individuals who do not. The disease transmission rates, the recovering rates and the fraction of individuals who wear masks are…

Physics and Society · Physics 2021-06-01 Duan-Shin Lee , Miao Zhu

In this paper we create a compartmental, stochastic process model of SARS-CoV-2 transmission, where the process's mean and variance have distinct dynamics. The model is fit to time series data from Washington from January 2020 to March 2021…

Populations and Evolution · Quantitative Biology 2022-05-05 Niket Thakkar , Mike Famulare

The spread of COVID-19 has been greatly impacted by regulatory policies and behavior patterns that vary across counties, states, and countries. Population-level dynamics of COVID-19 can generally be described using a set of ordinary…

Applications · Statistics 2022-04-11 Joshua P. Keller , Tianjian Zhou , Andee Kaplan , G. Brooke Anderson , Wen Zhou

We model an epidemic where the per-person infectiousness in a network of geographic localities changes with the total number of active cases. This would happen as people adopt more stringent non-pharmaceutical precautions when the…

Social and Information Networks · Computer Science 2021-12-07 Akhil Bhimaraju , Avhishek Chatterjee , Lav R. Varshney

We define and study an open stochastic SIR (Susceptible -- Infected -- Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same…

Probability · Mathematics 2019-03-28 Pierre Montagnon

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

Populations and Evolution · Quantitative Biology 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

Following the emergence of a novel coronavirus (SARS-CoV-2) and its spread outside of China, Europe has experienced large epidemics. In response, many European countries have implemented unprecedented non-pharmaceutical interventions…