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Related papers: An SIR model with viral load-dependent transmissio…

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Epidemic modelling on complex networks has been studied intensively all the time. The majority of relative research assumes that the time scale of the underlying network evolution is much larger compared to the propagation dynamics on it,…

Physics and Society · Physics 2026-04-14 Minyu Feng , Yuhan Li , Jürgen Kurths

We study viral transmission in crowds via the short-ranged airborne pathway using a purely model-based approach. Our goal is two-pronged. Firstly, we illustrate with a concrete and pedagogical case study how to estimate the risks of new…

Multiagent Systems · Computer Science 2023-12-05 Alexandre Nicolas , Simon Mendez

We perform a bifurcation analysis on an SIR model involving two pathogens that influences each other. Partial cross-immunity is assumed and coinfection is thought to be less transmittable then each of the diseases alone. The susceptible…

Dynamical Systems · Mathematics 2022-09-09 J. Andersson , V. Kozlov , V. G. Tkachev , U. Wennergren

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

This article is devoted to the analysis of a particle system model for epidemics among a finite population with susceptible, infective and removed individuals (SIR). The infection mechanism depends on the relative distance between…

Probability · Mathematics 2020-03-10 Monia Capanna

A generalisation of the Susceptible-Infectious model is made to include a time-dependent transmission rate, which leads to a close analytical expression in terms of a logistic function. The solution can be applied to any continuous function…

Physics and Society · Physics 2020-10-08 L. Arturo Urena-Lopez , Alma X. Gonzalez-Morales

Viral load (VL) in the respiratory tract is the leading proxy for assessing infectiousness potential. Understanding the dynamics of disease-related VL within the host is very important and help to determine different policy and health…

Applications · Statistics 2023-08-21 Yonatan Woodbridge , Micha Mandel , Yair Goldberg , Amit Huppert

A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the…

Analysis of PDEs · Mathematics 2023-06-28 Christoph Walker

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

Knowing which individuals can be more efficient in spreading a pathogen throughout a determinate environment is a fundamental question in disease control. Indeed, over the last years the spread of epidemic diseases and its relationship with…

Identifying the relative importance of the different transmission routes of the SARS-CoV-2 virus is an urgent research priority. To that end, the different transmission routes, and their role in determining the evolution of the Covid-19…

Populations and Evolution · Quantitative Biology 2020-12-08 Swetaprovo Chaudhuri , Saptarshi Basu , Abhishek Saha

We use the susceptible-infected-recovered (SIR) model for disease spread over a network, and empirically study how well various centrality measures perform at identifying which nodes in a network will be the best spreaders of disease on 10…

Social and Information Networks · Computer Science 2012-08-23 Brian Macdonald , Paulo Shakarian , Nicholas Howard , Geoffrey Moores

The Susceptible-Infected-Recovered (SIR) model is studied in multilayer networks with arbitrary number of links across the layers. By following the mapping to bond percolation we give the analytical expression for the epidemic threshold and…

Populations and Evolution · Quantitative Biology 2017-03-09 Ginestra Bianconi

We study a stochastic epidemic model with multiple patches (locations), where individuals in each patch are categorized into three compartments, Susceptible, Infected and Recovered/Removed, and may migrate from one patch to another in any…

Probability · Mathematics 2023-08-21 Guodong Pang , Etienne Pardoux

The effective control of infectious diseases relies on accurate assessment of the impact of interventions, which is often hindered by the complex dynamics of the spread of disease. A Beta-Dirichlet switching state-space transmission model…

Methodology · Statistics 2024-04-30 Jingxue Feng , Liangliang Wang

We study the spreading of a disease on top of structured scale-free networks recently introduced. By means of numerical simulations we analyze the SIS and the SIR models. Our results show that when the connectivity fluctuations of the…

Statistical Mechanics · Physics 2009-11-07 Yamir Moreno , Alexei Vazquez

We develop a spatially dependent generalisation to the Wells-Riley model and its extensions applied to COVID-19, that determines the infection risk due to airborne transmission of viruses. We assume that the concentration of infectious…

Quantitative Methods · Quantitative Biology 2021-05-19 Zechariah Lau , Ian M. Griffiths , Aaron English , Katerina Kaouri

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

Quantitative Methods · Quantitative Biology 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

In epidemiology, an epidemic is defined as the spread of an infectious disease to a large number of people in a given population within a short period of time. In the marketing context, a message is viral when it is broadly sent and…

Social and Information Networks · Computer Science 2016-11-15 Helena Sofia Rodrigues , Manuel José Fonseca

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

Populations and Evolution · Quantitative Biology 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku
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