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We consider the spread of infectious disease through contact networks of Configuration Model type. We assume that the disease spreads through contacts and infected individuals recover into an immune state. We discuss a number of existing…

Populations and Evolution · Quantitative Biology 2014-03-11 Joel C Miller , Istvan Z Kiss

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

Transmission models for infectious diseases are typically formulated in terms of dynamics between individuals or groups with processes such as disease progression or recovery for each individual captured phenomenologically, without…

Count-valued autoregressions are widely used to analyse time-series of reported infectious-disease cases because of their close connection with discrete-time transmission models. However, when such models are applied directly to…

Applications · Statistics 2025-09-16 Justin J. Slater , Sindi Bebeziqi

The COVID-19 pandemic has witnessed the role of online social networks (OSNs) in the spread of infectious diseases. The rise in severity of the epidemic augments the need for proper guidelines, but also promotes the propagation of fake…

Dynamical Systems · Mathematics 2024-06-11 Madhu Dhiman , Chen Peng , Veeraruna Kavitha , Quanyan Zhu

Scientific advice to the UK government throughout the COVID-19 pandemic has been informed by ensembles of epidemiological models provided by members of the Scientific Pandemic Influenza group on Modelling (SPI-M). Among other applications,…

Applications · Statistics 2021-08-13 D. S. Silk , V. E. Bowman , D. Semochkina , U. Dalrymple , D. C. Woods

Motivated by the ongoing pandemic COVID-19, we propose a closed-loop framework that combines inference from testing data, learning the parameters of the dynamics and optimal resource allocation for controlling the spread of the…

Physics and Society · Physics 2021-04-27 Ashish R. Hota , Jaydeep Godbole , Philip E Paré

In this study, we present a new epidemiological model, with contamination from confirmed and unreported. We also compute equilibria and study their stability without intervention strategies. Optimal control theory has proven to be a…

Populations and Evolution · Quantitative Biology 2020-08-14 Fulgence Mansal , Mouhamadou A. M. T. Baldé , Alpha O. Bah

The global outbreak of the novel corona virus (COVID-19) disease has drastically impacted the world and led to one of the most challenging crisis across the globe since World War II. The early diagnosis and isolation of COVID-19 positive…

Compartmental models like the Susceptible-Infected-Recovered (SIR)\cite{Kermack1927} and its extensions such as the Susceptible-Exposed-Infected-Recovered (SEIRS)\cite{Ottar2020,Ignazio2021,Grimm2021,Paoluzzi2021} are commonly used to model…

Populations and Evolution · Quantitative Biology 2025-07-14 Kasturi Banerjee , Subhankar Ray , Jayalakshmi Shamanna

This paper presents a critical analysis of the literature and perspective research ideas for modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic population dynamics to consider several key complexity features…

Populations and Evolution · Quantitative Biology 2025-01-24 Giulia Bertaglia , Andrea Bondesan , Diletta Burini , Raluca Eftimie , Lorenzo Pareschi , Giuseppe Toscani

A significant proportion of the infections driving the current {SARS-CoV-2} pandemic are transmitted asymptomatically. Here we introduce and study a simple epidemic model with separate compartments comprising asymptomatic and symptomatic…

Populations and Evolution · Quantitative Biology 2022-10-12 Maurice Görtz , Joachim Krug

We demonstrate that the epidemic renormalisation group approach to pandemics provides an effective and simple way to investigate the dynamics of disease transmission and spreading across different regions of the world. The framework also…

Physics and Society · Physics 2020-05-12 Giacomo Cacciapaglia , Francesco Sannino

Understanding the spatio-temporal patterns of the coronavirus disease 2019 (COVID-19) is essential to construct public health interventions. Spatially referenced data can provide richer opportunities to understand the mechanism of the…

Methodology · Statistics 2022-07-15 Jaewoo Park , Seorim Yi , Won Chang , Jorge Mateu

Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

Accurate forecasts of COVID-19 is central to resource management and building strategies to deal with the epidemic. We propose a heterogeneous infection rate model with human mobility for epidemic modeling, a preliminary version of which we…

Populations and Evolution · Quantitative Biology 2020-05-06 Ajitesh Srivastava , Viktor K. Prasanna

The COVID-19 epidemic has swept the world for over a year. However, a large number of infectious asymptomatic COVID-19 cases (\textit{ACC}s) are still making the breaking up of the transmission chains very difficult. Efforts by…

Social and Information Networks · Computer Science 2021-10-26 Yue Hu , Budhitama Subagdja , Ah-Hwee Tan , Chai Quek , Quanjun Yin

Nowadays, due to the SARS-CoV-2 pandemic, epidemic modelling is experiencing a constantly growing interest from researchers of heterogeneous fields of study. Indeed, the vast literature on computational epidemiology offers solid grounds for…

Social and Information Networks · Computer Science 2021-06-02 Giulio Rossetti , Letizia Milli , Salvatore Citraro , Virginia Morini

This article proposes an age-structured compartment model for irreversible diseases with a pre-clinical state of undiagnosed cases that precedes the diagnosis. The model is able to cope with mortality rates differing between the…

Populations and Evolution · Quantitative Biology 2014-11-11 Ralph Brinks

The rapid spread of the novel coronavirus (COVID-19) has severely impacted almost all countries around the world. It not only has caused a tremendous burden on health-care providers to bear, but it has also brought severe impacts on the…

Computers and Society · Computer Science 2020-08-18 Shayan Fazeli , Babak Moatamed , Majid Sarrafzadeh
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