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The effect of public health interventions on an epidemic are often estimated by adding the intervention to epidemic models. During the Covid-19 epidemic, numerous papers used such methods for making scenario predictions. The majority of…

Methodology · Statistics 2024-10-16 Heejong Bong , Valérie Ventura , Larry Wasserman

We propose a compartmental model for vector-transmitted diseases, such as Malaria and Dengue, spreading over complex networks. Individuals are represented by independent random walkers and vectors by infected nodes. Both walkers and nodes…

Populations and Evolution · Quantitative Biology 2025-05-05 Téo Granger , Thomas M. Michelitsch , Bernard A. Collet , Michael Bestehorn , Alejandro P. Riascos

This paper gives an introduction to rule-based modelling applied to topics in infectious diseases. Rule-based models generalise reaction-based models with reagents that have internal state and may be bound together to form complexes, as in…

Populations and Evolution · Quantitative Biology 2021-08-10 William Waites , Matteo Cavaliere , David Manheim , Jasmina Panovska-Griffiths , Vincent Danos

Our main goal is to examine the role of communities in epidemic spread in a random graph model. More precisely, we consider a random graph model which consists of overlapping complete graphs, representing households, workplaces, school…

Physics and Society · Physics 2023-08-25 Ágnes Backhausz , György J. Székely

Uncertainty can be classified as either aleatoric (intrinsic randomness) or epistemic (imperfect knowledge of parameters). The majority of frameworks assessing infectious disease risk consider only epistemic uncertainty. We only ever…

The COVID-19 pandemic has proved to be one of the most disruptive public health emergencies in recent memory. Among non-pharmaceutical interventions, social distancing and lockdown measures are some of the most common tools employed by…

Dynamical Systems · Mathematics 2021-02-16 Carl Corcoran , John Michael Clark

Non-Euclidean data that are indexed with a scalar predictor such as time are increasingly encountered in data applications, while statistical methodology and theory for such random objects are not well developed yet. To address the need for…

Methodology · Statistics 2021-08-24 Zhenhua Lin , Hans-Georg Müller

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

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have emerged as powerful tools to produce valuable predictions of the evolution of the pandemic, helping public health authorities decide which intervention…

Dynamical Systems · Mathematics 2021-11-18 Lorenzo Zino , Ming Cao

We introduce the concept of epidemic-fitted wavelets which comprise, in particular, as special cases the number $I(t)$ of infectious individuals at time $t$ in classical SIR models and their derivatives. We present a novel method for…

Epidemiological models contain a set of parameters that must be adjusted based on available observations. Once a model has been calibrated, it can be used as a forecasting tool to make predictions and to evaluate contingency plans. It is…

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

Dynamical Systems · Mathematics 2025-11-27 Christian Parkinson , Weinan Wang

This paper suggests parametrically transformed nested error regression models (TNERM), which transform the data flexibly to follow the normal linear mixed regression. We provide a procedure for estimating consistently the parameters of the…

Methodology · Statistics 2018-03-14 Shonosuke Sugasawa , Tatsuya Kubokawa

Epidemic spread in a population is traditionally modeled via compartmentalized models which represent the free evolution of disease in absence of any intervention policies. In addition, these models assume full observability of disease…

Populations and Evolution · Quantitative Biology 2021-06-16 Nitin Kamra , Yizhou Zhang , Sirisha Rambhatla , Chuizheng Meng , Yan Liu

The global pandemic of the 2019-nCov requires the evaluation of policy interventions to mitigate future social and economic costs of quarantine measures worldwide. We propose an epidemiological model for forecasting and policy evaluation…

Applications · Statistics 2020-10-30 Philip Nadler , Shuo Wang , Rossella Arcucci , Xian Yang , Yike Guo

Interval censoring arises frequently in clinical, epidemiological, financial, and sociological studies, where the event or failure of interest is known only to occur within an interval induced by periodic monitoring. We formulate the…

Methodology · Statistics 2016-03-01 Donglin Zeng , Lu Mao , D. Y. Lin

Modeling spreading processes in complex random networks plays an essential role in understanding and prediction of many real phenomena like epidemics or rumor spreading. The dynamics of such systems may be represented algorithmically by…

Social and Information Networks · Computer Science 2012-11-20 S. V. Ivanov , A. V. Boukhanovsky , P. M. A. Sloot

The estimation of unknown parameters in simulations, also known as calibration, is crucial for practical management of epidemics and prediction of pandemic risk. A simple yet widely used approach is to estimate the parameters by minimizing…

Methodology · Statistics 2023-06-26 Chih-Li Sung , Ying Hung

This paper proposes a novel approach to predict epidemiological parameters by integrating new real-time signals from various sources of information, such as novel social media-based population density maps and Air Quality data. We implement…

Machine Learning · Computer Science 2023-07-04 Romain Molinas , César Quilodrán Casas , Rossella Arcucci , Ovidiu Şerban

COVID-19 pandemic has brought to the fore epidemiological models which, though describing a wealth of behaviors, have previously received little attention in signal processing literature. In this work, a generalized time-varying…

Methodology · Statistics 2025-08-13 Barbara Pascal , Samuel Vaiter