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COVID-19 is a new pandemic disease that is affecting almost every country with a negative impact on social life and economic activities. The number of infected and deceased patients continues to increase globally. Mathematical models can…

The Bayesian analysis of infectious disease surveillance data from multiple locations typically involves building and fitting a spatio-temporal model of how the disease spreads in the structured population. Here we present new generally…

Methodology · Statistics 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

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

Epidemiological simulations as a method are used to better understand and predict the spreading of infectious diseases, for example of COVID-19. This paper presents an approach that combines person-centric data-driven human mobility…

Dynamics of the infectious disease transmission is often best understood taking into account the structure of population with respect to specific features, in example age or immunity level. Practical utility of such models depends on the…

Applications · Statistics 2016-06-21 Piotr Gwiazda , Błażej Miasojedow , Magdalena Rosińska

We present three data driven model-types for COVID-19 with a minimal number of parameters to provide insights into the spread of the disease that may be used for developing policy responses. The first is exponential growth, widely studied…

Populations and Evolution · Quantitative Biology 2022-05-25 Andrea L. Bertozzi , Elisa Franco , George Mohler , Martin B. Short , Daniel Sledge

Contact-tracing is an essential tool in order to mitigate the impact of pandemic such as the COVID-19. In order to achieve efficient and scalable contact-tracing in real time, digital devices can play an important role. While a lot of…

The present paper introduces a data-driven framework for describing the time-varying nature of an SIRD model in the context of COVID-19. By embedding a rolling regression in a mixed integer bilevel nonlinear programming problem, our aim is…

Populations and Evolution · Quantitative Biology 2021-03-04 Javier Rubio-Herrero , Yuchen Wang

Over the past two decades there has been a number of global outbreaks of viral diseases. This has accelerated the efforts to model and forecast the disease spreading, in order to find ways to confine the spreading regionally and between…

Physics and Society · Physics 2020-07-22 Rafael A. Barrio , Kimmo K. Kaski , Gudmundur G. Haraldsson , Thor Aspelund , Tzipe Govezensky

To strengthen inferences meta analyses are commonly used to summarize information from a set of independent studies. In some cases, though, the data may not satisfy the assumptions underlying the meta analysis. Using three Bayesian methods…

Applications · Statistics 2022-04-07 Dexter Cahoy , Joseph Sedransk

We propose a detailed discrete-time model of COVID-19 epidemics coming in two flavours, mean-field and probabilistic. The main contribution lies in several extensions of the basic model that capture i) user mobility - distinguishing…

Applications · Statistics 2020-09-14 M. Akian , L. Ganassali , S. Gaubert , L. Massoulié

We examine the spatial modeling of the outbreak of COVID-19 in two regions: the autonomous community of Andalusia in Spain and the mainland of Greece. We start with a 0D compartmental epidemiological model consisting of Susceptible,…

Populations and Evolution · Quantitative Biology 2021-08-18 P. G. Kevrekidis , J. Cuevas-Maraver , Y. Drossinos , Z. Rapti , G. A. Kevrekidis

The widespread, and in many countries unprecedented, use of non-pharmaceutical interventions (NPIs) during the COVID-19 pandemic has highlighted the need for mathematical models which can estimate the impact of these measures while…

We develop a new structured compartmental model for the coevolutionary dynamics between susceptible and infectious individuals in heterogeneous SI epidemiological systems. In this model, the susceptible compartment is structured by a…

Populations and Evolution · Quantitative Biology 2024-10-10 Tommaso Lorenzi , Elisa Paparelli , Andrea Tosin

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…

Knowledge of the severity of an influenza outbreak is crucial for informing and monitoring appropriate public health responses, both during and after an epidemic. However, case-fatality, case-intensive care admission and…

We present a phenomenological procedure of dealing with the COVID--19 data provided by government health agencies of eleven different countries. Instead of using the (exact or approximate) solutions to the SIR (or other) model(s) to fit the…

Physics and Society · Physics 2020-12-02 Sergio A. Hojman , Felipe A. Asenjo

Determinants of COVID-19 clinical severity are commonly assessed by transverse or longitudinal studies of the fatality counts. However, the fatality counts depend both on disease clinical severity and transmissibility, as more infected also…

Populations and Evolution · Quantitative Biology 2021-09-02 Sofija Markovic , Andjela Rodic , Igor Salom , Ognjen Milicevic , Magdalena Djordjevic , Marko Djordjevic

We propose an SEIR-type meta-population model to simulate and monitor the Covid-19 epidemic evolution. The basic model consists of seven compartments, namely susceptible (S), exposed (E), three infective classes, recovered (R), and deceased…

Populations and Evolution · Quantitative Biology 2020-11-18 Vinicius V. L. Albani , Roberto M. Velho , Jorge P. Zubelli

Infectious disease spread is a multi-scale process composed of within-host (biological) and between-host (social) drivers and disentangling them from each other is a central challenge in epidemiology. Here, we introduce VIBES, a multi-scale…