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Related papers: Renormalisation Group approach to pandemics as a t…

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In this paper, we present a model to predict the spread of the Covid-19 epidemic and apply it to the specific case of Italy. We started from a simple Susceptible, Infected, Recovered (SIR) model and we added the condition that, after a…

In this paper we generalise a simple discrete time stochastic SIR type model defined by Tuckwell and Williams. The SIR model by Tuckwell and Williams assumes a homogeneous population, a fixed infectious period, and a strict transition from…

Populations and Evolution · Quantitative Biology 2025-04-21 Carles Rovira

We study variants of the SEIR model for interpreting some qualitative features of the statistics of the Covid-19 epidemic in France. Standard SEIR models distinguish essentially two regimes: either the disease is controlled and the number…

Populations and Evolution · Quantitative Biology 2020-06-25 Jean Dolbeault , Gabriel Turinici

Based on the classical SIR model, we derive a simple modification for the dynamics of epidemics with a known incubation period of infection. The model is described by a system of integro-differential equations. Parameters of our model…

Populations and Evolution · Quantitative Biology 2021-09-01 David B. Saakian

We present an extension of the Li and Lee model to quantify mortality in five European countries during the COVID-19 pandemic. The first two factors are used to model the pre-COVID mortality, with the first layer modelling the common trend…

Applications · Statistics 2022-09-15 Frank van Berkum , Bertrand Melenberg , Michel Vellekoop

As the COVID-19 pandemic evolves, reliable prediction plays an important role for policy making. The classical infectious disease model SEIR (susceptible-exposed-infectious-recovered) is a compact yet simplistic temporal model. The…

Machine Learning · Computer Science 2020-10-20 Yunling Zheng , Zhijian Li , Jack Xin , Guofa Zhou

Over the past several decades there has been a proliferation of epidemiological models with ordinary derivatives replaced by fractional derivatives in an an-hoc manner. These models may be mathematically interesting but their relevance is…

Populations and Evolution · Quantitative Biology 2016-03-31 C. N. Angstmann , B. I. Henry , A. V. McGann

Over the course of the COVID-19 pandemic, Generalised Additive Models (GAMs) have been successfully employed on numerous occasions to obtain vital data-driven insights. In this paper we further substantiate the success story of GAMs,…

A second wave pandemic constitutes an imminent threat to society, with a potentially immense toll in terms of human lives and a devastating economic impact. We employ the epidemic renormalisation group approach to pandemics, together with…

Physics and Society · Physics 2020-07-28 Giacomo Cacciapaglia , Corentin Cot , Francesco Sannino

The present article studies the extension of two deterministic models for describing the novel coronavirus pandemic crisis, the SIR model and the SEIR model. The models were studied and compared to real data in order to support the validity…

Physics and Society · Physics 2020-06-05 P. H. P. Cintra , M. F. Citeli , F. N. Fontinele

Accurate forecasts of the number of newly infected people during an epidemic are critical for making effective timely decisions. This paper addresses this challenge using the SIMLR model, which incorporates machine learning (ML) into the…

Machine Learning · Computer Science 2021-06-04 Roberto Vega , Leonardo Flores , Russell Greiner

This is work in progress. We make it accessible hoping that people might find the idea useful. We propose a discrete, recursive 5-compartment model for the spread of epidemics, which we call {\em SEPIR-model}. Under mild assumptions which…

Populations and Evolution · Quantitative Biology 2020-09-02 Matthias Kreck , Erhard Scholz

The transmission of COVID-19 is dependent on social contacts, the rate of which have varied during the pandemic due to mandated and voluntary social distancing. Changes in transmission dynamics eventually affect hospital admissions and we…

Populations and Evolution · Quantitative Biology 2021-01-05 Philip Gerlee , Julia Karlsson , Ingrid Fritzell , Thomas Brezicka , Armin Spreco , Toomas Timpka , Anna Jöud , Torbjörn Lundh

The effectiveness of face masks as a population level intervention against respiratory viral transmission remains contested. While a large observational literature published during the COVID-19 pandemic reported beneficial effects,…

Applications · Statistics 2026-03-04 Beny Spira , Daniel V. Tausk

Aim of this manuscript is to show a simple method to infer the time-course of new COVID-19 infections (the most important information in order to establish the effect of containment strategies) from available aggregated data, such as number…

Populations and Evolution · Quantitative Biology 2020-04-21 Andrea Pugliese , Sara Sottile

As the world fights to contain and control the spread of the Novel Coronavirus, countries are imposing severe measures from restrictions on travel and social gatherings to complete lockdowns. Lockdowns, though effective in controlling the…

Physics and Society · Physics 2020-05-19 Saket Saurabh , Ayush Trivedi , Nithilaksh P. Lokesh , Bhagyashree Gaikwad

COVID-19 has forced quarantine measures in several countries across the world. These measures have proven to be effective in significantly reducing the prevalence of the virus. To date, no effective treatment or vaccine is available. In the…

Populations and Evolution · Quantitative Biology 2020-12-02 Davide Faranda , Tommaso Alberti

We extend the classical SIR model of infectious disease spread to account for time dependence in the parameters, which also include diffusivities. The temporal dependence accounts for the changing characteristics of testing, quarantine and…

Populations and Evolution · Quantitative Biology 2020-07-03 Zhenlin Wang , Xiaoxuan Zhang , Gregory Teichert , Mariana Carrasco-Teja , Krishna Garikipati

In this paper, we propose a parameter identification methodology of the SIRD model, an extension of the classical SIR model, that considers the deceased as a separate category. In addition, our model includes one parameter which is the…

Machine Learning · Computer Science 2023-08-10 Marian Petrica , Ionel Popescu

This work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work is two-fold. First, the population is divided according to…

Populations and Evolution · Quantitative Biology 2021-05-14 Aycil Cesmelioglu , Kenneth L. Kuttler , Meir Shillor , Anna M. Spagnuolo