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The aim of this study is to propose a modified Susceptible-Exposed-Infectious-Removed (SEIR) model that describes the behaviour of symptomatic, asymptomatic and hospitalized patients of COVID-19 epidemic, including the effect of demographic…

Compartmental models are popular in the mathematics of epidemiology for their simplicity and wide range of applications. Although they are typically solved as initial value problems for a system of ordinary differential equations, the…

种群与进化 · 定量生物学 2022-10-12 Eduard Campillo-Funollet , Hayley Wragg , James Van Yperen , Duc-Lam Duong , Anotida Madzvamuse

A class of multiple-timescale asymptotic solutions to the equations of the susceptible-infected-recovered (SIR) model is presented for the case of high basic reproduction number, with the inverse of the latter employed as the expansion…

种群与进化 · 定量生物学 2025-12-25 Oleg B. Shiryaev

The purpose of this work is to give a contribution to the understanding of the COVID-19 contagion in Italy. To this end, we developed a modified Susceptible-Infected-Recovered (SIR) model for the contagion, and we used official data of the…

物理与社会 · 物理学 2020-04-01 Giuseppe C. Calafiore , Carlo Novara , Corrado Possieri

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

最优化与控制 · 数学 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

I estimate the Susceptible-Infected-Recovered (SIR) epidemic model for Coronavirus Disease 2019 (COVID-19). The transmission rate is heterogeneous across countries and far exceeds the recovery rate, which enables a fast spread. In the…

种群与进化 · 定量生物学 2020-03-27 Alexis Akira Toda

We study a symmetric two-disease SIR co-infection model on networks in which co-infected individuals recover at a rate distinct from that of single infections. The model explicitly represents all co-infection states and features absorbing…

A study of changes in the transmission of a disease, in particular, a new disease like COVID-19, requires very flexible models which can capture, among others, the effects of non-pharmacological and pharmacological measures, changes in…

统计方法学 · 统计学 2026-05-07 Hristo Inouzhe , María Xosé Rodríguez-Álvarez , Lorenzo Nagar , Elena Akhmatskaya

The COVID-19 pandemic constitutes one of the largest threats in recent decades to the health and economic welfare of populations globally. In this paper, we analyze different types of policy measures designed to fight the spread of the…

综合经济学 · 经济学 2020-11-03 Philipp Bach , Victor Chernozhukov , Martin Spindler

We consider the SIR model and study the first time the number of infected individuals begins to decrease and the first time this population is below a given threshold. We interpret these times as functions of the initial susceptible and…

经典分析与常微分方程 · 数学 2020-09-23 Ryan Hynd , Dennis Ikpe , Terrance Pendleton

A mathematical model was developed describing the dynamic of the COVID-19 virus over a population considering that the infected can either be symptomatic or not. The model was calibrated using data on the confirmed cases and death from…

种群与进化 · 定量生物学 2020-04-14 Jayrold P. Arcede , Randy L. Caga-anan , Cheryl Q. Mentuda , Youcef Mammeri

For the description of a pandemic mathematical models could be interesting. Both for physicians and politicians as a base for decisions to treat the disease. The responsible estimation of parameters is a main issue of mathematical pandemic…

种群与进化 · 定量生物学 2020-04-15 Günter Bärwolff

In contrast to the common assumption in epidemic models that the rate of infection between individuals is constant, in reality, an individual's viral load determines their infectiousness. We compare the average and individual reproductive…

种群与进化 · 定量生物学 2021-12-07 Nicholas Landry

We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural changes in their behaviours happen at the same time. We resort to…

统计方法学 · 统计学 2024-10-15 Riccardo Corradin , Luca Danese , Wasiur R. KhudaBukhsh , Andrea Ongaro

We used Bayesian model inversion to estimate epidemic parameters from the reported case and death rates from seven countries using data from late January 2020 to April 5th 2020. Two distinct generative model types were employed: first a…

With the covid-19 pandemic still ongoing and an enormous amount of test data available, the lessons learned over the last two years need to be developed to a point where they can provide understanding for tackling new variants and future…

种群与进化 · 定量生物学 2022-06-09 Adam Mielke

The mobility patterns of individuals in China during the early outbreak of the COVID-19 pandemic exhibit reversible changes -- in many regions, the mobility first decreased significantly and later restored. Based on this observation, here…

物理与社会 · 物理学 2022-10-25 Xincheng Shu , Zhongyuan Ruan

To combat the coronavirus disease 2019 (COVID-19) pandemic, the world has vaccination, plasma therapy, herd immunity, and epidemiological interventions as few possible options. The COVID-19 vaccine development is underway and it may take a…

机器学习 · 计算机科学 2020-08-26 Hanuman Verma , Akshansh Gupta , Utkarsh Niranjan

Mathematical models of infectious diseases exhibit robust dynamics such as stable endemic or a disease-free equilibrium, or convergence of the solutions to periodic epidemic waves. The present work shows that the accuracy of such dynamics…

应用统计 · 统计学 2022-05-04 Hadeel AlQadi , Majid Bani-Yaghoub

In this paper, we propose a new real-time differential virus transmission model, which can give more accurate and robust short-term predictions of COVID-19 transmitted infectious disease with benefits of near-term trend projection.…

种群与进化 · 定量生物学 2020-05-05 Sheldon X. D. Tan , Liang Chen