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Since December 2019, A novel coronavirus (2019-nCoV) has been breaking out in China, which can cause respiratory diseases and severe pneumonia. Mathematical and empirical models relying on the epidemic situation scale for forecasting…

种群与进化 · 定量生物学 2021-01-05 Jingyuan Wang , Xin Lin , Yuxi Liu , Qilegeri , Kai Feng , Hui Lin

We present a new mathematical model to explicitly capture the effects that the three restriction measures: the lockdown date and duration, social distancing and masks, and, schools and border closing, have in controlling the spread of…

种群与进化 · 定量生物学 2020-08-25 Liam Dowling Jones , Malik Magdon-Ismail , Laura Mersini-Houghton , Steven Meshnick

We propose a stochastic SIR model, specified as a system of stochastic differential equations, to analyse the data of the Italian COVID-19 epidemic, taking also into account the under-detection of infected and recovered individuals in the…

种群与进化 · 定量生物学 2021-02-22 Sara Pasquali , Antonio Pievatolo , Antonella Bodini , Fabrizio Ruggeri

In this paper, we conduct mathematical and numerical analyses to address the following crucial questions for COVID-19: (Q1) Is it possible to contain COVID-19? (Q2) When will be the peak and the end of the epidemic? (Q3) How do the…

种群与进化 · 定量生物学 2020-09-22 Yi-Cheng Chen , Ping-En Lu , Cheng-Shang Chang , Tzu-Hsuan Liu

Several analytical models have been used in this work to describe the evolution of death cases arising from coronavirus (COVID-19). The Death or `D' model is a simplified version of the SIR (susceptible-infected-recovered) model, which…

种群与进化 · 定量生物学 2020-11-19 J. E. Amaro , J. Dudouet , J. N. Orce

The dynamics of epidemics depend on how people's behavior changes during an outbreak. At the beginning of the epidemic, people do not know about the virus, then, after the outbreak of epidemics and alarm, they begin to comply with the…

物理与社会 · 物理学 2021-11-29 I. A. Kastalskiy , E. V. Pankratova , E. M. Mirkes , V. B. Kazantsev , A. N. Gorban

The outbreak of COVID-19 in 2020 has led to a surge in interest in the mathematical modeling of infectious diseases. Such models are usually defined as compartmental models, in which the population under study is divided into compartments…

种群与进化 · 定量生物学 2021-02-16 Malú Grave , Alex Viguerie , Gabriel F. Barros , Alessandro Reali , Alvaro L. G. A. Coutinho

How can we learn a dynamical system to make forecasts, when some variables are unobserved? For instance, in COVID-19, we want to forecast the number of infected and death cases but we do not know the count of susceptible and exposed people.…

机器学习 · 计算机科学 2021-04-30 Rui Wang , Danielle Maddix , Christos Faloutsos , Yuyang Wang , Rose Yu

SARS-CoV2, which causes coronavirus disease (COVID-19) is continuing to spread globally and has become a pandemic. People have lost their lives due to the virus and the lack of counter measures in place. Given the increasing caseload and…

The Susceptible-Exposed-Infectious-Recovered (SEIR) model is applied in several countries to ascertain the spread of the coronavirus disease 2019 (COVID-19). We consider discrete-time SEIR epidemic model in a closed system which does not…

动力系统 · 数学 2021-05-04 U. A. Rozikov , S. K. Shoyimardonov

To combat the recent coronavirus disease 2019 (COVID-19), academician and clinician are in search of new approaches to predict the COVID-19 outbreak dynamic trends that may slow down or stop the pandemic. Epidemiological models like…

定量方法 · 定量生物学 2021-09-01 Hanuman Verma , Saurav Mandal , Akshansh Gupta

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 this paper, we propose a deep learning model to forecast the range of increase in COVID-19 infected cases in future days and we present a novel method to compute equidimensional representations of multivariate time series and…

计算机与社会 · 计算机科学 2020-08-04 Ankit Ramchandani , Chao Fan , Ali Mostafavi

This paper is concerned with the well-posedness of a diffusion-reaction system for a Susceptible-Exposed-Infected-Recovered (SEIR) mathematical model. This model is written in terms of four nonlinear partial differential equations with…

偏微分方程分析 · 数学 2023-07-26 Ferdinando Auricchio , Pierluigi Colli , Gianni Gilardi , Alessandro Reali , Elisabetta Rocca

COVID-19 pandemic has had a disruptive and irreversible impact globally, yet traditional epidemiological modeling approaches such as the susceptible-infected-recovered (SIR) model have exhibited limited effectiveness in forecasting of the…

定量方法 · 定量生物学 2022-10-13 Jinhuan Ke , Jiahao Ma , Xiyu Yin , Robin Singh

Susceptible-Exposed-Infectious-Recovered (SEIR) models with inter-individual variation in susceptibility or exposure to infection were proposed early in the COVID-19 pandemic as a potential element of the mathematical/statistical toolset…

应用统计 · 统计学 2025-10-28 Ibrahim Mohammed , Chris Robertson , M. Gabriela M. Gomes

The estimate of the remaining time of an ongoing wave of epidemic spreading is a critical issue. Due to the variations of a wide range of parameters in an epidemic, for simple models such as Susceptible-Infected-Removed (SIR) model, it is…

种群与进化 · 定量生物学 2021-10-12 Anvesh Reddy , Hanesh Koganti , Sai Krishna , Suhas Reddy , Soumyajyoti Biswas

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…

种群与进化 · 定量生物学 2022-05-25 Andrea L. Bertozzi , Elisa Franco , George Mohler , Martin B. Short , Daniel Sledge

The spread of COVID-19 during the initial phase of the first half of 2020 was curtailed to a larger or lesser extent through measures of social distancing imposed by most countries. In this work, we link directly, through machine learning…

种群与进化 · 定量生物学 2020-08-20 G. D. Barmparis , G. P. Tsironis

Throughout human history, epidemics have been a constant presence. Understanding their dynamics is essential to predict scenarios and make substantiated decisions. Mathematical models are powerful tools to describe an epidemic behavior.…

系统与控制 · 电气工程与系统科学 2024-07-26 Walter HMendes aselein , Diego Eckhard