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It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major roads have enhanced its propagation in Italy. We propose a new simple model of…

偏微分方程分析 · 数学 2020-11-16 Henri Berestycki , Jean-Michel Roquejoffre , Luca Rossi

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

We present a data-driven optimal control approach which integrates the reported partial data with the epidemic dynamics for COVID-19. We use a basic Susceptible-Exposed-Infectious-Recovered (SEIR) model, the model parameters are…

最优化与控制 · 数学 2020-12-22 Hailiang Liu , Xuping Tian

Graph convolutional neural networks (GCNs) have shown tremendous promise in addressing data-intensive challenges in recent years. In particular, some attempts have been made to improve predictions of Susceptible-Infected-Recovered (SIR)…

机器学习 · 统计学 2025-01-07 Petr Kisselev , Padmanabhan Seshaiyer

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…

种群与进化 · 定量生物学 2021-05-14 Aycil Cesmelioglu , Kenneth L. Kuttler , Meir Shillor , Anna M. Spagnuolo

This document aims to estimate and describe the effects of the social distancing measures implemented in several countries with the expectancy of controlling the spread of COVID-19. The procedure relies on the classic…

种群与进化 · 定量生物学 2021-06-28 Gerardo L. Febres

To reduce the biases of traditional survey-based methods, this paper proposes an epidemic model-based approach to inference the incubation period distribution of COVID-19 utilizing the publicly reported confirmed case number. We construct…

种群与进化 · 定量生物学 2020-07-23 Shiyang Lai , Tianqi Zhao , Ningyuan Fan

A physics-informed neural network (PINN) embedded with the susceptible-infected-removed (SIR) model is devised to understand the temporal evolution dynamics of infectious diseases. Firstly, the effectiveness of this approach is demonstrated…

定量方法 · 定量生物学 2025-04-08 Shuai Han , Lukas Stelz , Horst Stoecker , Lingxiao Wang , Kai Zhou

We build a deep-learning-based SEIR-AIM model integrating the classical Susceptible-Exposed-Infectious-Removed epidemiology model with forecast modules of infection, community mobility, and unemployment. Through linking Google's…

综合经济学 · 经济学 2021-09-22 Lin William Cong , Ke Tang , Bing Wang , Jingyuan Wang

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

We introduce an epidemic spreading model on a network using concepts from percolation theory. The model is motivated by discussing the standard SIR model, with extensions to describe effects of lockdowns within a population. The underlying…

物理与社会 · 物理学 2020-08-26 Fabrizio Croccolo , H. Eduardo Roman

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

物理与社会 · 物理学 2020-09-08 Bnaya Gross , Shlomo Havlin

We present a compartmental SEIAR model of epidemic spread as a generalization of the SEIR model. We believe that the asymptomatic infectious cohort is an omitted part of the understanding of the epidemic dynamics of disease COVID-19. We…

种群与进化 · 定量生物学 2020-04-07 Lenka Pribylova , Veronika Hajnova

We explore the spread of the Coronavirus disease 2019 (COVID-19) in Lebanon by adopting two different approaches: the STEIR model, which is a modified SEIR model accounting for the effect of travel, and a repeated iterations model. We fit…

物理与社会 · 物理学 2020-08-21 Omar El Deeb , Maya Jalloul

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

The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although…

种群与进化 · 定量生物学 2022-11-16 Ryan Wilkinson , Marcus Roper

We define and study an open stochastic SIR (Susceptible -- Infected -- Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same…

概率论 · 数学 2019-03-28 Pierre Montagnon

The effective control of infectious diseases relies on accurate assessment of the impact of interventions, which is often hindered by the complex dynamics of the spread of disease. A Beta-Dirichlet switching state-space transmission model…

统计方法学 · 统计学 2024-04-30 Jingxue Feng , Liangliang Wang

Objective: COVID-19 has spread worldwide and made a huge influence across the world. Modeling the infectious spread situation of COVID-19 is essential to understand the current condition and to formulate intervention measurements.…

机器学习 · 计算机科学 2023-06-23 Ruhan Liu , Jiajia Li , Yang Wen , Huating Li , Ping Zhang , Bin Sheng , David Dagan Feng

A model of reactive social distancing in epidemics is proposed, in which the infection rate changes with the number infected. The final-size equation for the total number that the epidemic will infect can be derived analytically, as can the…

种群与进化 · 定量生物学 2020-03-19 Rose Baker