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We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection. In our model, a population dynamically forms an opinion…

In this study, we propose a time-dependent Susceptible-Exposed-Infected-Recovered (SEIR) model for the analysis of the SARS-CoV-2 epidemic outbreak in three different countries, the United States of America, Italy and Iceland using public…

种群与进化 · 定量生物学 2021-11-08 P. Girardi , C. Gaetan

Diagnostic testing followed by isolation of identified cases with subsequent tracing and quarantine of close contacts - often referred to as test-trace-isolate-and-quarantine (TTIQ) strategy - is one of the cornerstone measures of…

种群与进化 · 定量生物学 2024-03-14 Julian Heidecke , Jan Fuhrmann , Maria Vittoria Barbarossa

We have developed a globally applicable diagnostic Covid-19 model by augmenting the classical SIR epidemiological model with a neural network module. Our model does not rely upon previous epidemics like SARS/MERS and all parameters are…

物理与社会 · 物理学 2020-11-24 Raj Dandekar , Chris Rackauckas , George Barbastathis

The COVID-19 pandemic has proved to be one of the most disruptive public health emergencies in recent memory. Among non-pharmaceutical interventions, social distancing and lockdown measures are some of the most common tools employed by…

动力系统 · 数学 2021-02-16 Carl Corcoran , John Michael Clark

We analyze two alterations of the standard susceptible-infected-susceptible (SIS) dynamics that preserve the central properties of spontaneous healing and infection capacity of a vertex increasing unlimitedly with its degree. All models…

物理与社会 · 物理学 2018-07-19 Wesley Cota , Angélica S. Mata , Silvio C. Ferreira

In this paper, we propose and analyze a reaction-diffusion susceptible-infected-susceptible (SIS) epidemic patch model. The individuals are assumed to reside in different patches, where they are able to move inside and among the patches.…

种群与进化 · 定量生物学 2023-01-18 Shanshan Chen , Yixiang Wu

We present an exact analytical solution to a one-dimensional model of the Susceptible-Infected-Recovered (SIR) epidemic type, with infection rates dependent on nearest-neighbor occupations. We use a quantum mechanical approach, transforming…

统计力学 · 物理学 2015-05-30 H. Thomas Williams , Irina Mazilu , Dan Mazilu

In the study of infectious diseases on networks, researchers calculate epidemic thresholds to help forecast whether a disease will eventually infect a large fraction of a population. Because network structure typically changes in time,…

社会与信息网络 · 计算机科学 2021-08-11 Qinyi Chen , Mason A. Porter

The spread of infectious diseases crucially depends on the pattern of contacts among individuals. Knowledge of these patterns is thus essential to inform models and computational efforts. Few empirical studies are however available that…

In this paper, we analyze dynamic switching networks, wherein the networks switch arbitrarily among a set of topologies. For this class of dynamic networks, we derive an epidemic threshold, considering the SIS epidemic model. First, an…

社会与信息网络 · 计算机科学 2015-08-03 Mohammad Reza Sanatkar , Warren N. White , Balasubramaniam Natarajan , Caterina Scoglio , Karren A. Garrett

Pairwise models are used widely to model epidemic spread on networks. These include the modelling of susceptible-infected-removed (SIR) epidemics on regular networks and extensions to SIS dynamics and contact tracing on more exotic networks…

种群与进化 · 定量生物学 2018-09-24 István Z. Kiss , Joel C. Miller , Péter L. Simon

The spread of infectious diseases is a major challenge in our contemporary world, especially after the recent outbreak of Coronavirus disease 2019 (COVID-19). The quarantine strategy is one of the important intervention measures to control…

动力系统 · 数学 2020-12-03 Driss Kiouach , Yassine Sabbar , Salim El Azami El-idrissi

The frequent emergence of diseases with the potential to become threats at local and global scales, such as influenza A(H1N1), SARS, MERS, and recently COVID-19 disease, makes it crucial to keep designing models of disease propagation and…

物理与社会 · 物理学 2020-08-27 I. A. Perez , M. A. Di Muro , C. E. La Rocca , L. A. Braunstein

We study the Susceptible-Infectious-Susceptible (SIS) model on arbitrary networks. The well-established pair approximation treats neighboring pairs of nodes exactly while making a mean field approximation for the rest of the network. We…

社会与信息网络 · 计算机科学 2026-05-05 George Cantwell , Cristopher Moore

We study the threshold of epidemic models in quenched networks with degree distribution given by a power-law. For the susceptible-infected-susceptible (SIS) model the activity threshold lambda_c vanishes in the large size limit on any…

统计力学 · 物理学 2010-12-10 Claudio Castellano , Romualdo Pastor-Satorras

The SIR model is the cornerstone model for mathematical epidemiology, explaining key epidemic features such as the second-order transition between disease-free and epidemic states, the initial exponential growth of outbreaks or the…

种群与进化 · 定量生物学 2026-03-20 Santiago Lamata-Otín , Alex Arenas , Jesús Gómez-Gardeñes , David Soriano-Paños

We present a series of SIR-network models, extended with a game-theoretic treatment of imitation dynamics which result from regular population mobility across residential and work areas and the ensuing interactions. Each considered…

种群与进化 · 定量生物学 2019-11-14 Sheryl L. Chang , Mahendra Piraveenan , Mikhail Prokopenko

In this paper, we show how a dynamic population game can model the strategic interaction and migration decisions made by a large population of agents in response to epidemic prevalence. Specifically, we consider a modified…

系统与控制 · 电气工程与系统科学 2022-07-04 Ezzat Elokda , Saverio Bolognani , Ashish R. Hota

The COVID-19 pandemic led several countries to resort to social distancing, the only known way to slow down the spread of the virus and keep the health system under control. Here we use an individual based model (IBM) to study how the…

种群与进化 · 定量生物学 2020-08-18 Vitor M. Marquioni , Marcus A. M. de Aguiar