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The spread of an undesirable contact process, such as an infectious disease (e.g. COVID-19), is contained through testing and isolation of infected nodes. The temporal and spatial evolution of the process (along with containment through…

Machine Learning · Computer Science 2023-03-24 Xingran Chen , Hesam Nikpey , Jungyeol Kim , Saswati Sarkar , Shirin Saeedi-Bidokhti

Records of social interactions provide us with new sources of data for understanding how interaction patterns affect collective dynamics. Such human activity patterns are often bursty, i.e., they consist of short periods of intense activity…

Physics and Society · Physics 2015-06-05 Taro Takaguchi , Naoki Masuda , Petter Holme

The study proposes a modeling framework for investigating the disease dynamics with adaptive human behavior during a disease outbreak, considering the impacts of both local observations and global information. One important application…

Physics and Society · Physics 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

Mathematical models are formal and simplified representations of the knowledge related to a phenomenon. In classical epidemic models, a neglected aspect is the heterogeneity of disease transmission and progression linked to the viral load…

Physics and Society · Physics 2022-05-10 Rossella Della Marca , Nadia Loy , Andrea Tosin

The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative…

Populations and Evolution · Quantitative Biology 2019-07-24 Juan G. Calvo , Alberto Hernández , Mason A. Porter , Fabio Sanchez

Much effort has been directed towards using mathematical models to understand and predict contagious disease, in particular Ebola outbreaks. Classical SIR (susceptible-infected-recovered) compartmental models capture well the dynamics of…

Populations and Evolution · Quantitative Biology 2015-12-22 Anca Radulescu , Joanna Herron

Contacts' temporal ordering and dynamics are crucial for understanding the transmission of infectious diseases. We introduce an interaction-driven model of an airborne disease over contact networks. We demonstrate our interaction-driven…

Social and Information Networks · Computer Science 2022-08-11 Alex Abbey , Yanir Marmor , Yuval Shahar , Osnat Mokryn

We have derived the governing equations for an SIR model with delay terms in both the infectivity and recovery of the disease. The equations are derived by modelling the dynamics as a continuous time random walk, where individuals move…

Dynamical Systems · Mathematics 2024-10-14 Christopher N. Angstmann , Stuart-James M. Burney , Anna V. McGann , Zhuang Xu

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

The prediction of the behavior of the disease, the level of affectation in a population and the ways to control it are the most important aspects studied by epidemiology using tools such as historical data and mathematical models. So, our…

Dynamical Systems · Mathematics 2022-04-04 Jorge Andrés Ibáñez Huertas , Carlos Isaac Zainea Maya

The temporal dynamics of social interactions were shown to influence the spread of disease. Here, we model the conditions of progression and competition for several viral strains, exploring various levels of cross-immunity over temporal…

Physics and Society · Physics 2022-06-14 Alex Abbey , Yuval Shahar , Osnat Mokryn

In this article we propose a compartmental model for the dynamics of Coronavirus Disease 2019 (COVID-19). We take into account the presence of asymptomatic infections and the main policies that have been adopted so far to contain the…

Populations and Evolution · Quantitative Biology 2020-05-18 M. Soledad Aronna , Roberto Guglielmi , Lucas M. Moschen

In general, the rates of infection and removal (whether through recovery or death) are nonlinear functions of the number of infected and susceptible individuals. One of the simplest models for the spread of infectious diseases is the SIR…

Populations and Evolution · Quantitative Biology 2026-05-11 Seong Jun Park , M. Y. Choi

This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information…

Quantitative Methods · Quantitative Biology 2018-05-14 G. O. Agaba , Y. N. Kyrychko , K. B. Blyuss

Human mobility, contact patterns, and their interplay are key aspects of our social behavior that shape the spread of infectious diseases across different regions. In the light of new evidence and data sets about these two elements,…

Physics and Society · Physics 2021-07-26 Wesley Cota , David Soriano-Paños , Alex Arenas , Silvio C. Ferreira , Jesús Gómez-Gardeñes

Biological evolution of a population is governed by the fitness landscape, which is a map from genotype to fitness. However, a fitness landscape depends on the organisms environment, and evolution in changing environments is still poorly…

Populations and Evolution · Quantitative Biology 2022-09-26 Suman G Das , Joachim Krug , Muhittin Mungan

The spread of certain diseases can be promoted, in some cases substantially, by prior infection with another disease. One example is that of HIV, whose immunosuppressant effects significantly increase the chances of infection with other…

Physics and Society · Physics 2014-08-04 M. E. J. Newman , C. R. Ferrario

Early outbreak detection is a key aspect in the containment of infectious diseases, as it enables the identification and isolation of infected individuals before the disease can spread to a larger population. Instead of detecting unexpected…

Machine Learning · Computer Science 2021-10-19 Michael Rapp , Moritz Kulessa , Eneldo Loza Mencía , Johannes Fürnkranz

From pathogens and computer viruses to genes and memes, contagion models have found widespread utility across the natural and social sciences. Despite their success and breadth of adoption, the approach and structure of these models remain…

We present an SI epidemic model whereby a continuous variable captures variability in proliferative potential and resistance to infection among susceptibles. The occurrence of heritable, spontaneous changes in these phenotype and the…

Populations and Evolution · Quantitative Biology 2021-12-30 Tommaso Lorenzi , Andrea Pugliese , Mattia Sensi , Agnese Zardini
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