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This paper presents a law of large numbers result, as the size of the population tends to infinity, of SIR stochastic epidemic models, for a population distributed over $L$ distinct patches (with migrations between them) and $K$ distinct…

Probability · Mathematics 2022-06-24 Raphaël Forien , Guodong Pang , Étienne Pardoux

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

Social and Information Networks · Computer Science 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

The spread of one disease, in some cases, can stimulate the spreading of another infectious disease. Here, we treat analytically a symmetric coinfection model for spreading of two diseases on a two-layer multiplex network. We allow layer…

Physics and Society · Physics 2016-04-20 N. Azimi-Tafreshi

Knowing which individuals can be more efficient in spreading a pathogen throughout a determinate environment is a fundamental question in disease control. Indeed, over the last years the spread of epidemic diseases and its relationship with…

This paper develops an agent-based disease spread model on a contact network in an effort to guide efforts at surveillance testing in small to moderate facilities such as nursing homes and meat-packing plants. The model employs Monte Carlo…

Populations and Evolution · Quantitative Biology 2021-10-04 Yanyue Ding , Sudesh K. Agrawal , Jincheng Cao , Lauren Meyers , John J. Hasenbein

The recent history of respiratory pathogen epidemics, including those caused by influenza and SARS-CoV-2, has highlighted the urgent need for advanced modeling approaches that can accurately capture heterogeneous disease dynamics and…

Populations and Evolution · Quantitative Biology 2025-04-07 Prescott C. Alexander , Thomas J. Harris , Joy Kitson , Joseph V. Tuccillo , Sara Y. Del Valle , Timothy C. Germann

With the popularity of portable wireless devices it is important to model and predict how information or contagions spread by natural human mobility -- for understanding the spreading of deadly infectious diseases and for improving delay…

Multiagent Systems · Computer Science 2018-09-21 Aria Rezaei , Jie Gao , Jeff M. Phillips , Csaba D. Tóth

Among the realistic ingredients to be considered in the computational modeling of infectious diseases, human mobility represents a crucial challenge both on the theoretical side and in view of the limited availability of empirical data. In…

Physics and Society · Physics 2010-02-04 Duygu Balcan , Vittoria Colizza , Bruno Goncalves , Hao Hu , Jose J. Ramasco , Alessandro Vespignani

The question that how cultural variation emerges has drawn lots of interest in sociological inquiry. Sociologists predominantly study such variation through the lens of social contagion, which mostly attributes cultural variation to the…

Social and Information Networks · Computer Science 2020-11-17 Heng-Chien Liou , Hsuan-Wei Lee

We introduce a new quantity known as the network heterogeneity index, denoted by $\mathcal{H}$, which facilitates the investigation of disease propagation and population persistence in heterogeneous environments. Our mathematical analysis…

Populations and Evolution · Quantitative Biology 2024-10-15 Poroshat Yazdanbakhsh , Mark Anderson , Zhisheng Shuai

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

Social and Information Networks · Computer Science 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Simple models of infectious diseases tend to assume random mixing of individuals, but real interactions are not random pairwise encounters: they occur within various types of gatherings such as workplaces, households, schools, and concerts,…

According to the World Health Organization, dengue fever is the most important mosquito-borne disease of humans, and it is currently estimated that there may be 50 - 100 million yearly dengue infections worldwide. For the purpose to provide…

Populations and Evolution · Quantitative Biology 2016-08-10 L. S. Barsante , K. S. Paixão , K. H. Laass , R. T. N. Cardoso , Á. E. Eiras , J. L. Acebal

An important aspect in jointly analysing networked control systems and their communication is to model the networking in a sufficiently rich but at the same time mathematically tractable way. As such, this paper improves on a recently…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Christian Hespe , Herbert Werner

In the event that a bacteriological or chemical toxin is intro- duced to a water distribution network, a large population of consumers may become exposed to the contaminant. A contamination event may be poorly predictable dynamic process…

Artificial Intelligence · Computer Science 2014-05-15 M. Ehsan Shafiee , Emily M. Zechman

Capturing the structure of a population and characterising contacts within the population are key to reliable projections of infectious disease. Two main elements of population structure -- contact heterogeneity and age -- have been…

Physics and Society · Physics 2025-03-17 Luke Murray Kearney , Emma L. Davis , Matt J. Keeling

Vector-borne epidemics are the result of the combination of different factors such as the crossed contagions between humans and vectors, their demographic distribution and human mobility among others. The current availability of information…

Network cascade refers to diffusion processes in which outcome changes within part of an interconnected population trigger a sequence of changes across the entire network. These cascades are governed by underlying diffusion networks, which…

Social and Information Networks · Computer Science 2025-06-25 Yubai Yuan , Siyu Huang , Abdul Basit Adeel

Given the growth of urbanization and emerging pandemic threats, more sophisticated models are required to understand disease propagation and investigate the impacts of intervention strategies across various city types. We introduce a fully…

Physics and Society · Physics 2020-08-03 Nishant Kumar , Jimi B. Oke , Bat-hen Nahmias-Biran

We formulate a compartmental model for the propagation of a respiratory disease in a patchy environment. The patches are connected through the mobility of individuals, and we assume that disease transmission and recovery are possible during…

Populations and Evolution · Quantitative Biology 2021-10-11 Indrajit Ghosh , Sk Shahid Nadim , Soumyendu Raha , Debnath Pal
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