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We present two new models for interacting populations subject to a transmissible disease. The novelty lies in the assumption that herd behavior influences the disease incidence, rather than the demographic description of the interactions,…

Dynamical Systems · Mathematics 2014-05-19 Ezio Venturino

Recommendations around epidemics tend to focus on individual behaviors, with much less efforts attempting to guide event cancellations and other collective behaviors since most models lack the higher-order structure necessary to describe…

Epidemic spreading can be suppressed by the introduction of containment measures such as social distancing and lock downs. Yet, when such measures are relaxed, new epidemic waves and infection cycles may occur. Here we explore this issue in…

Physics and Society · Physics 2020-12-07 Fabio Caccioli , Daniele De Martino

We discuss the connection between information and copula theories by showing that a copula can be employed to decompose the information content of a multivariate distribution into marginal and dependence components, with the latter…

Statistical Finance · Quantitative Finance 2011-10-26 Rafael S. Calsaverini , Renato Vicente

We study a dynamical model of epidemic spreading on complex networks in which there are explicit correlations among the node's connectivities. For the case of Markovian complex networks, showing only correlations between pairs of nodes, we…

Statistical Mechanics · Physics 2009-11-07 Marian Boguna , Romualdo Pastor-Satorras

Network epidemiology often assumes that the relationships defining the social network of a population are static. The dynamics of relationships is only taken indirectly into account, by assuming that the relevant information to study…

Populations and Evolution · Quantitative Biology 2010-04-09 Sebastian Risau-Gusman

Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David Chavalarias

There has been much recent interest in modelling epidemics on networks, particularly in the presence of substantial clustering. Here, we develop pairwise methods to answer questions that are often addressed using epidemic models, in…

Populations and Evolution · Quantitative Biology 2010-12-10 Thomas House , Matt J Keeling

The importance of modeling the spread of epidemics through a population has led to the development of mathematical models for infectious disease propagation. A number of empirical studies have collected and analyzed data on contacts between…

Social and Information Networks · Computer Science 2017-07-28 Rehan Ahmad , Kevin S. Xu

Though the studies of social contagions are regularly borrowing network models to study the propagation of social influences and opinions to include social heterogeneity. Such studies provide valuable insights regarding these, but the…

Physics and Society · Physics 2023-09-28 Dibyajyoti Mallick , Kumar Gaurav , Saumik Bhattacharya , Sayantari Ghosh

We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

Physics and Society · Physics 2013-07-23 Wojciech Ganczarek

We consider the class of SIS epidemic models in which a large population of individuals chooses whether to adopt protection or to remain unprotected as the epidemic evolves. For a susceptible individual, adopting protection reduces the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Abhisek Satapathi , Narendra Kumar Dhar , Ashish R. Hota , Vaibhav Srivastava

Time-to-event semi-competing risk endpoints may be correlated when both events are occurring on the same individual. These events and the association between them may also be influenced by individual characteristics. In this paper, we…

Methodology · Statistics 2023-04-07 Yinghui Wei , Malgorzata Wojtys , Lexy Sorrell , Peter Rowe

The spread of an epidemic disease and the population's collective behavioural response are deeply intertwined, influencing each other's evolution. Such a co-evolution typically has been overlooked in mathematical models, limiting their…

Dynamical Systems · Mathematics 2024-10-24 Kathinka Frieswijk , Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Ming Cao

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,…

Social and Information Networks · Computer Science 2021-08-11 Qinyi Chen , Mason A. Porter

Solving cybersecurity issues requires a holistic understanding of components, factors, structures and their interactions in cyberspace, but conventional modeling approaches view the field of cybersecurity by their boundaries so that we are…

Cryptography and Security · Computer Science 2020-01-17 Dingyu Yan

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

Physics and Society · Physics 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

To understand the contact patterns of a population -- who is in contact with whom, and when the contacts happen -- is crucial for modeling outbreaks of infectious disease. Traditional theoretical epidemiology assumes that any individual can…

Populations and Evolution · Quantitative Biology 2015-10-22 Petter Holme

Recently, motivated by the pioneer works that reveal the small-world effect and scale-free property of various real-life networks, many scientists devote themselves into studying complex networks. One of the ultimate goals is to understand…

Physics and Society · Physics 2007-05-23 Tao Zhou , Zhong-Qian Fu , Bing-Hong Wang