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Traditional epidemic models consider that individual processes occur at constant rates. That is, an infected individual has a constant probability per unit time of recovering from infection after contagion. This assumption certainly fails…

Populations and Evolution · Quantitative Biology 2013-03-18 Guillermo Abramson , Sebastian Gonçalves , Marcelo F. C. Gomes

The spread of a contagious disease clearly depends on when infected individuals come into contact with susceptible ones. Such effects, however, have remained largely unexplored in the study of epidemic outbreaks. In particular, it remains…

Many pathogens spread primarily via direct contact between infected and susceptible hosts. Thus, the patterns of contacts or contact network of a population fundamentally shapes the course of epidemics. While there is a robust and growing…

Populations and Evolution · Quantitative Biology 2012-08-01 Shweta Bansal , Lauren Ancel Meyers

Contact patterns in populations fundamentally influence the spread of infectious diseases. Current mathematical methods for epidemiological forecasting on networks largely assume that contacts between individuals are fixed, at least for the…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz , Lauren Ancel Meyers

We considered a model for an infectious disease outbreak, when the depletion of susceptible individuals is negligible, and assumed that individuals adapt their behavior according to the information they receive about new cases. In line with…

Populations and Evolution · Quantitative Biology 2025-11-27 Alessia andò , Simone De Reggi , Francesca Scarabel , Rossana Vermiglio , Jianhong Wu

Human behavioral responses play an important role in the impact of disease outbreaks and yet they are often overlooked in epidemiological models. Understanding to what extent behavioral changes determine the outcome of spreading epidemics…

Physics and Society · Physics 2020-05-27 Benjamin Steinegger , Alex Arenas , Jesús Gómez-Gardeñes , Clara Granell

The spread of an infectious disease is known to change people's behavior, which in turn affects the spread of disease. Adaptive network models that account for both epidemic and behavior change have found oscillations, but in an extremely…

Quantitative Methods · Quantitative Biology 2018-04-16 N. Sherborne , K. B. Blyuss , I. Z. Kiss

We study the effects of switching social contacts as a strategy to control epidemic outbreaks. Connections between susceptible and infective individuals can be broken by either individual, and then reconnected to a randomly chosen member of…

Populations and Evolution · Quantitative Biology 2008-06-12 Sebastian Risau-Gusman , Damian H. Zanette

Most previous studies of epidemic dynamics on complex networks suppose that the disease will eventually stabilize at either a disease-free state or an endemic one. In reality, however, some epidemics always exhibit sporadic and recurrent…

Physics and Society · Physics 2013-11-19 Xiao-Long Peng , Michael Small , Xin-Jian Xu , Xinchu Fu

We show that the simplest stochastic epidemiological models with spatial correlations exhibit two types of oscillatory behaviour in the endemic phase. In a large parameter range, the oscillations are due to resonant amplification of…

Populations and Evolution · Quantitative Biology 2009-06-02 Ganna Rozhnova , Ana Nunes

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha

When a new infectious disease (or a new strain of an existing one) emerges, as in the recent COVID-19 pandemic, different types of mobility restrictions are considered to slow down or mitigate the spread of the disease. The measures to be…

Physics and Society · Physics 2026-04-21 Jõao Gabriel Simões Delboni , Gabriel Fabricius

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

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

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

The long-term evolution of epidemic processes depends crucially on the structure of contact networks. As empirical evidence indicates that human populations exhibit strong community organization, we investigate here how such mesoscopic…

Physics and Society · Physics 2016-11-09 T. Jesan , Chandrashekar Kuyyamudi , Sitabhra Sinha

We study contact epidemic models for the spread of infective diseases in finite populations. The size dependence enters in the infection rate. The dynamics of such models is then analyzed within the deterministic approximation, as well as…

Populations and Evolution · Quantitative Biology 2020-04-07 Ph. Blanchard , S. Nicolis

Infectious disease transmission in human populations has a complex two-way interaction with changes in host behaviour. It is increasingly recognised that incorporating adaptive behavioural change into epidemic models is important for…

Populations and Evolution · Quantitative Biology 2026-04-14 Michael J. Plank , Matt Ryan , Lloyd Chapman , Roslyn I. Hickson , Thomas House , Emma McBryde , James M. McCaw

Network--based epidemic models that account for heterogeneous contact patterns are extensively used to predict and control the diffusion of infectious diseases. We use census and survey data to reconstruct a geo--referenced and…

Social and Information Networks · Computer Science 2026-05-19 Alessandro Celestini , Francesca Colaiori , Stefano Guarino , Enrico Mastrostefano , Lena Rebecca Zastrow

The effects of demographic stochasticity in the long term behaviour of endemic infectious diseases have been considered for long as a necessary addition to an underlying deterministic theory. The latter would explain the regular behaviour…

Populations and Evolution · Quantitative Biology 2007-08-29 M. Simões , M. M. Telo da Gama , A. Nunes
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