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Since its first formulations almost a century ago, mathematical models for disease spreading contributed to understand, evaluate and control the epidemic processes.They promoted a dramatic change in how epidemiologists thought of the…

适应与自组织系统 · 物理学 2013-12-16 Marcelo N. Kuperman

Infectious disease remains, despite centuries of work to control and mitigate its effects, a major problem facing humanity. This paper reviews the mathematical modelling of infectious disease epidemics on networks, starting from the…

科普物理 · 物理学 2015-06-03 Thomas House

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

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…

物理与社会 · 物理学 2007-05-23 Tao Zhou , Zhong-Qian Fu , Bing-Hong Wang

The epidemiology has recently witnessed great advances based on computational models. Its scope and impact are getting wider thanks to the new data sources feeding analytical frameworks and models. Besides traditional variables considered…

计算机与社会 · 计算机科学 2023-11-13 David Pastor-Escuredo

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

种群与进化 · 定量生物学 2010-11-25 Christel Kamp

Despite centuries of work on containment and mitigation strategies, infectious diseases are still a major problem facing humanity. This work is concerned with simulating heterogeneous contact structures and understanding how the structure…

社会与信息网络 · 计算机科学 2024-02-07 Jan Kreischer , Adrian Iten , Astrid Jehoul

The propagations of diseases, behaviors and information in real systems are rarely independent of each other, but they are coevolving with strong interactions. To uncover the dynamical mechanisms, the evolving spatiotemporal patterns and…

物理与社会 · 物理学 2019-10-02 Wei Wang , Quan-Hui Liu , Junhao Liang , Yanqing Hu , Tao Zhou

Mathematical models of infectious diseases, which are in principle analytically tractable, use two general approaches. The first approach, generally known as compartmental modeling, addresses the time evolution of disease propagation at the…

种群与进化 · 定量生物学 2010-09-16 Pierre-André Noël , Bahman Davoudi , Robert C. Brunham , Louis J. Dubé , Babak Pourbohloul

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…

种群与进化 · 定量生物学 2010-04-09 Sebastian Risau-Gusman

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

种群与进化 · 定量生物学 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

种群与进化 · 定量生物学 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

Discrete and Continuous Dynamics is the first in a series of articles on Network Models for Epidemiology. This project began in the Fall quarter of 2014 in my continuous modeling course. Since then, it has taken off and turned into a series…

种群与进化 · 定量生物学 2015-11-04 Edward Rusu

We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the epidemic prevalence is virtually instantaneous in all…

无序系统与神经网络 · 物理学 2007-05-23 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

物理与社会 · 物理学 2015-03-19 Brian Karrer , M. E. J. Newman

Traditional mathematical models of epidemic disease had for decades conventionally considered static structure for contacts. Recently, an upsurge of theoretical inquiry has strived towards rendering the models more realistic by…

物理与社会 · 物理学 2016-01-20 Babak Fotouhi , Mehrdad Khani Shirkoohi

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

物理与社会 · 物理学 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

Most infectious diseases spread on a dynamic network of human interactions. Recent studies of social dynamics have provided evidence that spreading patterns may depend strongly on detailed micro-dynamics of the social system. We have…

物理与社会 · 物理学 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann

Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world…

物理与社会 · 物理学 2017-02-09 Wei Wang , Ming Tang , H. Eugene Stanley , Lidia A. Braunstein

Background: Recently developed techniques to study the spread of infectious diseases through networks make assumptions that the initial proportion infected is infinitesimal and the population behavior is static throughout the epidemic. The…

种群与进化 · 定量生物学 2012-08-17 Joel C. Miller
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