Modelling epidemics on networks
نویسندگان
چکیده
منابع مشابه
Modelling Epidemics on Networks
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 simplest Erdös-Rényi random graphs, and building up structure in the form of correlations, heterogeneity and preference, paying particular attention to the links be...
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Populations are seldom completely isolated from their environment. Individuals in a particular geographic or social region may be considered a distinct network due to strong local ties but will also interact with individuals in other networks. We study the susceptible-infected-recovered process on interconnected network systems and find two distinct regimes. In strongly coupled network systems,...
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We discuss the dynamics of a minimal model for spreading of infectious diseases, such as various types of influenza. The spreading takes place on a dynamic small-world network and can be viewed as comprising short- and long-range spreading processes. We derive approximate equations for the epidemic threshold as well as the spreading dynamics, and show that there is a good agreement with numeric...
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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 network at the same time, where infection with either disease gives an individual subsequent immunity to both. Using a combination of analytic and numerical me...
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This paper reviews the use of graphs as mathematical descriptions of social networks, and discusses in particular some properties of the commonly used random (Erdős-Rényi), small-world (Watts-Strogatz) and scale-free (power-law) models, with particular focus on the small-world model. The applications of such networks to epidemiology are then briefly outlined with some comments pertaining to the...
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ژورنال
عنوان ژورنال: Contemporary Physics
سال: 2012
ISSN: 0010-7514,1366-5812
DOI: 10.1080/00107514.2011.644443