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Exploring generic scale-free networks
02 Jun 2015 | | Contributor(s):: Winfried Just, Hannah Lea Callender, Drew LaMar
This module is a companion module to Module [[Resource(384)]]. Here we study in more detail networks that are generic for a given network size and a given exponent of a power-law degree distribution. We explore predicted structural properties of such networks both mathematically and with...
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Clustering coefficients
02 Jun 2015 | | Contributor(s):: Winfried Just, Hannah Lea Callender, Drew LaMar
In this module we introduce several definitions of so-called clustering coefficients. A motivating example shows how these characteristics of the contact network may influence the spread of an infectious disease. In later sections we explore, both with the help of IONTW and theoretically,...
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Small-world models
02 Jun 2015 | | Contributor(s):: Winfried Just, Hannah Lea Callender
Small-world networks are classes of networks that have both the small-world property and exhibit strong clustering. Two constructions of such networks are implemented in IONTW. Here we study, both theoretically and with simulation experiments, the structure of these networks and how it influences...
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The preferential attachment model
10 May 2015 | | Contributor(s):: Winfried Just, Hannah Lea Callender, Drew LaMar, Ying Xin
Many empirically studied networks have approximately so-called power-law or scale-free degree distributions. In Section 1 we formally define such distributions and explore some of their properties. We also introduce and briefly compare two methods for constructing random...
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Exploring distances with IONTW
10 May 2015 | | Contributor(s):: Winfried Just, Hannah Lea Callender, Drew LaMar
Section 1 is purely conceptual and invites readers to critically evaluate popular claims based on Stanley Milgram's famous experiment that gave birth to the phrases small-world property and six degrees of separation. In Section 2 we use IONTW to explore distances between nodes in several...
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The friendship paradox
10 May 2015 | | Contributor(s):: Winfried Just, Hannah Lea Callender, Drew LaMar
In this module we introduce the so-called friendship paradox and illustrate how it affects disease transmission on networks that exhibit this phenomenon.You also need to download the input file degreesFP.txt that will be used in this module.Level: Advanced undergraduate and graduate...
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Exploring Disease Transmission on Networks with NetLogo
10 May 2015 | | Contributor(s):: Winfried Just, Ying Xin
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Modeling Infectious Disease through Contact Networks
25 Mar 2015 | | Contributor(s):: Todd Graham, Claire Seibold, Rebecca Driessen, Hannah Lea Callender
This poster was presented at the University of Portland's Summer Research Symposium on November 9, 2014, in Portland, Oregon. The poster is aimed at readers with little or no background in modeling infectious diseases. The contents provide a brief overview of modeling infectious diseases on...
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IONTW
28 Jan 2015 | | Contributor(s):: Drew LaMar
Simulates both discrete and continuous time agent-based models of infectious disease dynamics on networks.