The Influence of Social Network Graph Structure on Disease Dynamics in a Simulated Environment Page: iv
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LIST OF TABLES vii
LIST OF FIGURES viii
CHAPTER 1. INTRODUCTION 1
1.1. Disease Definitions and Concepts 3
1.2. Disease Simulation 4
1.3. Disease Dynamics 6
1.4. Social Networks and Graph Theory 6
1.5. Problem Statement 7
1.6. Overview 8
CHAPTER 2. BACKGROUND 9
2.1. Epidemiology 9
2.2. Disease Models 12
2.2.1. Computation Models in Epidemiology 14
2.3. The Basic Reproduction Number 17
2.3.1. The Importance of Understanding Ro 19
2.3.2. Deriving Ro Mathematically 20
2.3.3. Experimental Expected Ro 21
2.4. Graphs 23
2.4.1. Graph Theory Concepts 24
2.4.2. Random Graphs, Ordered Lattices, Hypergraphs, and Small-World Graphs 26
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Johnson, Tina V. The Influence of Social Network Graph Structure on Disease Dynamics in a Simulated Environment, dissertation, December 2010; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc33173/m1/5/: accessed May 21, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .