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Using Mathematical Biology to Model a Revolution

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abstract
In this thesis, we seek to model the dynamics of violent political revolutions using adaptations of mathematical biology models. Existing models of similar social phe- nomena either lack recruitment terms from one population to another, or assume the entire population is a constant size, which is not realistic in this scenario. Therefore, we have created our own models. One of these models treats political ideologies as a social disease, and thus has been adapted from an SIR epidemiology model. The other two treat political factions as populations preying on a susceptible civilian pop- ulation, and as such are adapted from predator-prey and competing species models. We begin by analyzing the mathematical properties of each model before extending them to real-world scenarios and outcomes.
subject
Differential Equations
Math Biology
Modeling
Revolution
contributor
Newman, Maisie Jann (author)
Robinson, Stephen (committee chair)
Gemmer, John (committee member)
Mason, Sarah (committee member)
date
2018-05-24T08:36:02Z (accessioned)
2018-05-24T08:36:02Z (available)
2018 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/90705 (uri)
language
en (iso)
publisher
Wake Forest University
title
Using Mathematical Biology to Model a Revolution
type
Thesis

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