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oai:null:10339/907052026-09-18T13:13:53Zcom_10339_14934col_10339_38132

Newman, Maisie Jann 2018-05-24T08:36:02Z 2018-05-24T08:36:02Z 2018 https://wakespace.lib.wfu.edu/handle/10339/90705 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. en Wake Forest University Differential Equations Math Biology Modeling Revolution Using Mathematical Biology to Model a Revolution Thesis Robinson, Stephen Gemmer, John Mason, Sarah Mathematics and Statistics open.access