Using Mathematical Biology to Model a Revolution

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.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2018

Author dc:creator

• Newman, Maisie Jann

• Differential Equations

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10339/90705

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/90705