Item Details

title

Using Mathematical Biology to Model a Revolution

author

Newman, Maisie Jann

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

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

type

Thesis