Thesis Abstract:

We present a study of language competition between bilinguals and unilinguals using a mathematical model, involving systems of differential equations. The first model that we explore involves a system of three equations for two unnilingual language groups and a bilingual group with logistic growth built in. We then explore a modified version of this model which exhibits constant population size. Next we extend a model that takes advantage of population proportions along with ideas of language similarity and status. Through this we present our own unique model which utilizes proportions in a constant population size model with a simple structure that permits interesting behavior including a stable spiral with all three language groups present. We will investigate how bilinguals and monolinguals can coexist as well as how they can affect one another.

Thesis Defense Presentation: