1-134-S-LanguageDynamics

By Jennifer Crodelle

Middlebury College, Middlebury College VT USA

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Abstract

Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another. By answering a list of questions, students will explore how changing the status of a language will alter the stability of equilibrium solutions, leading to the domination of one language in the population over the other. If we consider changes in the reliance of switching on the number of people in the population, we can see a stable equilibrium solution where a nonzero fraction of the population may speak both languages.

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Researchers should cite this work as follows:

  • Jennifer Crodelle (2021), "1-134-S-LanguageDynamics," https://simiode.org/resources/8575.

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