MMEE2024

Mathematical Models in Ecology and Evolution

July 15-18, 2024
Vienna, AUSTRIA

"Evolution of Multilingual Populations, Its Stable/Unstable Equilibrium, and the Extinction/Coexistence of Languages"

Wu, Zhijun

While many languages are in danger of extinction worldwide, multilingualism is being adopted for communication among different language groups and is playing a unique role in preserving language and cultural diversities. How multilingualism is developed and maintained therefore becomes an important interdisciplinary research subject for understanding complex social changes of modern-day societies. In this paper, a mixed population of multilingual speakers and in particular bilingual speakers is considered, with multilingual defined broadly as zero, limited, or full uses of multiple languages or dialects, and an evolutionary dynamic model for its development and evolution is proposed. The model consists of two different parts, formulated as two different evolutionary games, respectively. The first part accounts for the selection of languages based on the competition for popularity and social/economic preferences. The second part relates to the circumstances when the selection of languages is altered, for better or worse, by forces other than competition such as public policies, education, or family influences. By combining competition with intervention, the paper shows how multilingualism may evolve under these two different sources of influences. It shows that by choosing appropriate interventional strategies, the stable coexistence of languages, especially in multilingual forms, is possible, and extinction can be prevented. This is in contrast with major predictions from previous studies that the coexistence of languages is unstable in general, and one language will eventually dominate while all others become extinct.

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