This article presents a new model describing a language competition situation between a local majority language and a migrant minority language. Migrants enter the society, form families, and produce offspring. Adults raise their children in either one of the two languages or both. Children then attend school, learn additional languages as adults, and produce a new cohort with its own linguistic repertoire. Families and adults are utility maximizing actors, who take into account instrumental aspects of languages, such as their communicative range, as well as identity-related aspects. A general macro-level model describes how the linguistic composition of a population facing migration changes over time. Furthermore, a specific functional form of the general model is proposed and steady states are analyzed. Finally, for illustrative purposes, the model is applied to the case of Spanish and English in the United States.

中文翻译：

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新少数民族语言竞赛模式

本文提出了一种新的模型来描述当地多数语言和移民少数民族语言之间的语言竞争情况。移民进入社会，组建家庭，生育后代。成年人用两种语言中的一种或两种语言抚养孩子。然后孩子们上学，成年后学习其他语言，并产生一个拥有自己语言曲目的新群体。家庭和成年人是效用最大化的参与者，他们考虑语言的工具方面，例如他们的交际范围，以及与身份相关的方面。一般的宏观模型描述了面临迁移的人口的语言构成如何随时间变化。此外，提出了通用模型的特定函数形式并分析了稳态。最后，为了说明的目的，