标题： 基于身份的语言转换建模 显示英文标题

标题： Identity-Based Language Shift Modeling

摘要： 濒危语言的保护是当今广泛讨论的问题。语言代表了重要的文化遗产，并且可以提供有价值的植物学、生物学和地理学信息。因此，有必要制定有效的措施来保护和振兴濒危语言。然而，语言转变的过程是复杂的，需要采用跨学科的方法，包括数学建模技术。本文开发了一种新的数学模型，扩展了之前关于该主题的研究工作。我们引入了民族认同这一因素，它是一个更复杂的变量网络的代理，这些变量涉及个人的自我认同和/或群体的认同。这个代理是社会构建的，而非单纯继承的，由社区确定的因素塑造，语言既索引又创造了这种认同。在我们的模型中，我们将说话者分为不同的组，取决于他们认同哪种语言。此外，每个组都包括单语者和双语者。所提出的模型自然允许我们考虑语言共存的情况，并描述更广泛的语言环境。例如，模拟结果显示，我们的模型可以导致循环的语言动态，与细胞群模型形成类比。这样，所提出的数学模型可以作为开发有效语言保护和振兴措施的有用工具。 显示英文摘要

摘要： The preservation of endangered languages is a widely discussed issue nowadays. Languages represent essential cultural heritage and can provide valuable botanical, biological, and geographical information. Therefore, it is necessary to develop efficient measures to preserve and revitalize endangered languages. However, the language shift process is complex and requires an interdisciplinary approach, including mathematical modeling techniques. This paper develops a new mathematical model that extends previous works on this topic. We introduce the factor of ethnic identity, which is a proxy for a more complex nexus of variables involved in an individual's self-identity and/or a group's identity. This proxy is socially constructed rather than solely inherited, shaped by community-determined factors, with language both indexing and creating the identity. In our model, we divide speakers into groups depending on with which language they identify themselves with. Moreover, every group includes monolinguals and bilinguals. The proposed model naturally allows us to consider cases of language coexistence and describe a broader class of linguistic situations. For example, the simulation results show that our model can result in cyclic language dynamics, drawing a parallel to cell population models. In this way, the proposed mathematical model can serve as a useful tool for developing efficient measures for language preservation and revitalization.