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维护危语言的措施:一种双语竞争模式,具有滑动模式控制
1Faculty of Science, Kunming University of Science and Technology, Kunming, China.
PloS one
|June 29, 2023
概括
数学模型可以帮助保护危语言. 本研究介绍了一种具有滑动控制的双语竞争模型,证明它可以增加成功语言共存的可能性并防止大规模灭绝.
科学领域:
- 语言学的语言学.
- 数学生物学 数学生物学
- 社会学 社会学 社会学
背景情况:
- 由于竞争和进化,成千上万的语言面临灭绝.
- 语言与文化密切相关,因此语言丧失是一种文化损失.
- 数学建模对于理解和保护语言多样性至关重要.
研究的目的:
- 开发和分析双语语言竞争的数学模型.
- 调查防止大规模语言灭绝和促进共存的方法.
- 提出和评估一种新的滑动控制策略,以维护语言.
主要方法:
- 普通微分方程的定性理论,以分析双语竞争模型.
- 微不足道和非微不足道的解决方案的导出和稳定性分析,没有滑动控制.
- 开发和应用一个滑动控制政策,以一种新的双语竞争模式.
主要成果:
- 对于基本双语竞争模型的解决方案,确定了正的不变性.
- 使用拟议的滑动控制政策确定了一个伪平衡点.
- 数字模拟证实了滑动模式控制策略的有效性.
结论:
- 拟议的滑动控制模型增强了成功语言共存的潜力.
- 调整语言状态和交互值可以改善保存结果.
- 这项研究为旨在防止语言灭绝的政策提供了理论基础.
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