报告题目：State impulsive control strategies for a two-languages competitive model with bilingualism and inter linguistic similarity

报告时间：2015年11月15日上午9：00

报告地点：数学馆 310

报告人： 新疆大学 滕志东教授

报告摘要

For reasons of preserving endangered languages, we propose, in this paper, a novel two-languages competitive model with bilingualism and inter linguistic similarity, where state-dependent impulsive control strategies are introduced. The novel control model includes two control threshold values, which are different from the previous state-dependent impulsive differential equations. By using qualitative analysis method, we obtain that the control model exhibits two stable positive order-1 periodic solutions under some general conditions. Moreover, numerical simulations clearly illustrate the main theoretical results and feasibility of state-dependent impulsive control strategies. Meanwhile numerical simulations also show that state-dependent impulsive control strategy can be applied to other general two-languages competitive model and obtain the desired result. The results indicate that the fractions of two competitive languages can be kept within a reasonable level under almost any circumstances. Theoretical basis for finding a new control measure to protect the endangered language is offered.

专家简介：

新疆大学数学与系统科学学院院长、教授、博士生导师。1995年毕业于哈萨克斯坦国立大学应用数学与力学系，获副博士学位。主持国家自然科学基金项目3项，发表学术论文180多篇，荣获新疆自治区科技进步第一、二等奖、自治区优秀专家，培养博士研究生15名。硕士研究生50多名。