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具无效时滞和反馈控制的非自治双种群合作共生系统的持久性分析(英文)
Permanence in a Nonautonomous Multi-Species Cooperative Symbiosis System with Harmless Time Delays and Feedback Controls
【摘要】 本文研究一类具时滞和反馈控制的非自治双种群合作共生系统,通过细致的分析,建立了一系列易于验证且保证系统持久性的充分条件,该条件显示时滞和反馈控制对系统的持久性没有影响.进一步,举例验证了结果的有效性和可行性.
【Abstract】 In this paper,a nonautonomous multi-species cooperative symbiosis system with time delays and feedback controls is considered.By the detailed analysis,a set of easily verifiable sufficient conditions on the permanence are established,which shows that feedback controls and time delays have no influence on the permanence of the system.Moreover,two numerical examples are given to illustrate our feasible results.
【关键词】 持久性;
合作共生;
时滞;
反馈控制;
【Key words】 Permanence; Cooperative symbiosis; Time delay; Feedback control;
【Key words】 Permanence; Cooperative symbiosis; Time delay; Feedback control;
【基金】 supported by the National Natural Sciences Foundation of People’s Republic of China under Grant 10961025;the project of Education Department of Yunnan Province under Grant 2013Y358
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2015年04期
- 【分类号】O175
- 【被引频次】1
- 【下载频次】76