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多种群周期系数非线性竞争反馈控制系统的定性分析
The Qualitative Analysis of n-Species Nonlinear Competition Systems with Feedback Control and Periodic Coefficients
【摘要】 首次提出了一类多种群周期系数非线性竞争反馈控制生态系统,应用比较定理、Brouwer不动点定理和Lyapunov函数方法,讨论了该系统正解的有界性、正周期解的存在性和全局吸引性.
【Abstract】 In this paper, a non-autonomous multispecies periodic coefficient,nonlinear relation, competitive systems with feedback control is studied. By making use of comparing theorem and Brouwer fixed point theorem we obtain the boundedness of the positive solution of the system and the existence of positive periodic solution of the system. After that, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the global asymptotic stability of the periodic solution are obtained.
【关键词】 竞争;
反馈;
周期解;
有界性;
全局吸引性;
【Key words】 competition; feedback control; periodic solution; boundedness; global attractivity;
【Key words】 competition; feedback control; periodic solution; boundedness; global attractivity;
【基金】 福建省教育厅基金资助项目(JA04156);福建省青年科技人才创新基金资助项目(2004J002);福州大学科技发展基金资助项目(2003XQ21)
- 【文献出处】 宁夏大学学报(自然科学版) ,Journal of Ningxia University(Natural Science Edition) , 编辑部邮箱 ,2005年02期
- 【分类号】O231.2
- 【被引频次】1
- 【下载频次】52