| 具有反馈控制的两种群竞争系统的渐近性 |
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| 引用本文： | 陈斯养,黄建科.具有反馈控制的两种群竞争系统的渐近性[J].陕西师范大学学报,2007,35(1):21-24. |
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| 作者姓名： | 陈斯养 黄建科 |
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| 作者单位： | 陕西师范大学数学与信息科学学院，陕西师范大学数学与信息科学学院 陕西西安710062，陕西西安710062，西安陆军学院军事运筹教研室，陕西西安710108 |
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| 基金项目： | 国家自然科学基金;陕西师范大学校科研和教改项目 |
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| 摘 要： | 研究了一类具有反馈控制和Ⅱ类功能性反应的两种群非自治竞争系统.利用比较原理给出了系统一致持久性的充分条件;当系统是周期系统时,应用Brouwer不动点原理和构造Liapunov函数的方法给出其存在惟一且全局吸引的ω-周期正解的充分条件,并通过实例验证了文中定理条件的可实现性.
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| 关 键 词： | 反馈控制 功能反应 竞争系统 一致持久性 周期解 |
| 文章编号： | 1672-4291（2007）01-0021-04 |
| 修稿时间： | 2006-06-15 |
Asymptotic behavior of a two-species competitive system with feedback controls |
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| CHEN Si-yang,HUANG Jian-ke.Asymptotic behavior of a two-species competitive system with feedback controls[J].Journal of Shaanxi Normal University: Nat Sci Ed,2007,35(1):21-24. |
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| Authors: | CHEN Si-yang HUANG Jian-ke |
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| Abstract: | A two-species nonautonomous competitive system with feedback controls and functional response is considered,sufficient conditions are derived for uniform persistence of this system by using the comparison theorem.Furthermore,when the system is a periodic system,sufficient conditions are obtained that guarantee the existence,uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Liapunov function.Finally,a suitable example is give to illustrate the feasibility of our main results. |
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| Keywords: | feedback control functional response competitive system uniform persistence periodic solution |
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