| 一类具有Beddington—DeAngelis功能反应的离散竞争反馈控制系统的持久性与稳定性 |
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| 引用本文： | 吴亭.一类具有Beddington—DeAngelis功能反应的离散竞争反馈控制系统的持久性与稳定性[J].闽江学院学报,2010,31(2):16-20. |
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| 作者姓名： | 吴亭 |
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| 作者单位： | 闽江学院数学系,福建,福州,350108 |
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| 基金项目： | 闽江学院科技启动项目(YKQ08001) |
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| 摘 要： | 针对一类具有Beddington—DeAngelis功能反应的离散竞争系统，考虑到存在外界干扰，通过引进反馈控制，利用差分方程的比较原理，研究该系统一致持久性的充分条件；通过适当的分析技巧，构造离散的Lyaptmov函数，利用微分方程中值定理，得到了该系统的正平衡点全局渐近稳定性的充分条件．由此充分说明了该系统的持久性与稳定性不受外界扰动的影响．
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| 关 键 词： | 两种群 竞争离散系统 反馈控制 正平衡点 持久性 全局稳定 |
Permanence and global stability of a discrete competition feedback-control system with Beddington-DeAngelis functional response |
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| WU Ting.Permanence and global stability of a discrete competition feedback-control system with Beddington-DeAngelis functional response[J].Journal of Minjiang University,2010,31(2):16-20. |
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| Authors: | WU Ting |
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| Institution: | Department of Mathematics;Minjiang University;Fuzhou;Fujian 350108;China |
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| Abstract: | For a class of discrete competition system with Beddington-DeAngelis functional response,taking the existence of outside interference into account,sufficient conditions for the uniform persistence of the system is studied by introducing feedback control and using the comparison theorem of difference equations.Through appropriate analysis techniques,constructing suitable discrete Lyapunov function and using mean value theorem of differentials,sufficient conditions are obtained for global asymptotic stability... |
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| Keywords: | two-species competition discrete system feedback controls positive equilibrium permanence global stability |
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