| 一类带Monod增长率及脉冲状态反馈控制的微生物杀虫剂模型的周期解 |
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| 引用本文： | 王铁英,陈长海,陈兰荪. 一类带Monod增长率及脉冲状态反馈控制的微生物杀虫剂模型的周期解[J]. 生物数学学报, 2013, 0(4): 577-585 |
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| 作者姓名： | 王铁英 陈长海 陈兰荪 |
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| 作者单位： | [1]中国人民公安大学网络安全保卫学院,北京100038 [2]中国科学院数学与系统科学研究院,北京100080 |
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| 摘 要： | 研究了一类带Monod增长率及脉冲状态反馈控制的微生物杀虫剂模型．证明了无脉冲系统的负向全局渐近稳定性及带有脉冲状态反馈控制系统具有阶一周期解，并且给出阶一周期解存在和稳定的充分条件．数值模拟验证了理论结果．
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| 关 键 词： | 周期解 全局渐近稳定性 反馈控制 Monod增长率 脉冲效应 |
Periodic Solution of a Microbial Pesticide Model with the Monod Growth Rate and Impulsive State Feedback Control |
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| WANG Tie-ying,CHEN Chang-hai,CHEN Lan-sun. Periodic Solution of a Microbial Pesticide Model with the Monod Growth Rate and Impulsive State Feedback Control[J]. Journal of Biomathematics, 2013, 0(4): 577-585 |
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| Authors: | WANG Tie-ying CHEN Chang-hai CHEN Lan-sun |
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| Affiliation: | 2 (1 School of Cyber Security, Peoplels Public Security University of China, Beijing 100038 China) (2 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 China) |
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| Abstract: | In this paper, a microbial pesticide model with the Monod growth rate and impulsive state feedback control is investigated. We prove that the system without impulsive state feedback control is global asymptotic stability of negative direction. And then, we obtain that the system with impulsive state feedback control has periodic so- lution of order one. Sufficient conditions for existence and stability of periodic solution of order one are given. The numerical simulation is presented to verify the theoretical results. |
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| Keywords: | Periodic solution Global asymptotic stability Feedback control Monod growth rate Impulsive effect |
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