| 一类时滞脉冲捕食-食饵系统的定性分析 |
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| 引用本文： | 王海峰,唐清干. 一类时滞脉冲捕食-食饵系统的定性分析[J]. 吉林大学学报(理学版), 2010, 48(3): 389-395 |
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| 作者姓名： | 王海峰 唐清干 |
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| 作者单位： | 桂林电子科技大学 计算科学与数学学院, 广西 桂林 541004 |
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| 摘 要： | 在带有时滞阶段结构的捕食-食饵系统基础上,对食饵引入脉冲投放,改进了原来的系统,并且所得系统具有较强的生物背景.利用脉冲微分方程的比较定理及周期解存在定理,得到了系统的捕食者灭绝周期解的全局吸引和系统持续生存的充分条件,证明了系统解的一致完全有界.
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| 关 键 词： | 阶段结构 时滞 脉冲 一致持久 全局吸引 |
| 收稿时间： | 2009-06-23 |
Qualitative Analysis of a Delayed Predator-Prey System with Impulsive Perturbations |
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| WANG Hai-feng,TANG Qing-gan. Qualitative Analysis of a Delayed Predator-Prey System with Impulsive Perturbations[J]. Journal of Jilin University: Sci Ed, 2010, 48(3): 389-395 |
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| Authors: | WANG Hai-feng TANG Qing-gan |
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| Affiliation: | College of Computing Science and Mathematics, Guilin University of Electronic Technology,Guilin |541004, Guangxi Zhuang Autonomous Region, China |
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| Abstract: | On the basis of a stage structured delayed predator prey model, introducing the impulsive stocking prey, we improved the system. And the mathematical model has biological meanings. Based on the comparison theorem and periodic solution existing theorem of impulsive differential equations, sufficient conditions of the global attractivity of pest extinction boundary periodic solution and permanenc of the system were obtained. It was also proved that all the solutions of the system are uniformly ultimately bounded. |
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| Keywords: | stage structured delayed impulsive uniform persistent global attractivity |
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