| 具有年龄结构的脉冲时滞捕食-被捕食模型的全局吸引和持久性 |
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| 引用本文： | 李庆,李有文.具有年龄结构的脉冲时滞捕食-被捕食模型的全局吸引和持久性[J].吉林林学院学报,2010(2):116-121. |
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| 作者姓名： | 李庆 李有文 |
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| 作者单位： | 中北大学数学系,山西太原030051 |
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| 基金项目： | 高校博士学科专项科研基金（20060110005）;山西省高校科技研究开发项目（200811020）究. |
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| 摘 要： | 研究了与害虫管理相关的一类捕食者具有脉冲扰动，食饵具有年龄结构的时滞捕食-被捕食模型，运用脉冲微分方程的比较定理以及时滞微分方程的基本理论，证明了害虫灭绝的周期解全局吸引、系统持久的充分性条件，同时得到了系统所有解的有界性．
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| 关 键 词： | 捕食-被捕食模型 年龄结构 时滞 持久性 |
Global Attractivity and Permanence of a Impulse Delay Prey-predator Model with Stage-structure |
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| Authors: | LI Qing LI You-wen |
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| Institution: | ( Department of Mathematics, North University of China, Taiyuan 030051, China) |
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| Abstract: | We investigate a class pest management predator-prey model with stage-structured on prey, and impulsive perturbations on predator. By using comparative theorem of impulsive differential equation and delay differential equation basic theory, sufficient conditions which guarantee the global attraction of pest-extinction periodic solution and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. |
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| Keywords: | predator-prey model stage-structured delay permanence |
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