| 基于害虫防治的带有年龄结构和时滞的捕食-被捕食模型分析 |
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| 引用本文： | 李有文,李庆,赵婷.基于害虫防治的带有年龄结构和时滞的捕食-被捕食模型分析[J].数学的实践与认识,2009,39(18). |
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| 作者姓名： | 李有文 李庆 赵婷 |
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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，山西省高校科技研究开发项目 |
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| 摘 要： | 研究了一个关于害虫防治的有脉冲效应以及年龄结构和时滞的捕食-被捕食模型,得到了害虫根除的周期解全局吸引以及系统持久的充分条件,同时证明了系统所有的解是一致最终有界的.这些结果能为害虫防治的实际操作提供一定的理论依据.
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| 关 键 词： | 捕食-被捕食模型 年龄结构 时滞 持久性 |
Staged-structured and Delayed Loltka-Volerra Predator-prey Model for Pest Management |
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| LI You-wen,LI Qing,ZHAO Ting.Staged-structured and Delayed Loltka-Volerra Predator-prey Model for Pest Management[J].Mathematics in Practice and Theory,2009,39(18). |
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| Authors: | LI You-wen LI Qing ZHAO Ting |
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| Abstract: | We investigate a delayed stage-structured predator-prey model with mutual interference and impulsive perturbations on predator. Sufficient conditions of the global attractivity of prey-extinction periodic solution and the permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for the practical pest management. |
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| Keywords: | predator-prey model stage-structured delay permanence |
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