| 害虫生物防治的数学模型 |
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| 引用本文： | 刘琼. 害虫生物防治的数学模型[J]. 生物数学学报, 2009, 24(2): 251-259 |
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| 作者姓名： | 刘琼 |
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| 作者单位： | 饮州学院,数学与计算机科学系,广西,钦州,535000 |
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| 基金项目： | 国家自然科学基金资助项目，广西自然科学基金项目，广西高等教育"十一五"精品课程改革建设项目，钦州学院重点科研项目 |
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| 摘 要： | 文章讨论一类捕食者（天敌）具脉冲放养与食饵（害虫）具阶段结构时滞的捕食-食饵模型，得到了害虫灭绝周期解全局吸引的充分条件和害虫的密度可以控制在经济危害水平E（EIL）之下的脉冲存放周期．为现实的害虫管理提供一定的理论依据．
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| 关 键 词： | 脉冲控制 时滞 阶段结构 全局吸引 害虫管理 |
Mathematical Model for the Pest Biological Prevention |
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| LIU Qiong. Mathematical Model for the Pest Biological Prevention[J]. Journal of Biomathematics, 2009, 24(2): 251-259 |
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| Authors: | LIU Qiong |
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| Affiliation: | LIU Qiong ( Department of Mathematics and Computer Science, Qinzhou University, Qinzhou Guangxi 535000 China) |
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| Abstract: | A stage structure predator-prey model with time delay and impulsive release on natural enemy is considered. The sufficient conditions for the global attractivity of pestextinction periodic solution are obtained. Furthermore, it is obtained that the pest population can be controlled under the economic injury level E（Ell） if the impulsive period is within an appropriate range, Our results provided helpful for the practical pest management. |
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| Keywords: | Impulsive controlled Time Delay St, age-Structured Global attractivity Pest management |
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