| 捕食者具脉冲扰动与食饵具有化学控制的阶段结构时滞捕食-食饵模型 |
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| 引用本文： | 焦建军,陈兰荪. 捕食者具脉冲扰动与食饵具有化学控制的阶段结构时滞捕食-食饵模型[J]. 应用数学和力学, 2007, 28(12): 1502-1512 |
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| 作者姓名： | 焦建军 陈兰荪 |
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| 作者单位： | 贵州财经学院 数学与统计学院,贵阳 550004;2.大连理工大学 应用数学系,辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金;贵州省重点学科资助项目 |
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| 摘 要： | 讨论了与害虫治理相关的一类捕食者具脉冲扰动与食饵具有化学控制的阶段结构时滞捕食-食饵模型,得到了害虫灭绝周期解的全局吸引和系统持久的充分条件,也证明了系统的所有解的一致完全有界．得出的结论为现实的害虫治理提供了可靠的策略依据．
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| 关 键 词： | 阶段结构 时滞 脉冲 全局吸引 一致持久 害虫灭绝 |
| 文章编号： | 1000-0887（2007）12-1502-11 |
| 收稿时间： | 2007-03-15 |
| 修稿时间： | 2007-03-15 |
Delayed Stage-Structured Predator-Prey Model With Impulsive Perturbations on Predator and Chemical Control on Prey |
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| JIAO Jian-jun,CHEN Lan-sun. Delayed Stage-Structured Predator-Prey Model With Impulsive Perturbations on Predator and Chemical Control on Prey[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1502-1512 |
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| Authors: | JIAO Jian-jun CHEN Lan-sun |
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| Affiliation: | School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang 550004, P. R. China; |
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| Abstract: | A delayed stage-structured pest management predator-prey system with impulsive transmitting on predators and chemical on prey concern was considered.Sufficient conditions of the global attractivity of pest-extinction boundary periodic solution and permanence of the system were obtained.It was also proved that all solutions of the system are uniformly ultimately bounded.The results provide reliable tactical basis for the practical pest management. |
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| Keywords: | stage-structured delayed impulsive global attractivity permanence pest-extinction |
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