| 一类具有脉冲效应的害虫综合管理模型的分析 |
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| 引用本文： | 李云飞,徐瑞,毛书学. 一类具有脉冲效应的害虫综合管理模型的分析[J]. 军械工程学院学报, 2011, 0(5): 69-74,78 |
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| 作者姓名： | 李云飞 徐瑞 毛书学 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 基金项目： | 项目来源：国家自然科学基金资助项目（11071254） |
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| 摘 要： | 基于害虫综合管理（IPM）策略，研究一类具有脉冲效应和非线性发生率的害虫染病的生态一流行病模型，分别在不同的固定时刻喷洒农药、释放染病害虫及天敌。利用Floquet乘子理论、脉冲微分比较定理，证明了易感类害虫灭绝周期解的全局渐近稳定性，给出了系统持续生存的充分条件。
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| 关 键 词： | 害虫综合管理 脉冲效应 灭绝 持续生存 |
Analysis of a Class of Integrated Pest Management Model with Impulsive Effect |
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| LI Yun-fei,XU Rui,MAO Shu-xue. Analysis of a Class of Integrated Pest Management Model with Impulsive Effect[J]. Journal of Ordnance Engineering College, 2011, 0(5): 69-74,78 |
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| Authors: | LI Yun-fei XU Rui MAO Shu-xue |
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| Affiliation: | (Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | Based on integrated pest management strategy, we investigate a pest infected eco-epidemiological model with impulsive effect and nonlinear incidence rate,i, e. , periodic spraying microbial pesticide,releasing infected pests and predatory enemy at different fixed moments. By using Floquet theorem and comparison theorem,we prove that the infected pest-eradication periodic solution is globally asymptotically stable;conditions for the permanence of the system are obtained. |
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| Keywords: | integrated pest management （IPM） impulsive effect extinction permanence |
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