| 具有饱和反应率和阶段时滞结构的害虫生物防治模型 |
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| 引用本文： | 王芳,程惠东,赵文才. 具有饱和反应率和阶段时滞结构的害虫生物防治模型[J]. 数学的实践与认识, 2010, 40(2) |
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| 作者姓名： | 王芳 程惠东 赵文才 |
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| 作者单位： | 山东科技大学理学院,山东青岛,266510 |
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| 基金项目： | 山东科技大学春蕾计划项目(2009BW2026) |
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| 摘 要： | 考虑了一个害虫和天敌都有阶段结构及具有饱和反应率的阶段时滞脉冲捕食者-食饵模型,利用人工周期定量地投放有病的害虫和天敌去治理害虫.借助脉冲时滞微分方程的相关理论和方法获得易感害虫根除周期解全局吸引的充分条件以及天敌与易感害虫可以共存且易感害虫的密度可以控制在经济危害水平之下的充分条件.我们的结论为现实的害虫管理提供了可靠的策略依据.
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| 关 键 词： | 饱和反应率 阶段时滞结构 生物防治 脉冲 全局吸引 |
Strategy for Biological Pest Management Model with Saturated Contact Rate and Delayed Stage Structure |
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| WANG Fang,CHENG Hui-dong,ZHAO Wen-cai. Strategy for Biological Pest Management Model with Saturated Contact Rate and Delayed Stage Structure[J]. Mathematics in Practice and Theory, 2010, 40(2) |
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| Authors: | WANG Fang CHENG Hui-dong ZHAO Wen-cai |
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| Affiliation: | WANG Fang,CHENG Hui-dong,ZHAO Wen-cai (College of Science of SDUST,Qingdao 266510,China) |
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| Abstract: | This paper deals with a biological pest management model with saturated contact rate and delayed stage structure.It obtains ft biological pest management strategy by periodically releasing the infected pest and the natural predators.The sufficient conditions for the global attraction of susceptible pest-eradication periodic solution and the pest population is below the economic threshold level and it may coexist with the predator population are obtained by usihg the theory of impulsive differential equation... |
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| Keywords: | saturated contact rate delayed stage structure biological pest management impulsive effect global attraction |
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