| 一类基于综合害虫管理策略的捕食系统的动力学性质 |
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| 引用本文： | 王玲书,冯光辉. 一类基于综合害虫管理策略的捕食系统的动力学性质[J]. 北华大学学报(自然科学版), 2010, 11(1): 7-12. DOI: 10.3969/j.issn.1009-4822.2010.01.002 |
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| 作者姓名： | 王玲书 冯光辉 |
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| 作者单位： | 河北经贸大学,数学与统计学学院,河北,石家庄,050061;军械工程学院,基础部,河北,石家庄,050003;军械工程学院,基础部,河北,石家庄,050003 |
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| 基金项目： | 河北省教育厅科学研究计划项目 |
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| 摘 要： | 基于综合害虫管理策略,提出了一类食饵具有阶段结构和时滞的捕食模型,并对其动力学性质进行了分析.证明了系统所有的正解是一致完全有界的,得到了害虫灭绝周期解的全局吸引和系统持续生存的充分条件.
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| 关 键 词： | 阶段结构 时滞 脉冲 持续生存 害虫灭绝 |
Dynamics of a Predator-Prey System Concerning Integrated Pest Management Strategy |
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| WANG Ling-shu,FENG Guang-hui. Dynamics of a Predator-Prey System Concerning Integrated Pest Management Strategy[J]. Journal of Beihua University(Natural Science), 2010, 11(1): 7-12. DOI: 10.3969/j.issn.1009-4822.2010.01.002 |
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| Authors: | WANG Ling-shu FENG Guang-hui |
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| Affiliation: | WANG Ling-shu1,2,FENG Guang-hui2(1.School of Mathematics , Statistics,Hebei University of Economics & Business,Shijiazhuang 050061,China,2.Department of Basic Course,Mechanical Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | Based on integrated pest management strategy,a stage-structured and delayed predator-prey system with impulsive effect is proposed and analyzed.The positive solutions are ultimately bounded.Sufficient conditions are derived for the global attractivity of the pest-eradication periodic solution and the permanence of the system. |
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| Keywords: | stage-structure delay impulses permanence pest extinction |
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