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具有阈值策略的非光滑阶段结构害虫增长模型的分析
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：Q145[生物学—生态学;生物学—普通生物学]
  • 作者机构：[1]陕西师范大学数学与信息科学学院,陕西西安710062, [2]鞍山师范学院数学与信息科学学院,辽宁鞍山114007
  • 相关基金：This Work was Partially Supported by the National Natural Science Foundation of China （11171199）, and by the Fundamental Research ghnds for the Central Uni- versities（GK201003001）
作者： 邢倩[1], 刘兵[2], 唐三一[1]
关键词： 经济临界值, Filippov系统, 滑动动力学, 化学控制, Economic threshold, Filippov system, Sliding mode, Regular andvirtual equilibria, Pseudo-equilibrium
中文摘要：

为了控制害虫数量不超过一个确定的水平，引入具有阀值控制策略的非光滑的阶段结构的害虫增长模型，称之为Filippov系统．本文主要介绍和讨论了以成年种群数量作为指标的阈值控制策略．在此种情况下，分析了Filippov系统的滑动区域，滑线动力学以及真，假平衡态和伪平衡态的存在性．文章通过理论和数值方法讨论和证明了上述平衡态的稳定性．引入了具有生物应用意义的害虫控制，而得到的结论证明成年种群的数量通过闽值策略控制能够成功的稳定在经济阈值之下．

英文摘要：

In order to control the pest population such that its density does not ex- ceed a certain level, we have developed the non-smooth two-stage structured pest growth model using threshold policy control strategy, which can be described by Filippov system. The threshold policy control with the density of the adults as the index is introduced and discussed in this work. For this case, the sliding mode domain, sliding mode dynamics and existence of equilibria including regular, virtual and pseudo~equilibria have been addressed. Further, the stability of those equilibria are investigated by employing the- oretical and numerical methods. The biological implications related to pest control are also discussed, and our results indicates that the number of adults can be successfully maintained below the economic threshold level by designing suitable threshold policy strategy.

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期刊信息
  • 《生物数学学报》
  • 北大核心期刊（2008版）
  • 主管单位:中国数学会
  • 主办单位:中国数学会生物数学学会
  • 主编：陈兰荪
  • 地址：辽宁省鞍山师范学院158号
  • 邮编：114007
  • 邮箱：smbjbm@tom.com
  • 电话：0412-2960893
  • 国际标准刊号：ISSN：1001-9626
  • 国内统一刊号：ISSN：34-1071/O1
  • 邮发代号:
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  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:5686