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具有季节性变参数和脉冲的捕食系统的动态行为
  • ISSN号：1001-9626
  • 期刊名称：生物数学学报
  • 时间：2013.9.15
  • 页码：499-504
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]西安工业大学理学院,陕西西安710032, [2]陕西师范大学数学与信息科学学院,陕西西安710062
  • 相关基金：国家自然科学基金（No.10726042）
  • 相关项目：综合害虫治理与Bt作物抗性管理的数学模型研究
作者： 李畅通|唐三一|
关键词： 脉冲作用, 全局稳定, 周期解, 持久性, Impulsive, Globally asymptotically stable, Periodic solution, Permanence
中文摘要：

基于综合害虫防治,对具有季节性影响的Monod-Haldane型捕食与被捕食系统进行了定性分析。通过Floqnet理论,得到了捕食与被捕食系统的害虫根除周期解的全局稳定性的临界值,最后运用脉冲微分方程的比较方法证明了该系统在一定条件下是持久生存的.

英文摘要：

According to the fact integrated pest management,the predator-prey system with the Monod-Haldane functional response and impulsive control strategies.It is proved that there exists a globally asymptotically stable pest-free periodic solution by Floquet theory and small amplitude perturbation skills.Moreover,the permanence of the system is shown by comparison theorem of impulsive differential equation.

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综合害虫治理与Bt作物抗性管理的数学模型研究
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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:
  • 获奖情况:
  • 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