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具有生物控制和化学控制的SEI害虫管理模型
  • ISSN号：1003-0972
  • 期刊名称：《信阳师范学院学报：自然科学版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]湖北民族学院数学系,湖北恩施445000, [2]神农溪高中,湖北巴东444309
  • 相关基金：国家自然科学基金项目（10771179）;湖北省自然科学基金项目（2008CDB075）;湖北省优秀中青年项目（Q20082006）;湖北省高等学校科研团队项目（T200804）
作者： 向中义[1], 秦莎莎[1,2]
关键词： SEI害虫管理模型, 脉冲效应, 绝灭, 持续生存, SEI pest management model, impulsive effect, extinction, permanence
中文摘要：

考虑一个在固定时刻分别投放染病者害虫和喷洒杀虫剂的SEI害虫管理模型．通过频闪映射，得到了易感者和潜伏者根除的害虫根除周期解，并且证明当投放的染病者害虫的数量大于某个临界值时，害虫根除周期解是全局吸引的；当投放的染病者的数量小于该临界值时，系统是持续生存的．

英文摘要：

An SEI model for pest management with releasing infective pests and spraying pesticides at different fixed moments is considered. Using the stroboscopic map, the exact periodic susceptible and exposed pest-eradication solution of the system is obtained. The pest-eradication periodic solution is globally attractive ff that the amount of infective pests released periodically is larger than some critical value. When the amount of infective pests released is less than this critical value,the system is shown to be permanent.

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期刊信息
  • 《信阳师范学院学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:信阳师范学院
  • 主办单位:信阳师范学院
  • 主编：刘彦明
  • 地址：河南省信阳市南湖路
  • 邮编：464000
  • 邮箱：xblk@xynu.edu.cn
  • 电话：0376-6393516
  • 国际标准刊号：ISSN：1003-0972
  • 国内统一刊号：ISSN：41-1107/N
  • 邮发代号:36-122
  • 获奖情况:
  • 河南省优秀科技期刊,河南省优秀学报
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国农业与生物科学研究中心文摘,波兰哥白尼索引,德国数学文摘,美国剑桥科学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:5214