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脉冲治理害虫在一个新的生态——传染病模型中的应用
  • ISSN号：1000-5277
  • 期刊名称：《福建师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]福建师范大学闽南科技学院,福建泉州362332, [2]中国科学院数学与系统科学研究院,北京100080
  • 相关基金：基金项目：国家自然科学基金资助项目（10771179）
作者： 祝光湖[1], 陈兰荪[1,2]
关键词： 阶段时滞结构, 生态流行病模型, 生物防治, 脉冲效应, 持续生存, delayed stage structure, eco-epidemiology model, biological control, impulsive effect , permanence
中文摘要：

讨论了传染病的发生率为饱和接触率和捕食者的功能反应函数为Holling-Ⅱ类的阶段时滞结构的生态-传染病（害虫-病虫-天敌）模型，利用人工脉冲，周期投放有病的害虫和天敌去治理害虫．通过Floquet乘子理论，证明了当周期投放量达到一个临界点时，害虫将灭绝；并进一步获得了系统持续生存的条件．

英文摘要：

Analyzes a stage structure delayed eco-epidemiology （pest-infected pest-natural enemy） model with saturated contact rate and Holling- Ⅱ functional response. It constructs a pest control strategy by impulsively periodically releasing the infected pests and the natural predators. By using the Floquet theory, it first proves that pest population is completely eradicated when the periodic releasing amounts is larger than some critical values. Then the conditions in which the system is permanent is given.

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期刊信息
  • 《福建师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:福建师范大学
  • 主办单位:福建师范大学
  • 主编：余望
  • 地址：福州市福建师范大学旗山校区
  • 邮编：350117
  • 邮箱：linmin@fjnu.edu.cn
  • 电话：0591-22867857
  • 国际标准刊号：ISSN：1000-5277
  • 国内统一刊号：ISSN：35-1074/N
  • 邮发代号:34-43
  • 获奖情况:
  • 福建省优秀科技期刊,全国优秀高校自然科学学报,华东地区优秀期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,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（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:7294