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A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY AND IMPULSIVE CONTROLLING
  • ISSN号：1009-6124
  • 期刊名称：《系统科学与复杂性学报：英文版》
  • 时间：0
  • 分类：TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]College of Science, Shandong University of Science and Technology, Qingdao 266510, China, [2]Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
  • 相关基金：This research is supported by the National Natural Science Foundation of China under Grant No. 10471117, 10771179, and the Natural Science and Development Foundation of Shandong University of Science and Tech- nology under Grant No. 05g016.
作者： Xinzhu MENG[1], Lansun CHEN[2]
关键词： 时间延迟, 瞬间控制, 有害物质管理, 分级传染病模型, 生态-流行病学模型, Impulsive effects, maturation time delay, permanence, pest management, stage-structured SI infectious disease model
中文摘要：

这篇论文提出柔韧的组织阶段的 SI 有周期的经常的脉搏与病原体释放传染害虫的 eco 流行病学的模型。作者证明因此，为系统的周期的答案和永久性取决于的‘ p est-eradication' 的全球 attractivity 的条件预定延期作者叫它“无益”。进一步，在场的作者害虫人口在经济阀值水平(ETL ) 下面被放在的害虫管理策略当害虫人口是一致地坚持的时。由数字分析，作者也为传染害虫释放的易受影响的害虫和脉搏显示出那经常的成熟时间延期能在系统的动力学上带明显的效果。

英文摘要：

This paper formulates a robust stage-structured SI eco-epidemiological model with periodic constant pulse releasing of infectious pests with pathogens. The authors show that the conditions for global attractivity of the ＇pest-eradication＇ periodic solution and permanence of the system depend on time delay, hence, the authors call it ＂profitless＂. Further, the authors present a pest management strategy in which the pest population is kept under the economic threshold level （ETL） when the pest population is uniformly persistent. By numerical analysis, the authors also show that constant maturation time delay for the susceptible pests and pulse releasing of the infectious pests can bring obvious effects on the dynamics of system.

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脉冲生物动力系统的稳定性和周期解
期刊论文 41 著作 1
状态脉冲及脉冲微分方程边值问题研究与应用
期刊论文 109 会议论文 3
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期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125