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带脉冲免疫和时滞的传染病模型分析
  • 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：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000, [2]安阳市第三中学,河南安阳455000
  • 相关基金：国家自然科学基金资助项目（10771179）
作者： 杨金根[1], 许庆涛[2]
关键词： 脉冲免疫, 时滞, 全局吸引, impulsive vaccination； delay； global attractor
中文摘要：

研究一类带脉冲免疫和时滞的传染病模型.运用脉冲微分方程和积分方程的理论和方法,得到了系统的无病周期解,并证明了当阈值小于1即R＊〈1时,系统的无病周期解是全局吸引的.

英文摘要：

An epidemic model with impulsive vaccination and delay was described. The explicit formula of the disease-free periodic solution was obtained by using the theory and the method of impulsive differential equation and integral equation. The results demonstrated that the disease-free periodic solution is a global attractor if R＊〈1.

同期刊论文项目
状态脉冲及脉冲微分方程边值问题研究与应用
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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