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具有脉冲出生的SIS传染病模型的生存性
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]东北林业大学数学系,哈尔滨150040, [2]东北林业大学教育部森林植物生态学重点实验室,哈尔滨150040
  • 相关基金：国家自然科学基金资助项目（10671047）
作者： 马淑芳[1,2], 仇晓芬[1], 钟秋慧[1]
关键词： SIS传染病模型, 周期解, 脉冲出生, 一致持续生存性, SIS epidemic model, pulse impulsive, persistence
中文摘要：

在假设研究地区的人口数量不随时间变化的情况下,讨论了具有脉冲出生的SIS传染病模型的动力学性质。给出了系统的无病周期解并且得出了无病周期解是渐进稳定的结论。通过脉冲方程的比较定理,分步骤讨论,在一定的假设条件下,给出了系统是永存的结论。

英文摘要：

Assuming that the size of population considered area don′t change about time,dynamic of SIS epidemic model with birth pulse is investigated.Free-disease periodic solution is obtained and is proved to be asymptotical.Finally,comparison theorem on pulse differential equations,it is concluded that the system is persistent under some assumption.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
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  • 被引量:4204