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一类离散SIS传染病模型的稳定性
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O175.7[理学—数学;理学—基础数学]
  • 作者机构：[1]广州大学数学与信息科学学院,广东广州510006
  • 相关基金：基金项目：国家自然科学基金重点项目（11031002）资助
作者： 郭志明[1], 彭华勤[1]
关键词： 离散传染病模型, 基本再生数, 稳定性, discrete epidemic model, basic reproduction number, stability
中文摘要：

建立了一类新的离散SIS传染病模型，该模型中人口总数依赖于出生函数而随时间变化．针对不同的出生函数，得到了该模型的基本再生数R，证明了当R≤1时疾病最终消失，无疾病平衡点是全局稳定的．当R0〉1时疾病能够继续存在，成为一种地方性疾病，并且该平衡点是稳定的．

英文摘要：

In this paper, a new discrete SIS model is established. In this model, whole population varies with time according to birth functions. For different birth functions, basic reproduction numbers are found. It is proved that when the basic reproduction number R ≤ 1, the epidemic disease dies out eventually and disease-free equilibrium is globally asymptotically stable ; while R 〉 1 implies that the epidemic disease cannot to be eliminated, it will become endemic disease. Furthermore, the endemic equilibrium is stable.

同期刊论文项目
时滞微分方程与离散系统的定性理论及其相关问题
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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:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,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:4204