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病毒感染的动态模型
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O241.81[理学—计算数学;理学—数学]
  • 作者机构：[1]清华大学数学科学系,北京100084, [2]北京工业大学机电学院,北京100022, [3]Dept. EEE, Osaka Sangyo University, Osaka 574-8530, Japan
  • 相关基金：国家自然科学基金（10272059,10672062）,中国博士后科学基金（20060390386）资助
作者： 杨凤红[1,2], 唐云[1], 陈洛南[3]
关键词： 病毒, 感染, 数学模型, SARS, Virus , Infection , Mathematical model , SARS
中文摘要：

以SARS病毒为例,从病毒在宿主细胞内的复制和在细胞间的传播两个方面建立了数学模型,对模型平衡点的稳定性和分岔类型做出了初步分析,同时讨论了不同个体的免疫力和病毒感染能力之间的关系.由此可定性地认识病毒在宿主体内的动态特征,以了解病毒的致病机理.本文还对模型提出进一步研究的方向.

英文摘要：

Instanced by the SARS virus two mathematical models for intracelluar replication and extracelluar infection of viruses in host are proposed in this paper. The stability and bifurcation for equilibria are analyzed. In addition, the interaction of immunity to infectivity of viruses for various hosts is discussed. It enables us to qualitatively understand the dynamics and mechanism of viruses in host. Further research approach for the models is given.

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期刊信息
  • 《生物数学学报》
  • 北大核心期刊（2008版）
  • 主管单位:中国数学会
  • 主办单位:中国数学会生物数学学会
  • 主编：陈兰荪
  • 地址：辽宁省鞍山师范学院158号
  • 邮编：114007
  • 邮箱：smbjbm@tom.com
  • 电话：0412-2960893
  • 国际标准刊号：ISSN：1001-9626
  • 国内统一刊号：ISSN：34-1071/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 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,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:5686