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一个具有随机传染率艾滋病模型的渐近行为
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O211.63[理学—概率论与数理统计;理学—数学] O29[理学—应用数学;理学—数学]
  • 作者机构：[1]哈尔滨工业大学威海数学系,山东威海264209, [2]东北师范大学数理统计学院,吉林长春130024
  • 相关基金：SupportedbyNNSFofPRChina（No.10701020）;NationalNaturalScienceFoun-dationofP.R.China（No.11171081）,（No.11171056）,（No.11126219）,（No.11001032）（No.11101183）andShandongProvincialNaturalScienceFoundationofChina（GrantNo.ZR2011AM004）.
作者： 邹晓玲[1], 李文学[1], 王克[1,2], 杨宏伟[1]
关键词： 随机, LOGISTIC方程, 艾滋病, Stochastic , Logistic equation , AIDS
中文摘要：

研究了艾滋病传播的随机模型．我们出了一个条件，在这个条件下，无论环境干扰有多强，随机Logistic方程的平凡解是渐近稳定的．我们的结论与Roberts和Saha的结论构成对艾滋病传播模型的一个完整的分析．

英文摘要：

A stochastic model for AIDS is considered in this paper. We give a condition under which the solution of the corresponding stochastic logistic equation will tend to the trivial solution asymptotically with probability 1 no matter how strongly the environmental disturbance is. Our conclusion together with Roberts and Saha＇s make up of a full analysis of the stochastic model for AIDS transmission.

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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
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  • 被引量:5686