恢复率正比于总人数的多传染阶段的艾滋病模型及其性态

Aids Model and its Property of Multi-Infection Phase with Recovery Ratio Which is in Direct Proportion to Total Number of People

文 [1 ]、[2 ]和 [3]主要是建立多传染阶段的艾滋病模型 ,并根据各自建立的模型 ,来讨论疾病传染的消除平衡态与流行平衡态以及它们的稳定性 .本文首先对文 [3]中的模型作适当的改进 ,再根据改进的数学模型来分析疾病传染的动态性质 ,着重讨论多传染阶段情况下艾滋病传染的持久性及其对总人数的影响 .

Models of multi-infection phase are mainly constructed in theses \, \ and \. Balanced states of vanish and epidemic of disease infection and their stability are discussed according to the constructed model in each thesis. This paper takes appropriate improvement in the model in thesis \ at first, then analyses the dynamic property of disease infection according to inproved mathematical model, enphatically discusses the duration of AIDS infection in case of multi-infection phase and influence to total number of people.