流行病SIR模型的进一步研究  

Further study of SIR epidemic model

作　　者：颜刚[1] 

机构地区：[1]第一军医大学生物医学工程系生物数学教研室,广东广州510515

出　　处：《第一军医大学学报》2001年第2期141-142,共2页Journal of First Military Medical University

摘　　要：通过对流行病ＳＩＲ模型的进一步研究，得出了ＳＩＲ模型的几个重要指标。Ｖｇａｔｅ是决定流行病是否发生的阈值；Ｉｍａｘ 是当流行病发生后被感染者的最大数目；Ｒｔｏｔａｌ是被感染者得到免疫后恢复为正常人的全部人数。另外，得到了一个全局 稳定的平衡点。In this study, the author explored the empidemiological SIR model. Three indices for the SIR model, Vgate, Imax and Rtotab and a global stable equilibrium point were obtained. Vgate is the threshold which determines the occurrence of the epidemic, Imax the maximum value of the number of infected individuals at the outbreak of an epidemic, and Rtotal the total number of those who acquired immunity from the epidemic.

关 键 词：流行病 阈值 易感人群 被感染者 平衡点 雅可比矩阵 SIR模型 

分 类 号：R181.2[医药卫生—流行病学]