吉林大学学报（理学版）Issue(2)：237-243,7.DOI:10.13413/j.cnki.jdxblxb.2014.02.14
传染病模型中新增病例的几乎必然收敛性
Almost Surely Convergence for New Infective in Epidemic Model
摘要
Abstract
We used the theory of dynamic random graph as the tool to investigate the convergence of a stochastic discrete-time epidemic model in a large population by means of the method of branching process approximation.The significance of the paper lies in the improved SIR model.Each individual has a certain number of acquaintances with a fixed distribution.As the number of initially infective individuals stays small,a branching process approximation for the number of infective individuals is in force.Using the results of the branching process,we will have the main results,that is,the number of new infective individuals will present some almost surely limit properties with the size of the population extending.关键词
随机图/传染病模型/分支过程/几乎必然收敛性Key words
random graph/epidemic model/branching process/almost surely convergence分类
数理科学引用本文复制引用
吕丁丁,董志山..传染病模型中新增病例的几乎必然收敛性[J].吉林大学学报（理学版）,2014,(2):237-243,7.基金项目
国家自然科学基金(批准号:11001104) （批准号:11001104）
