传染病模型中的马尔萨斯常数(英文)  

Malthusian parameter for epidemic models

作　　者：蓝国烈[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2009年第6期11-15,共5页Journal of Guangzhou University:Natural Science Edition

基　　金：Partially supported by China National Natural Science Funds (10826039);Guangdong Natural Science Funds ( 8451009101001022 )

摘　　要：建立了一个随机传染病模型,此模型中传染个体可能具有多样化的疾病传播模式.利用最近一个关于算子谱半径连续性的结果,证明了当基本再生数R_0>1时,在一个疾病大爆发的初期,染病人口的数量呈指数增长,而染病人数的本质增长率就是基本再生核的马尔萨斯常数.In this paper,we present a stochastic epidemic model in which the individuals may have diverse patterns of behavior in disease transmission. Using a recent result,concerning the continuity of the spectral radius, we show that if the basic reproduction number R_0>1, then the amount of infectious population in the initial stage of a major outbreak will grow exponentially with an intrinsic growth rate r, which is identical to the Malthusian parameter of the reproduction kernel.

关 键 词：马尔萨斯常数 SIR模型 基本再生数 本质增长率 

分 类 号：R181.3[医药卫生—流行病学]