ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES

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	ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES
	Lan Guolie 1; Ma Zhiming2 ; Sun Suyong 2,3
	2009-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	29 期号:4 页码:1081-1094
摘要	Under a very general condition (TNC condition) we show that the spectral radius of the kernel of a general branching process is a threshold parameter and hence plays a role as the basic reproduction number in usual CMJ processes. We discuss also some properties of the extinction probability and the generating operator of general branching processes. As an application in epidemics, in the final section we suggest a generalization of SIR model which can describe infectious diseases transmission in an inhomogeneous population.
关键词	general branching process extinction probability reproduction kernel spectral radius TNC condition basic reproduction number SIR model
语种	英语
资助项目	NSFC ; 973 Project
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000272545200018
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7145
专题	应用数学研究所
通讯作者	Lan Guolie
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lan Guolie,Ma Zhiming,Sun Suyong. ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES[J]. ACTA MATHEMATICA SCIENTIA,2009,29(4):1081-1094.
APA	Lan Guolie,Ma Zhiming,&Sun Suyong.(2009).ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES.ACTA MATHEMATICA SCIENTIA,29(4),1081-1094.
MLA	Lan Guolie,et al."ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES".ACTA MATHEMATICA SCIENTIA 29.4(2009):1081-1094.