onthebasicreproductionnumberofgeneralbranchingprocesses

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	onthebasicreproductionnumberofgeneralbranchingprocesses
	Lan Guolie 1; Ma Zhimiug 2; Sun Suyong 2
	2009-01-01
发表期刊	actamathematicascientia
ISSN	0252-9602
卷号	29 期号:4 页码:1081
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.
语种	英语
资助项目	[NSFC] ; [973 Project]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/43094
专题	中国科学院数学与系统科学研究院
作者单位	1.广州大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Lan Guolie,Ma Zhimiug,Sun Suyong. onthebasicreproductionnumberofgeneralbranchingprocesses[J]. actamathematicascientia,2009,29(4):1081.
APA	Lan Guolie,Ma Zhimiug,&Sun Suyong.(2009).onthebasicreproductionnumberofgeneralbranchingprocesses.actamathematicascientia,29(4),1081.
MLA	Lan Guolie,et al."onthebasicreproductionnumberofgeneralbranchingprocesses".actamathematicascientia 29.4(2009):1081.