ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES
文献类型：期刊论文
| 作者 | Lan Guolie1; Ma Zhiming2 ; Sun Suyong2,3
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 29期号:4页码:1081-1094 |
| 关键词 | general branching process extinction probability reproduction kernel spectral radius TNC condition basic reproduction number SIR model |
| ISSN号 | 0252-9602 |
| 英文摘要 | 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. |
| 资助项目 | NSFC ; 973 Project |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000272545200018 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7144]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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