onthebasicreproductionnumberofgeneralbranchingprocesses
文献类型：期刊论文
| 作者 | Lan Guolie1; Ma Zhimiug2; Sun Suyong2 |
| 刊名 | actamathematicascientia
 |
| 出版日期 | 2009 |
| 卷号 | 29期号:4页码:1081 |
| 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] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/43093]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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