| ID | 48237 |
| JaLCDOI | |
| Sort Key | 3
|
| Title Alternative | Basic Reproductive Ratio for Epdiemic Models (Review)
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| FullText URL | |
| Author |
Sumita, Masanori
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| Abstract | We review some fundamental results on the basic reproductive ratio of models in epidemiology following several documents. We present the general denition of the basic reproductive ratio and the threshold theorem of for the stability of the disease free equilibrium. All results for non-negative matrices and non singular M-matrices which we need in the denition of the basic reproductive ratio and the proof of the threshold theorem are also presented. All parts of the review are self-contained, and all parts of the proof are given explicitly.
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| Keywords | Basic reproductive ratio
epidemic model
Non negative matrix
M-matrix
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| Note | 研究論文 環境数理工学科
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| Publication Title |
岡山大学環境理工学部研究報告
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| Published Date | 2012-03
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| Volume | volume17
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| Issue | issue1
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| Publisher | 岡山大学環境理工学部
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| Publisher Alternative | Faculty of Environmental Science and Technology, Okayama University
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| Start Page | 1
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| End Page | 6
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| ISSN | 2185-3347
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| NCID | AN10529213
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| Content Type |
Departmental Bulletin Paper
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| OAI-PMH Set |
岡山大学
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| language |
Japanese
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| File Version | publisher
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| NAID | |
| Eprints Journal Name | fest
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