JaLCDOI 10.18926/fest/48237
Title Alternative Basic Reproductive Ratio for Epdiemic Models (Review)
FullText URL fest_017_001_006.pdf
Author Sumita, Masanori| Kajiwara, Tsuyoshi|
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.
Keywords Basic reproductive ratio epidemic model Non negative matrix M-matrix
Note 研究論文 環境数理工学科
Publication Title 岡山大学環境理工学部研究報告
Published Date 2012-03
Volume volume17
Issue issue1
Publisher 岡山大学環境理工学部
Publisher Alternative Faculty of Environmental Science and Technology, Okayama University
Start Page 1
End Page 6
ISSN 2185-3347
NCID AN10529213
Content Type Departmental Bulletin Paper
language 日本語
File Version publisher
NAID 120004025482
Sort Key 3
Eprints Journal Name fest
Author Kajiwara, Tsuyoshi|
Published Date 1999-02-26
Publication Title 岡山大学環境理工学部研究報告
Volume volume4
Issue issue1
Content Type Departmental Bulletin Paper
Author Sasaki, Toru| Ishikawa, Hirofumi| Kajiwara, Tsuyoshi| Watanabe, Masaji|
Published Date 1996-03
Publication Title 岡山大学環境理工学部研究報告
Volume volume1
Issue issue1
Content Type Departmental Bulletin Paper
Author Kajiwara, Tsuyoshi|
Published Date 1996-03
Publication Title 岡山大学環境理工学部研究報告
Volume volume1
Issue issue1
Content Type Departmental Bulletin Paper
Author Sasaki, Toru| Kajiwara, Tsuyoshi| Ishikawa, Hirofumi|
Published Date 1998-01-14
Publication Title 岡山大学環境理工学部研究報告
Volume volume3
Issue issue1
Content Type Departmental Bulletin Paper
Author Kajiwara, Tsuyoshi|
Published Date 1998-01-14
Publication Title 岡山大学環境理工学部研究報告
Volume volume3
Issue issue1
Content Type Departmental Bulletin Paper
Author Sasaki, Toru| Kajiwara, Tsuyoshi|
Published Date 2000-02-29
Publication Title 岡山大学環境理工学部研究報告
Volume volume5
Issue issue1
Content Type Departmental Bulletin Paper
Author Sasaki, Toru| Kajiwara, Tsuyoshi|
Published Date 2000-02-29
Publication Title 岡山大学環境理工学部研究報告
Volume volume5
Issue issue1
Content Type Departmental Bulletin Paper
Author Kajiwara, Tsuyoshi| Okita, Tomoki|
Published Date 2001-02-28
Publication Title 岡山大学環境理工学部研究報告
Volume volume6
Issue issue1
Content Type Departmental Bulletin Paper
Author Murase, Akiko| Sasaki, Toru| Kajiwara, Tsuyoshi|
Published Date 2002-03-22
Publication Title 岡山大学環境理工学部研究報告
Volume volume7
Issue issue1
Content Type Departmental Bulletin Paper
Author Yamauchi, Ken-ichi| Kajiwara, Tsuyoshi|
Published Date 2003-03
Publication Title 岡山大学環境理工学部研究報告
Volume volume8
Issue issue1
Content Type Departmental Bulletin Paper
Author Sasaki, Toru| Kajiwara, Tsuyoshi|
Published Date 2005-02-28
Publication Title 岡山大学環境理工学部研究報告
Volume volume10
Issue issue1
Content Type Departmental Bulletin Paper
Author Kajiwara, Tsuyoshi| Sasaki, Toru|
Published Date 2005-02-28
Publication Title 岡山大学環境理工学部研究報告
Volume volume10
Issue issue1
Content Type Departmental Bulletin Paper
Author Iuchi Takuma| Kajiwara, Tsuyoshi|
Published Date 2004-02-27
Publication Title 岡山大学環境理工学部研究報告
Volume volume9
Issue issue1
Content Type Departmental Bulletin Paper
Author Morita, Toshimasa| Kajiwara, Tsuyoshi|
Published Date 2006-03-15
Publication Title 岡山大学環境理工学部研究報告
Volume volume11
Issue issue1
Content Type Departmental Bulletin Paper