疫学における区画モデル (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "疫学における区画モデル" in Japanese language version.

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9doi.org

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3harvard.edu

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arxiv.org

Harko, Tiberiu; Lobo, Francisco S. N.; Mak, M. K. (2014). “Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates” (英語). Applied Mathematics and Computation 236: 184–194. arXiv:1403.2160. Bibcode: 2014arXiv1403.2160H. doi:10.1016/j.amc.2014.03.030.

colgate.edu

math.colgate.edu

(p. 19) The SI Model

doi.org

Kermack, W. O.; McKendrick, A. G. (1927). “A Contribution to the Mathematical Theory of Epidemics”. Proceedings of the Royal Society A 115 (772): 700–721. Bibcode: 1927RSPSA.115..700K. doi:10.1098/rspa.1927.0118.
Krylova, O.; Earn, DJ (May 15, 2013). “Effects of the infectious period distribution on predicted transitions in childhood disease dynamics”. J R Soc Interface 10 (84). doi:10.1098/rsif.2013.0098 June 13, 2020閲覧。.
Hethcote H (2000). “The Mathematics of Infectious Diseases”. SIAM Review 42 (4): 599–653. Bibcode: 2000SIAMR..42..599H. doi:10.1137/s0036144500371907.
Harko, Tiberiu; Lobo, Francisco S. N.; Mak, M. K. (2014). “Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates” (英語). Applied Mathematics and Computation 236: 184–194. arXiv:1403.2160. Bibcode: 2014arXiv1403.2160H. doi:10.1016/j.amc.2014.03.030.
Miller, J.C. (2012). “A note on the derivation of epidemic final sizes”. Bulletin of Mathematical Biology 74 (9): section 4.1. doi:10.1007/s11538-012-9749-6. PMC 3506030. PMID 22829179.
Miller, J.C. (2017). “Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes”. Infectious Disease Modelling 2 (1): section 2.1.3. doi:10.1016/j.idm.2016.12.003. PMC 5963332. PMID 29928728.
Hethcote, Herbert W. (1989). “Three Basic Epidemiological Models”. In Levin, Simon A.; Hallam, Thomas G.; Gross, Louis J.. Applied Mathematical Ecology. Biomathematics. 18. Berlin: Springer. pp. 119–144. doi:10.1007/978-3-642-61317-3_5. ISBN 3-540-19465-7
Amenaghawon Osemwinyen, Aboubakary Diakhaby (2015). “Mathematical Modelling of the Transmission Dynamics of Ebola Virus”. Applied and Computational Mathematics 4 (4): 313–320. doi:10.11648/j.acm.20150404.19.
Bartlett MS (1957). “Measles periodicity and community size”. Journal of the Royal Statistical Society, Series A 120 (1): 48–70. doi:10.2307/2342553. JSTOR 2342553.

harvard.edu

ui.adsabs.harvard.edu

Kermack, W. O.; McKendrick, A. G. (1927). “A Contribution to the Mathematical Theory of Epidemics”. Proceedings of the Royal Society A 115 (772): 700–721. Bibcode: 1927RSPSA.115..700K. doi:10.1098/rspa.1927.0118.
Hethcote H (2000). “The Mathematics of Infectious Diseases”. SIAM Review 42 (4): 599–653. Bibcode: 2000SIAMR..42..599H. doi:10.1137/s0036144500371907.
Harko, Tiberiu; Lobo, Francisco S. N.; Mak, M. K. (2014). “Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates” (英語). Applied Mathematics and Computation 236: 184–194. arXiv:1403.2160. Bibcode: 2014arXiv1403.2160H. doi:10.1016/j.amc.2014.03.030.

jstor.org

Bartlett MS (1957). “Measles periodicity and community size”. Journal of the Royal Statistical Society, Series A 120 (1): 48–70. doi:10.2307/2342553. JSTOR 2342553.

nih.gov

researchgate.net

Amenaghawon Osemwinyen, Aboubakary Diakhaby (2015). “Mathematical Modelling of the Transmission Dynamics of Ebola Virus”. Applied and Computational Mathematics 4 (4): 313–320. doi:10.11648/j.acm.20150404.19.

wolfram.com

“Mathematica, Version 12.1”. Champaign IL, 2020. 2020年6月26日閲覧。