Eradicating a disease: Lessons from mathematical epidemiology

College Mathematics Journal

Volumn 43, Issue 2, 2012, Pages 123-132

  Glomski, Matthew ^a   Ohanian, Edward ^b  

^a MARIST COLLEGE   (United States)

^b ALBANY LAW SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84857600614     PISSN: 07468342     EISSN: 19311346     Source Type: Journal    
DOI: 10.4169/college.math.j.43.2.123     Document Type: Article

References (19)

1. A. Behbehani, The smallpox story: Life and death of an old disease, Microbiol. Rev. 47 (1983) 455-509.
2. D. Bernoulli, Réflexions sur les avantages de l'inoculation, Mercure de France (1760) 173-190. English translation by R. Pulskamp, Department of Mathematics and Computer Science, Xavier University, Cincinnati (2009) available at http://www.cs.xu.edu/math/Sources/DanBernoulli/1760_reflections_inoculation.pdf
3. D. Bernoulli, Essai d'une nouvelle analyse de la mortalité causée par la petite vérole, & des avantages de l'inoculation pour la prévenir, Mém. Math. Phys. Acad. Roy. Sci., Paris (1766).
4. D. Bernoulli, An attempt at a new analysis of the mortality caused by smallpox and of the advantages of inoculation to prevent it, in Smallpox Inoculation: An Eighteenth Century Mathematical Controversy (trans. L. Bradley), University of Nottingham Department of Adult Education, 1971.
5. D. Bernoulli and S. Blower, An attempt at a new analysis of the mortality caused by smallpox and of the advantages of inoculation to prevent it, Rev. Med. Virol. 14 (2004) 275-288;available at http://dx.doi.org/10.1002/rmv.443
6. F. Brauer and C. Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Springer, New York, 2001.
7. Centers for Disease Control and Prevention, History and epidemiology of global smallpox eradication available at http://www.bt.cdc.gov/agent/smallpox/training/overview/
8. K. Dietz and J. A. P. Heesterbeek, Daniel Bernoulli's epidemiological model revisited, Math. Biosci. 180 (2002) 1-21 available at http://dx.doi.org/10.1016/S0025-5564(02)00122-0
9. L. Edelstein-Keshet, Mathematical Models in Biology, SIAM, Philadelphia, 2005.
10. R. Gani and S. Leach, Transmission potential of smallpox in contemporary populations, Nature 414 (2001) 748-751; available at http://dx.doi.org/10.1038/414748a.
11. Global Polio Eradication Initiative, Polio-Progess; available at http://www.polioeradication.org/Aboutus/Progress.aspx
12. Global Polio Eradication Initiative, Wild poliovirus 2005-2011 available at http://www.polioeradication.org/Portals/0/Document/Data&Monitoring/Wild_poliovirus_list_2005_2011_13Sep.pdf
13. H. Hethcote, The mathematics of infectious diseases, SIAM Rev. 42 (2000) 599-653 available at http://dx.doi.org/10.1137/S0036144500371907
14. W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy.Soc. A 115 (1927) 700-721 available at http://dx.doi.org/10.1098/rspa.1927.0118
15. J. D. Murray, Mathematical Biology I: An Introduction, Springer, New York, 1992
16. National Institutes of Health, Smallpox: A great and terrible scourge available at http://www.nlm.nih.gov/exhibition/smallpox/sp_success.html
17. E. Rozema, Epidemic models for SARS and measles, College Math. J. 38 (2007) 246-259.
18. J. Switkes, A modified discrete SIR model, College Math. J. 34 (2003) 399-402 available at http://dx.doi.org/10.2307/3595827
19. F. Wang, Application of the Lambert W function to the SIR epidemic model, College Math. J. 41 (2010) 156-159; available at http://dx.doi.org/10.4169/074683410X480276