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Original Articles

Actuarial Applications of Epidemiological Models

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Pages 112-136 | Published online: 27 Dec 2012

References

  • Anderson , R. M. and May , R. M. 1991 . Infectious Diseases of Humans , Oxford : Oxford University Press .
  • Barnes , B. and Fulford , G. R. 2008 . Mathematical Modelling with Case Studies: A Differential Equations Approach Using Maple and MATLAB. , 2nd ed. , Boca Raton, FL : Chapman & Hall/CRC .
  • Bowers , N. L. , Gerber , H. U. , Hickman , J. C. , Jones , D. A. and Nesbitt , C. J. 1997 . Actuarial Mathematics , Schaumburg, IL : Society of Actuaries .
  • Boyce , W. E. and Diprima , R. C. 1986 . Elementary Differential Equations and Boundary Value Problems. , 4th ed. , New York : John Wiley and Sons .
  • Brauer , F. and Castillo-Chavez , C. 2001 . Mathematical Models in Population Biology and Epidemiology , New York : Springer .
  • Chen , H. and Cox , S. H. 2009 . An Option-Based Operational Risk Management for Pandemics . North American Actuarial Journal , 13 ( 1 ) : 54 – 76 .
  • CIA . 2009 . Considerations for the Development of a Pandemic Scenario Canadian Institute of Actuaries, Committee on Risk Management and Capital Requirements. Research Paper 209095.
  • Chowell , G. , Fenimore , P. W. , Castillo-Garsow , M. A. and Castillo-Chavez , C. 2003 . SARS Outbreaks in Ontario, Hong Kong and Singapore: The Role of Diagnosis and Isolation as a Control Mechanism . Journal of Theoretical Biology , 224 : 1 – 8 .
  • Coombes , K. R. , Hunt , B. R. , Lipsman , R. L. , Osborn , J. E. and Stuck , G. J. 1997 . Differential Equations with Maple. , 2nd ed. , New York : John Wiley and Sons .
  • Cornall , M. , Chan , M. and Sparks , J. 2003 . “ UK Vaccination Programme Risk and Reward ” . In The Staple Inn Actuarial Society London
  • Gathy , M. and Lefèvre , C. 2009 . From Damage Models to SIR Epidemics and Cascading Failures . Advances in Applied Probability , 41 : 247 – 269 .
  • Hethcote , H. W. 2000 . The Mathematics of Infectious Diseases . Society for Industrial and Applied Mathematics Review , 42 ( 4 ) : 599 – 653 .
  • Hethcote , H. W. , Stech , H. W. and van den Driessche , P. 1981 . “ Periodicity and Stability in Epidemics Models: A Survey ” . In Differential Equations and Applications in Ecology, Epidemics and Population Problems , 65 – 82 . New York : Academic Press .
  • Hoem , J. M. 1988 . “ The Versatility of the Markov Chain as a Tool in the Mathematics of Life Insurance ” . In Record of Proceedings, International Congress of Actuaries 171 – 202 . Helsinki, Finland
  • Jia , N. and Tsui , L. 2005 . Epidemic Modelling Using SARS as a Case Study . North American Actuarial Journal , 9 ( 4 ) : 28 – 42 .
  • Jones , B. L. 1994 . Actuarial Calculations Using a Markov Model . Transactions of the Society of Actuaries , 46 : 227 – 250 .
  • Lefèvre , C. 2005 . “ SIR Epidemic Models ” . In Encyclopedia of Biostatistics , Edited by: Armitage , P. and Colton , T. vol. 7 , 4960 – 4966 . New York : John Wiley and Sons .
  • Lefèvre , C. and Utev , S. 1999 . Branching Approximation for the Collective Epidemic Model . Methodology and Computing in Applied Probability , 1 : 211 – 228 .
  • Mäkinen, M. 2009. Pandemic. International Actuarial Association, Task Force on Mortality. http://www.actuaries.org/CTTEESTFM/Documents/PandemicMakinenEN.pdf .
  • Mollison , D. , Isham , V. and Grenfell , B. T. 1994 . Epidemics: Models and Data . Journal of Royal Statistical Society A , 157 ( Part 1 ) : 115 – 149 .
  • Picard , P. and Lefèvre , C. 1990 . A Unified Analysis of the Final State and Severity Distribution in Collective Reed-Frost Epidemic Processes . Advances in Applied Probability , 22 : 269 – 294 .
  • Raggett , G. F. 1982 . Modeling the Eyam Plague . Bulletin of the Institute of Mathematics and Its Applications , 18 : 221 – 226 .
  • Stracke , A. and Heinen , W. 2006 . Influenza Pandemic: The Impact on an Insured Lives Life Insurance Portfolio . Actuary Magazine , 3 ( 3 ) : 22 – 26 . (June)
  • Waters , H. R. 1984 . An Approach to the Study of Multiple State Models . Journal of the Institute of Actuaries , 111 ( Part II ) : 611 – 624 .

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