The interplay between determinism and stochasticity in childhood diseases

The American Naturalist
P RohaniB T Grenfell

Abstract

An important issue in the history of ecology has been the study of the relative importance of deterministic forces and processes noise in shaping the dynamics of ecological populations. We address this question by exploring the temporal dynamics of two childhood infections, measles and whooping cough, in England and Wales. We demonstrate that epidemics of whooping cough are strongly influenced by stochasticity; fully deterministic approaches cannot achieve even a qualitative fit to the observed data. In contrast, measles dynamics are extremely well explained by a deterministic model. These differences are shown to be caused by their contrasting responses to dynamical noise due to different infectious periods.

References

Nov 22, 1991·Proceedings. Biological Sciences·D A Rand, H B Wilson
Nov 29, 1990·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·G SugiharaR M May
Apr 22, 1989·Proceedings of the Royal Society of London. Series B, Containing Papers of a Biological Character·B T Grenfell, R M Anderson
Jan 21, 1985·Journal of Theoretical Biology·W M Schaffer, M Kot
Mar 1, 1985·International Journal of Epidemiology·J A Clarkson, P E Fine
Jan 1, 1984·IMA Journal of Mathematics Applied in Medicine and Biology·D Schenzle
Jan 1, 1983·Journal of Mathematical Biology·I B Schwartz, H L Smith
Jan 22, 1993·Proceedings. Biological Sciences·B M Bolker, B T Grenfell
Oct 6, 1997·Mathematical Biosciences·H W Hethcote
Feb 21, 1998·Proceedings. Biological Sciences·D J EarnB T Grenfell
Dec 8, 1998·Proceedings. Biological Sciences·P RohaniB T Grenfell
Jun 12, 1999·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·M Keeling, B Grenfell
Jun 1, 1920·Proceedings of the National Academy of Sciences of the United States of America·R Pearl, L J Reed
Oct 1, 1997·Trends in Ecology & Evolution·B Grenfell, J Harwood

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Citations

Nov 12, 2005·Journal of Mathematical Biology·M E AlexanderA R Summers
Jun 5, 2013·Bulletin of Mathematical Biology·Eric Forgoston, Ira B Schwartz
Jun 24, 2004·Bulletin of Mathematical Biology·Nadarajah Kirupaharan, Linda J S Allen
Mar 31, 2004·Mathematical Biosciences·M E Alexander, S M Moghadas
May 17, 2006·Trends in Ecology & Evolution·Alan Hastings
Apr 28, 2010·Proceedings of the National Academy of Sciences of the United States of America·Matt J KeelingThomas A House
Mar 23, 2011·Proceedings of the National Academy of Sciences of the United States of America·Jennie S LavineOttar N Bjørnstad
Apr 1, 2007·Journal of Biological Dynamics·W M Schaffer, T V Bronnikova
Jul 1, 2007·Journal of Biological Dynamics·W M Schaffer, T V Bronnikova
Jan 11, 2007·Journal of the Royal Society, Interface·Olivier Restif, Bryan T Grenfell
Jan 26, 2007·Journal of the Royal Society, Interface·David AlonsoMercedes Pascual
Sep 20, 2007·Journal of the Royal Society, Interface·Hanh T H Nguyen, Pejman Rohani
Oct 16, 2009·Journal of the Royal Society, Interface·N B Mantilla-BeniersP Rohani
Feb 19, 2010·Journal of the Royal Society, Interface·Andrew J Black, Alan J McKane
Sep 17, 2011·Journal of the Royal Society, Interface·Katia Koelle, David A Rasmussen
Jun 22, 2012·Journal of the Royal Society, Interface·Ganna Rozhnova, Ana Nunes
Aug 10, 2005·Proceedings. Biological Sciences·Chris T Bauch
Apr 18, 2006·Proceedings. Biological Sciences·Olivier Restif, Bryan T Grenfell
May 25, 2006·Proceedings. Biological Sciences·Yunxin Huang, Pejman Rohani
Jun 17, 2006·Proceedings. Biological Sciences·Marco Festa-BianchetFanie Pelletier
May 25, 2006·Proceedings. Biological Sciences·Tim G BentonTim N Coulson
Sep 9, 2006·Proceedings. Biological Sciences·Nicholas C Grassly, Christophe Fraser
Sep 11, 2009·Proceedings. Biological Sciences·C Jessica E MetcalfViggo Andreasen
Apr 30, 2010·Proceedings. Biological Sciences·Matthew J FerrariOttar N Bjornstad
Apr 11, 2009·PLoS Computational Biology·Romulus BrebanPejman Rohani
Sep 9, 2010·PLoS Computational Biology·Karina LaneriMercedes Pascual
Sep 9, 2011·PLoS Computational Biology·David A RasmussenKatia Koelle
Aug 31, 2013·PloS One·Jennie S LavineOttar N Bjørnstad
Oct 3, 2013·PloS One·J Timothy Wootton, James D Forester
Oct 3, 2013·Molecular Biology and Evolution·Gabriel E LeventhalTanja Stadler
Jan 12, 2010·Chaos·Eric ForgostonIra B Schwartz
Feb 14, 2013·Journal of Mathematical Biology·E Augeraud-Véron, N Sari
Apr 4, 2014·Proceedings. Biological Sciences·Micaela Martinez-BakkerPejman Rohani
Nov 30, 2006·Proceedings of the National Academy of Sciences of the United States of America·Tim G Benton
Nov 23, 2006·Proceedings of the National Academy of Sciences of the United States of America·Daniel C ReumanJoel E Cohen
Oct 13, 2006·Proceedings of the National Academy of Sciences of the United States of America·Bret D ElderdGreg Dwyer
Jul 28, 2004·The American Naturalist·Yingcun XiaBryan T Grenfell
Oct 25, 2008·The American Naturalist·Luca BolzoniGiulio A De Leo
Sep 20, 2012·Mathematical Biosciences·Marcos A CapistránJorge X Velasco-Hernández
Mar 13, 2012·Trends in Ecology & Evolution·Andrew J Black, Alan J McKane
Dec 31, 2015·BMC Infectious Diseases·Mauricio LimaGerardo Chowell-Puente

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