<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html> <head> <title>UTas ePrints - How should pathogen transmission be modelled?</title> <script type="text/javascript" src="http://eprints.utas.edu.au/javascript/auto.js"><!-- padder --></script> <style type="text/css" media="screen">@import url(http://eprints.utas.edu.au/style/auto.css);</style> <style type="text/css" media="print">@import url(http://eprints.utas.edu.au/style/print.css);</style> <link rel="icon" href="/images/eprints/favicon.ico" type="image/x-icon" /> <link rel="shortcut icon" href="/images/eprints/favicon.ico" type="image/x-icon" /> <link rel="Top" href="http://eprints.utas.edu.au/" /> <link rel="Search" href="http://eprints.utas.edu.au/cgi/search" /> <meta content="McCallum, Hamish I." name="eprints.creators_name" /> <meta content="Barlow, Nigel" name="eprints.creators_name" /> <meta content="Hone, Jim" name="eprints.creators_name" /> <meta content="hamish.mccallum@utas.edu.au" name="eprints.creators_id" /> <meta content="" name="eprints.creators_id" /> <meta content="" name="eprints.creators_id" /> <meta content="article" name="eprints.type" /> <meta content="2007-10-24 04:12:36" name="eprints.datestamp" /> <meta content="2008-01-08 15:30:00" name="eprints.lastmod" /> <meta content="show" name="eprints.metadata_visibility" /> <meta content="How should pathogen transmission be modelled?" name="eprints.title" /> <meta content="pub" name="eprints.ispublished" /> <meta content="270799" name="eprints.subjects" /> <meta content="300503" name="eprints.subjects" /> <meta content="restricted" name="eprints.full_text_status" /> <meta content="pathogen transmission; host-pathogen models; disease management; mass action; transmission dynamics; pseudo mass action " name="eprints.keywords" /> <meta content="The definitive version is available at http://www.sciencedirect.com " name="eprints.note" /> <meta content="Host–pathogen models are essential for designing strategies for managing disease threats to humans, wild animals and domestic animals.The behaviour of these models is greatly affected by the way in which transmission between infected and susceptible hosts is modelled. Since host–pathogen models were first developed at the beginning of the 20th century, the ‘mass action’ assumption has almost always been used for transmission. Recently, however, it has been suggested that mass action has often been modelled wrongly. Alternative models of transmission are beginning to appear, as are empirical tests of transmission dynamics." name="eprints.abstract" /> <meta content="2001" name="eprints.date" /> <meta content="published" name="eprints.date_type" /> <meta content="Trends in Ecology and Evolution" name="eprints.publication" /> <meta content="16" name="eprints.volume" /> <meta content="6" name="eprints.number" /> <meta content="295-301" name="eprints.pagerange" /> <meta content="10.1016/S0169-5347(01)02144-9" name="eprints.id_number" /> <meta content="TRUE" name="eprints.refereed" /> <meta content="0169-5347" name="eprints.issn" /> <meta content="http://dx.doi.org/10.1016/S0169-5347(01)02144-9" name="eprints.official_url" /> <meta content="1 Hamer, W.H. (1906) Epidemic disease in England – the evidence of variability and the persistence of type. Lancet 1, 733–739 2 Kermack, W.O. and McKendrick, A.G. (1927) A contribution to the mathematical theory of epidemics. Proc. R. Soc. London B Biol. Sci. 115, 700–721 3 de Jong, M.C.M. et al. (1995) How does transmission of infection depend on population size? In Epidemic Models: Their Structure and Relation to Data (Mollison, D., ed.), pp. 84–94, Cambridge University Press 4 Anderson, R.M. and May, R.M. (1978) Regulation and stability of host–parasite interactions. I. Regulatory processes. J. Anim. Ecol. 47, 219–247 5 May, R.M. and Anderson, R.M. (1978) Regulation and stability of host–parasite interactions. II. Destabilizing processes. J. Anim. Ecol. 47, 249–267 6 Anderson, R.M. and May, R.M. (1979) Population biology of infectious diseases. Part I. Nature 280, 361–367 7 May, R.M. and Anderson, R.M. (1979) Population biology of infectious diseases. Part II. Nature 280, 455–461 8 White, P.C.L. and Harris, S. (1995) Bovine tuberculosis in badger (Meles meles) populations in southwest England: an assessment of past, present and possible future control strategies using simulation modelling. Philos. Trans. R. Soc. London Ser. B 349, 415–432 9 Pech, R.P. and Hone, J. (1988) A model of the dynamics and control of an outbreak of foot and mouth disease in feral pigs in Australia. J. Appl. Ecol. 25, 63–77 10 Anderson, R.M. et al. (1981) Population dynamics of fox rabies in Europe. Nature 289, 765–771 11 Swinton, J. et al. (1998) Persistence thresholds for phocine distemper virus infection in harbour seal Phoca vitulina metapopulations. J. Anim. Ecol. 67, 54–68 12 Barlow, N.D. (1994) Predicting the effect of a novel vertebrate biocontrol agent: a model for viral-vectored immunocontraception of New Zealand possums. J. Appl. Ecol. 31, 454–462 13 May, R.M. and Anderson, R.M. (1987) Transmission dynamics of HIV infection. Nature 326, 137–142 14 Holling, C.S. (1959) The components of predation as revealed by a study of small mammal predation on the European pine sawfly. Can. J. Entomol. 91, 293–320 15 Antonovics, J. et al. (1995) A generalized model of parasitoid, venereal, and vector based transmission processes. Am. Nat. 145, 661–675 16 Barlow, N.D. (1991) A spatially aggregated disease/host model for bovine TB in New Zealand possum populations. J. Appl. Ecol. 28, 777–793 17 Dwyer, G. et al. (1997) Host heterogeneity in susceptibility and disease dynamics: tests of a mathematical model. Am. Nat. 150, 685–707 18 De Leo, G.A. and Dobson, A.P. (1996) Allometry and simple epidemic models for microparasites. Nature 379, 720–722 19 Hone, J. (1994) Analysis of Vertebrate Pest Control, Cambridge University Press 20 Finkenstädt, B.F. and Grenfell, B. (2000) Time series modelling of childhood diseases: a dynamical systems approach. Appl. Stat. 49, 187–205 21 McCallum, H. (2000) Population Parameters: Estimation for Ecological Models, Blackwell Science 22 Grenfell, B.T. and Anderson, R.M. (1985) The estimation of age-related rates of infection from case notifications and serological data. J. Hygiene 95, 419–436 23 Knell, R.J. et al. (1996) Transmission dynamics of Bacillus thuringiensis infecting Plodia interpunctella: a test of the mass action assumption with an insect pathogen. Proc. R. Soc. London B Biol. Sci. 263, 75–81 24 Knell, R.J. et al. (1998) Transmission of Plodia interpunctella granulosis virus does not conform to the mass action model. J. Anim. Ecol. 67, 592–599 25 D’Amico, V. et al. (1996) Virus transmission in gypsy moths is not a simple mass action process. Ecology 77, 201–206 26 Bouma, A. et al. (1995) Transmission of pseudorabies virus within pig populations is independent of the size of the population. Prev. Vet. Med. 23, 163–172 27 Reeson, A.F. et al. (2000) Effects of phenotypic plasticity on pathogen transmission in the field in a Lepidoptera-NPV system. Oecologia 124, 373–380 28 Barlow, N.D. (2000) Non-linear transmission and simple models for bovine tuberculosis. J. Anim. Ecol. 69, 703–713 29 Begon, M. et al. (1998) Population and transmission dynamics of cowpox in bank voles: testing fundamental assumptions. Ecol. Lett. 1, 82–86 30 Begon, M. et al. (1999) Transmission dynamics of a zoonotic pathogen within and between wildlife host species. Proc. R. Soc. London B Biol. Sci. 266, 1939–1945 31 Dobson, A.P. and Meagher, M. (1996) The population dynamics of brucellosis in the Yellowstone National Park. Ecology 77, 1026–1036 32 Keeling, M.J. and Grenfell, B.T. (2000) Individual-based perspectives on R0. J. Theor. Biol. 203, 51–61 33 Severo, N.C. (1969) Generalizations of some stochastic epidemic models. Math. Biosci. 4, 367–394 34 Liu, W. et al. (1986) Influence of non-linear incidence rates upon the behaviour of SIRS epidemiological models. J. Math. Biol. 23, 187–204 35 Hochberg, M.E. (1991) Non-linear transmission rates and the dynamics of infectious disease. J. Theor. Biol. 153, 301–321 36 Briggs, C.J. and Godfray, H.C.J. (1995) The dynamics of insect–pathogen interactions in stage-structured populations. Am. Nat. 145, 845–887 37 Diekmann, O. and Kretzschmar, M. (1991) Patterns in the effects of infectious diseases on population growth. J. Math. Biol. 29, 539–570 38 Roberts, M.G. (1996) The dynamics of bovine tuberculosis in possum populations and its eradication or control by culling or vaccination. J. Anim. Ecol. 65, 451–464 39 Heesterbeck, J.A.P and Metz, J.A.J. (1993) The saturating contact rate in marriage and epidemic models. J. Math. Biol. 31, 5" name="eprints.referencetext" /> <meta content="McCallum, Hamish I. and Barlow, Nigel and Hone, Jim (2001) How should pathogen transmission be modelled? Trends in Ecology and Evolution, 16 (6). pp. 295-301. ISSN 0169-5347" name="eprints.citation" /> <meta content="http://eprints.utas.edu.au/2328/1/TEE_June_McCallum_pp295-300.pdf" name="eprints.document_url" /> <link rel="schema.DC" href="http://purl.org/DC/elements/1.0/" /> <meta content="How should pathogen transmission be modelled?" name="DC.title" /> <meta content="McCallum, Hamish I." name="DC.creator" /> <meta content="Barlow, Nigel" name="DC.creator" /> <meta content="Hone, Jim" name="DC.creator" /> <meta content="270799 Ecology and Evolution not elsewhere classified" name="DC.subject" /> <meta content="300503 Epidemiology" name="DC.subject" /> <meta content="Host–pathogen models are essential for designing strategies for managing disease threats to humans, wild animals and domestic animals.The behaviour of these models is greatly affected by the way in which transmission between infected and susceptible hosts is modelled. Since host–pathogen models were first developed at the beginning of the 20th century, the ‘mass action’ assumption has almost always been used for transmission. Recently, however, it has been suggested that mass action has often been modelled wrongly. Alternative models of transmission are beginning to appear, as are empirical tests of transmission dynamics." name="DC.description" /> <meta content="2001" name="DC.date" /> <meta content="Article" name="DC.type" /> <meta content="PeerReviewed" name="DC.type" /> <meta content="application/pdf" name="DC.format" /> <meta content="http://eprints.utas.edu.au/2328/1/TEE_June_McCallum_pp295-300.pdf" name="DC.identifier" /> <meta content="http://dx.doi.org/10.1016/S0169-5347(01)02144-9" name="DC.relation" /> <meta content="McCallum, Hamish I. and Barlow, Nigel and Hone, Jim (2001) How should pathogen transmission be modelled? Trends in Ecology and Evolution, 16 (6). pp. 295-301. 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class="not_ep_block"><span class="person_name">McCallum, Hamish I.</span> and <span class="person_name">Barlow, Nigel</span> and <span class="person_name">Hone, Jim</span> (2001) <xhtml:em>How should pathogen transmission be modelled?</xhtml:em> Trends in Ecology and Evolution, 16 (6). pp. 295-301. ISSN 0169-5347</p><p style="margin-bottom: 1em" class="not_ep_block"></p><table style="margin-bottom: 1em" class="not_ep_block"><tr><td valign="top" style="text-align:center"><a href="http://eprints.utas.edu.au/2328/1/TEE_June_McCallum_pp295-300.pdf"><img alt="[img]" src="http://eprints.utas.edu.au/style/images/fileicons/application_pdf.png" class="ep_doc_icon" border="0" /></a></td><td valign="top"><a href="http://eprints.utas.edu.au/2328/1/TEE_June_McCallum_pp295-300.pdf"><span class="ep_document_citation">PDF</span></a> - Full text restricted - Requires a PDF viewer<br />96Kb</td><td><form method="get" accept-charset="utf-8" action="http://eprints.utas.edu.au/cgi/request_doc"><input accept-charset="utf-8" value="2985" name="docid" type="hidden" /><div class=""><input value="Request a copy" name="_action_null" class="ep_form_action_button" onclick="return EPJS_button_pushed( '_action_null' )" type="submit" /> </div></form></td></tr></table><p style="margin-bottom: 1em" class="not_ep_block">Official URL: <a href="http://dx.doi.org/10.1016/S0169-5347(01)02144-9">http://dx.doi.org/10.1016/S0169-5347(01)02144-9</a></p><div class="not_ep_block"><h2>Abstract</h2><p style="padding-bottom: 16px; text-align: left; margin: 1em auto 0em auto">Host–pathogen models are essential for designing strategies for managing disease threats to humans, wild animals and domestic animals.The behaviour of these models is greatly affected by the way in which transmission between infected and susceptible hosts is modelled. Since host–pathogen models were first developed at the beginning of the 20th century, the ‘mass action’ assumption has almost always been used for transmission. Recently, however, it has been suggested that mass action has often been modelled wrongly. Alternative models of transmission are beginning to appear, as are empirical tests of transmission dynamics.</p></div><table style="margin-bottom: 1em" cellpadding="3" class="not_ep_block" border="0"><tr><th valign="top" class="ep_row">Item Type:</th><td valign="top" class="ep_row">Article</td></tr><tr><th valign="top" class="ep_row">Additional Information:</th><td valign="top" class="ep_row">The definitive version is available at http://www.sciencedirect.com </td></tr><tr><th valign="top" class="ep_row">Keywords:</th><td valign="top" class="ep_row">pathogen transmission; host-pathogen models; disease management; mass action; transmission dynamics; pseudo mass action </td></tr><tr><th valign="top" class="ep_row">Subjects:</th><td valign="top" class="ep_row"><a href="http://eprints.utas.edu.au/view/subjects/270799.html">270000 Biological Sciences > 270700 Ecology and Evolution > 270799 Ecology and Evolution not elsewhere classified</a><br /><a href="http://eprints.utas.edu.au/view/subjects/300503.html">300000 Agricultural, Veterinary and Environmental Sciences > 300500 Veterinary Sciences > 300503 Epidemiology</a></td></tr><tr><th valign="top" class="ep_row">ID Code:</th><td valign="top" class="ep_row">2328</td></tr><tr><th valign="top" class="ep_row">Deposited By:</th><td valign="top" class="ep_row"><span class="ep_name_citation"><span class="person_name">Prof Hamish McCallum</span></span></td></tr><tr><th valign="top" class="ep_row">Deposited On:</th><td valign="top" class="ep_row">24 Oct 2007 15:12</td></tr><tr><th valign="top" class="ep_row">Last Modified:</th><td valign="top" class="ep_row">09 Jan 2008 02:30</td></tr><tr><th valign="top" class="ep_row">ePrint Statistics:</th><td valign="top" class="ep_row"><a target="ePrintStats" href="/es/index.php?action=show_detail_eprint;id=2328;">View statistics for this ePrint</a></td></tr></table><p align="right">Repository Staff Only: <a href="http://eprints.utas.edu.au/cgi/users/home?screen=EPrint::View&eprintid=2328">item control page</a></p> </td></tr></table> </div> <!-- InstanceEndEditable --></td> </tr> <tr> <td><!-- #BeginLibraryItem "/Library/footer_eprints.lbi" --> <table width="795" border="0" align="left" cellpadding="0" class="footer"> <tr valign="top"> <td colspan="2"><div align="center"><a href="http://www.utas.edu.au">UTAS home</a> | <a href="http://www.utas.edu.au/library/">Library home</a> | <a href="/">ePrints home</a> | <a href="/contact.html">contact</a> | <a href="/information.html">about</a> | <a href="/view/">browse</a> | <a href="/perl/search/simple">search</a> | <a href="/perl/register">register</a> | <a href="/perl/users/home">user area</a> | <a href="/help/">help</a></div><br /></td> </tr> <tr><td colspan="2"><p><img src="/images/eprints/footerline.gif" width="100%" height="4" /></p></td></tr> <tr valign="top"> <td width="68%" class="footer">Authorised by the University Librarian<br /> © University of Tasmania ABN 30 764 374 782<br /> <a href="http://www.utas.edu.au/cricos/">CRICOS Provider Code 00586B</a> | <a href="http://www.utas.edu.au/copyright/copyright_disclaimers.html">Copyright & Disclaimers</a> | <a href="http://www.utas.edu.au/accessibility/index.html">Accessibility</a> | <a href="http://eprints.utas.edu.au/feedback/">Site Feedback</a> </td> <td width="32%"><div align="right"> <p align="right" class="NoPrint"><a href="http://www.utas.edu.au/"><img src="http://www.utas.edu.au/shared/logos/unioftasstrip.gif" alt="University of Tasmania Home Page" width="260" height="16" border="0" align="right" /></a></p> <p align="right" class="NoPrint"><a href="http://www.utas.edu.au/"><br /> </a></p> </div></td> </tr> <tr valign="top"> <td><p> </p></td> <td><div align="right"><span class="NoPrint"><a href="http://www.eprints.org/software/"><img src="/images/eprintslogo.gif" alt="ePrints logo" width="77" height="29" border="0" align="bottom" /></a></span></div></td> </tr> </table> <!-- #EndLibraryItem --> <div align="center"></div></td> </tr> </table> </body> </html>