{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T10:34:28Z","timestamp":1790937268987,"version":"4.1.0"},"reference-count":19,"publisher":"Wiley","issue":"23","license":[{"start":{"date-parts":[[2008,2,20]],"date-time":"2008-02-20T00:00:00Z","timestamp":1203465600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2008,10,15]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The most common quantity used to describe the growth of an epidemic when modelling infectious diseases is the basic reproduction number<jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>. While<jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>is most appropriate for epidemics with short\u2010lasting infections, long\u2010lasting infections such as HIV\/AIDS may call for the use of growth rates with other properties. For a group of multi\u2010state compartment models we define both<jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>, the actual reproduction number<jats:italic>R<\/jats:italic><jats:sub>a<\/jats:sub>(<jats:italic>t<\/jats:italic>), and the intrinsic growth rate<jats:italic>r<\/jats:italic>. We study the relationship between these different reproduction numbers and growth rates and take a brief look at how they could be estimated from actual observed data. The work is illustrated by a model for HIV\/AIDS progression among homosexual men in England and Wales. We conclude that other measures of growth, in addition to<jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>, give important supplementary information. Copyright \u00a9 2008 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/sim.3219","type":"journal-article","created":{"date-parts":[[2008,2,20]],"date-time":"2008-02-20T13:29:54Z","timestamp":1203514194000},"page":"4817-4834","source":"Crossref","is-referenced-by-count":22,"title":["Growth rates in epidemic models: Application to a model for HIV\/AIDS progression"],"prefix":"10.1002","volume":"27","author":[{"given":"Jon Michael","family":"Gran","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Linn","family":"Wasmuth","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ellen J.","family":"Amundsen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bo H.","family":"Lindqvist","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Odd O.","family":"Aalen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2008,8,28]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198545996.001.0001","volume-title":"Infectious Diseases of Humans\u2014Dynamics and Control","author":"Anderson RM","year":"1991"},{"key":"e_1_2_1_3_2","volume-title":"Mathematical Epidemiology of Infectious Diseases. 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