{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,27]],"date-time":"2024-07-27T00:50:49Z","timestamp":1722041449581},"reference-count":15,"publisher":"The Royal Society","issue":"26","license":[{"start":{"date-parts":[[2008,2,12]],"date-time":"2008-02-12T00:00:00Z","timestamp":1202774400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/royalsociety.org\/journals\/ethics-policies\/data-sharing-mining\/"}],"content-domain":{"domain":["royalsocietypublishing.org"],"crossmark-restriction":true},"short-container-title":["J. R. Soc. Interface."],"published-print":{"date-parts":[[2008,9,6]]},"abstract":"<jats:p>Model sensitivity is a key to evaluation of mathematical models in ecology and evolution, especially in complex models with numerous parameters. In this paper, we use some recently developed methods for sensitivity analysis to study the parameter sensitivity of a model of vector-borne bubonic plague in a rodent population proposed by Keeling &amp; Gilligan. The new sensitivity tools are based on a variational analysis involving the adjoint equation. The new approach provides a relatively inexpensive way to obtain derivative information about model output with respect to parameters. We use this approach to determine the sensitivity of a quantity of interest (the force of infection from rats and their fleas to humans) to various model parameters, determine a region over which linearization at a specific parameter reference point is valid, develop a global picture of the output surface, and search for maxima and minima in a given region in the parameter space.<\/jats:p>","DOI":"10.1098\/rsif.2007.1339","type":"journal-article","created":{"date-parts":[[2008,2,16]],"date-time":"2008-02-16T01:23:47Z","timestamp":1203125027000},"page":"1099-1107","update-policy":"http:\/\/dx.doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":8,"title":["Analysis of the sensitivity properties of a model of vector-borne bubonic plague"],"prefix":"10.1098","volume":"5","author":[{"given":"Megan","family":"Buzby","sequence":"first","affiliation":[{"name":"Department of Mathematics, Colorado State UniversityFort Collins, CO 80523, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Neckels","sequence":"additional","affiliation":[{"name":"Computational and Information Systems Laboratory, National Center for Atmospheric ResearchPO Box 3000, Boulder, Co 80307-3000, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael F","family":"Antolin","sequence":"additional","affiliation":[{"name":"Department of Biology, Colorado State UniversityFort Collins, CO 80523, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Donald","family":"Estep","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Colorado State UniversityFort Collins, CO 80523, USA"},{"name":"Department of Statistics, Colorado State UniversityFort Collins, CO 80523, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"175","published-online":{"date-parts":[[2008,2,12]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1461-0248.2006.01001.x"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492900002531"},{"key":"e_1_3_3_4_1","unstructured":"Eriksson K Estep D Hansbo P& Johnson C Computational differential equations. 1996 New York NY:Cambridge University Press."},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1137\/0732001"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2005.08.024"},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2006.10.048"},{"key":"e_1_3_3_8_1","unstructured":"Estep D. & Newton W. 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