{"id":"https://openalex.org/W197676839","doi":null,"title":"Modelling healthcare provision for an infectious disease using optimal control","display_name":"Modelling healthcare provision for an infectious disease using optimal control","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W197676839","mag":"197676839"},"language":"en","primary_location":{"id":"pmh:oai:opus.bath.ac.uk:31707","doi":null,"is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/31707/1/UnivBath_PhD_2010_V_Brown.pdf","pdf_url":"http://opus.bath.ac.uk/31707/1/UnivBath_PhD_2010_V_Brown.pdf","source":{"id":"https://openalex.org/S4306401631","display_name":"The University of Bath Online Publications Store (The University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Victoria Brown","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Victoria Brown","raw_affiliation_strings":["Department of Mathematical Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10146","display_name":"Cervical Cancer and HPV Research","score":0.0032999999821186066,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/human-papillomavirus","display_name":"human papillomavirus","score":0.9860000014305115},{"id":"https://openalex.org/keywords/hpv-vaccination","display_name":"HPV vaccination","score":0.8539999723434448},{"id":"https://openalex.org/keywords/waning-immunity","display_name":"waning immunity","score":0.9459999799728394},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.7310000061988831},{"id":"https://openalex.org/keywords/compartmental-epidemic-model","display_name":"compartmental epidemic model","score":0.7369999885559082},{"id":"https://openalex.org/keywords/age-structured-models","display_name":"age-structured models","score":0.7559999823570251},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.7319999933242798},{"id":"https://openalex.org/keywords/male-vaccination","display_name":"male vaccination","score":0.7369999885559082},{"id":"https://openalex.org/keywords/cost-effectiveness","display_name":"cost-effectiveness","score":0.7319999933242798},{"id":"https://openalex.org/keywords/vaccination-policy","display_name":"vaccination policy","score":0.5929999947547913},{"id":"https://openalex.org/keywords/disease-eradication","display_name":"disease eradication","score":0.6850000023841858}],"concepts":[{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.7708624005317688},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5549024939537048},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5472941994667053},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.5347747802734375},{"id":"https://openalex.org/C2780441014","wikidata":"https://www.wikidata.org/wiki/Q7907952","display_name":"Vaccine efficacy","level":3,"score":0.5255024433135986},{"id":"https://openalex.org/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"score":0.5051444172859192},{"id":"https://openalex.org/C106192422","wikidata":"https://www.wikidata.org/wiki/Q736798","display_name":"Herd immunity","level":3,"score":0.485243558883667},{"id":"https://openalex.org/C160735492","wikidata":"https://www.wikidata.org/wiki/Q31207","display_name":"Health care","level":2,"score":0.4742799401283264},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.44734737277030945},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.4468100965023041},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.4358721971511841},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.42608392238616943},{"id":"https://openalex.org/C2779341262","wikidata":"https://www.wikidata.org/wiki/Q182581","display_name":"Immunity","level":3,"score":0.41335344314575195},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.30689048767089844},{"id":"https://openalex.org/C8891405","wikidata":"https://www.wikidata.org/wiki/Q1059","display_name":"Immune system","level":2,"score":0.19502615928649902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1446824073791504},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.12974432110786438},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.1276370882987976},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.08927750587463379},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:opus.bath.ac.uk:31707","doi":null,"is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/31707/1/UnivBath_PhD_2010_V_Brown.pdf","pdf_url":"http://opus.bath.ac.uk/31707/1/UnivBath_PhD_2010_V_Brown.pdf","source":{"id":"https://openalex.org/S4306401631","display_name":"The University of Bath Online Publications Store (The University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},{"id":"pmh:hdl:10068/970226","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/970226","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"U - Thesis"},{"id":"mag:197676839","doi":null,"is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/31707/1/UnivBath_PhD_2010_V_Brown.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9763000011444092,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W228144990","https://openalex.org/W231975775","https://openalex.org/W1965307823","https://openalex.org/W1965858450","https://openalex.org/W1969228545","https://openalex.org/W1975961126","https://openalex.org/W1978854940","https://openalex.org/W1982685014","https://openalex.org/W1984962654","https://openalex.org/W1987881677","https://openalex.org/W1991327395","https://openalex.org/W1992326878","https://openalex.org/W2001509918","https://openalex.org/W2004909987","https://openalex.org/W2005000754","https://openalex.org/W2005416014","https://openalex.org/W2006414290","https://openalex.org/W2016448831","https://openalex.org/W2017436426","https://openalex.org/W2023521162","https://openalex.org/W2026073961","https://openalex.org/W2035470909","https://openalex.org/W2041278859","https://openalex.org/W2046415226","https://openalex.org/W2050898848","https://openalex.org/W2053976574","https://openalex.org/W2054428434","https://openalex.org/W2057061243","https://openalex.org/W2065899271","https://openalex.org/W2068606872","https://openalex.org/W2077666724","https://openalex.org/W2083182154","https://openalex.org/W2083225775","https://openalex.org/W2083796093","https://openalex.org/W2085936848","https://openalex.org/W2089454110","https://openalex.org/W2093340713","https://openalex.org/W2096386353","https://openalex.org/W2102335604","https://openalex.org/W2106777015","https://openalex.org/W2108032725","https://openalex.org/W2113839478","https://openalex.org/W2116282571","https://openalex.org/W2121155372","https://openalex.org/W2129701815","https://openalex.org/W2130036154","https://openalex.org/W2130283750","https://openalex.org/W2132338556","https://openalex.org/W2134965109","https://openalex.org/W2141226130","https://openalex.org/W2142454242","https://openalex.org/W2144301074","https://openalex.org/W2147139953","https://openalex.org/W2148301044","https://openalex.org/W2148968089","https://openalex.org/W2150221106","https://openalex.org/W2159650706","https://openalex.org/W2160619907","https://openalex.org/W2160818605","https://openalex.org/W2160966437","https://openalex.org/W2279117060","https://openalex.org/W2521704341","https://openalex.org/W2528985464","https://openalex.org/W4234080710"],"related_works":["https://openalex.org/W1993787326","https://openalex.org/W4292381838","https://openalex.org/W3118972450","https://openalex.org/W3095321867","https://openalex.org/W2597561136","https://openalex.org/W2944513741","https://openalex.org/W2290608560","https://openalex.org/W4413043976","https://openalex.org/W4404437659","https://openalex.org/W4232028411"],"abstract_inverted_index":{"The":[0,183],"development":[1],"of":[2,8,25,42,58,130,171,190,200,222,235],"a":[3,34,123,168,194],"vaccine":[4,121,135],"against":[5],"some":[6,24],"strains":[7],"the":[9,29,40,54,87,91,97,106,114,120,128,134,146,150,157,177,188,198,233,236,254],"human":[10],"papillomavirus":[11],"(HPV)":[12],"has":[13,193],"led":[14],"to":[15,48,104,112,142,153,155,167,173,180,209,250],"many":[16],"interesting":[17],"public":[18],"health":[19],"questions":[20,27],"[1].":[21],"We":[22,32,63,69,89,100,125,148,159,203,225,238],"address":[23],"these":[26],"in":[28],"following":[30],"work.":[31],"develop":[33],"compartmental":[35],"mathematical":[36],"model":[37,84,185],"and":[38,53,73,78,81,85,108,212],"examine":[39],"effect":[41],"waning":[43,229],"immunity,":[44],"vaccinating":[45,59],"individuals":[46,172],"prior":[47],"their":[49],"becoming":[50],"sexually":[51],"active":[52],"current":[55,217],"government":[56,218,241],"policy":[57,219,242],"only":[60],"females":[61,191,201],"[2].":[62,224],"calculate":[64],"parameters":[65],"based":[66],"on":[67,197],"data.":[68],"consider":[70],"both":[71,105],"time-dependent":[72,82,98,107],"age":[74,221],"dependent":[75],"ODE":[76,110],"models":[77,111],"an":[79],"age-":[80],"PDE":[83,184],"compare":[86],"results.":[88],"find":[90,126,149],"\u201ceffective\u201d":[92],"R0":[93],"value,":[94],"Re0,":[95],"for":[96,118,220,243],"models.":[99],"introduce":[101],"optimal":[102],"control":[103],"age-dependent":[109],"assess":[113],"most":[115,251],"cost-effective":[116,208],"method":[117],"introducing":[119,162],"into":[122],"population.":[124,147],"that":[127,161,187,205,227],"duration":[129],"protection":[131],"offered":[132],"by":[133],"can":[136],"influence":[137],"whether":[138],"it":[139,206],"is":[140,179,207],"possible":[141],"eradicate":[143,156,253],"infection":[144],"from":[145],"critical":[151],"proportion":[152,170,189,199],"vaccinate":[154,210],"disease.":[158,255],"see":[160],"male":[163,248],"vaccination":[164,223,244,249],"would":[165],"lead":[166],"greater":[169],"be":[174,181],"vaccinated":[175,192],"if":[176],"disease":[178],"eradicated.":[182],"shows":[186],"large":[195],"impact":[196,232],"infected.":[202],"show":[204],"males":[211],"females.":[213],"Our":[214],"results":[215],"support":[216,240],"conclude":[226],"potential":[228],"immunity":[230],"will":[231],"success":[234],"vaccine.":[237],"broadly":[239],"but":[245],"recommend":[246],"including":[247],"cost-effectively":[252]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2016-06-24T00:00:00"}
