{"id":"https://openalex.org/W2334551703","doi":"https://doi.org/10.1051/mmnp/20149212","title":"Corrigendum to \"A Generating Function Approach to HIV Transmission with Dynamic Contact Rates\"","display_name":"Corrigendum to \"A Generating Function Approach to HIV Transmission with Dynamic Contact Rates\"","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2334551703","doi":"https://doi.org/10.1051/mmnp/20149212","mag":"2334551703"},"language":"en","primary_location":{"id":"doi:10.1051/mmnp/20149212","doi":"https://doi.org/10.1051/mmnp/20149212","is_oa":true,"landing_page_url":"https://doi.org/10.1051/mmnp/20149212","pdf_url":"https://www.mmnp-journal.org/articles/mmnp/pdf/2014/02/mmnp201492p178.pdf","source":{"id":"https://openalex.org/S15090102","display_name":"Mathematical Modelling of Natural Phenomena","issn_l":"0973-5348","issn":["0973-5348","1760-6101"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Modelling of Natural Phenomena","raw_type":"journal-article"},"volume":null,"type":"erratum","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.mmnp-journal.org/articles/mmnp/pdf/2014/02/mmnp201492p178.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081272194","display_name":"Ethan Obie Romero-Severson","orcid":"https://orcid.org/0000-0002-8082-1225","observed_orcids":["https://orcid.org/0000-0002-8082-1225"]},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E.O. Romero-Severson","raw_affiliation_strings":["Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, NM"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, NM","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055825395","display_name":"Grant David Meadors","orcid":"https://orcid.org/0000-0001-7718-0407","observed_orcids":["https://orcid.org/0000-0001-7718-0407"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G.D. Meadors","raw_affiliation_strings":["Department of Physics, University of Michigan, Ann Arbor, MI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Michigan, Ann Arbor, MI","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058253520","display_name":"Erik Volz","orcid":"https://orcid.org/0000-0001-6268-8937","observed_orcids":["https://orcid.org/0000-0001-6268-8937"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E.M. Volz","raw_affiliation_strings":["Department of Epidemiology, University of Michigan, Ann Arbor, MI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Epidemiology, University of Michigan, Ann Arbor, MI","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"EUR","value_usd":0},"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"2","first_page":"178","last_page":"181"},"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":1.0,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"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":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T10082","display_name":"HIV/AIDS Research and Interventions","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hiv-transmission","display_name":"HIV transmission","score":0.9990000128746033},{"id":"https://openalex.org/keywords/generating-functions","display_name":"generating functions","score":0.7149999737739563},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.949999988079071},{"id":"https://openalex.org/keywords/sexual-transmission","display_name":"sexual transmission","score":0.38199999928474426},{"id":"https://openalex.org/keywords/infection-stage","display_name":"infection stage","score":0.40799999237060547},{"id":"https://openalex.org/keywords/epidemic-threshold","display_name":"epidemic threshold","score":0.40700000524520874}],"concepts":[{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5783653855323792},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.5474827289581299},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5356789231300354},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.36182069778442383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33227086067199707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3260119557380676},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32374101877212524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32072097063064575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26387181878089905},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.24322566390037537},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.21503537893295288},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.1525314450263977},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08475854992866516}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/mmnp/20149212","doi":"https://doi.org/10.1051/mmnp/20149212","is_oa":true,"landing_page_url":"https://doi.org/10.1051/mmnp/20149212","pdf_url":"https://www.mmnp-journal.org/articles/mmnp/pdf/2014/02/mmnp201492p178.pdf","source":{"id":"https://openalex.org/S15090102","display_name":"Mathematical Modelling of Natural Phenomena","issn_l":"0973-5348","issn":["0973-5348","1760-6101"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Modelling of Natural Phenomena","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/mmnp/20149212","doi":null,"is_oa":false,"landing_page_url":"https://www.mmnp-journal.org/10.1051/mmnp/20149212/pdf","pdf_url":"https://www.mmnp-journal.org/10.1051/mmnp/20149212/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/mmnp/20149212","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/mmnp/20149212","doi":"https://doi.org/10.1051/mmnp/20149212","is_oa":true,"landing_page_url":"https://doi.org/10.1051/mmnp/20149212","pdf_url":"https://www.mmnp-journal.org/articles/mmnp/pdf/2014/02/mmnp201492p178.pdf","source":{"id":"https://openalex.org/S15090102","display_name":"Mathematical Modelling of Natural Phenomena","issn_l":"0973-5348","issn":["0973-5348","1760-6101"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Modelling of Natural Phenomena","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.7246000170707703,"display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2334551703.pdf","grobid_xml":"https://content.openalex.org/works/W2334551703.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2013600043","https://openalex.org/W7100950677","https://openalex.org/W2170607453","https://openalex.org/W1980940792","https://openalex.org/W2523428190","https://openalex.org/W2051469503","https://openalex.org/W7097601051","https://openalex.org/W4230866659","https://openalex.org/W4250722052","https://openalex.org/W2069305257"],"abstract_inverted_index":{"CorrectionsWe":[0],"found":[1],"a":[2,16,165],"few":[3],"issues":[4],"in":[5,167],"our":[6,28,63],"original":[7,169],"paper":[8],"that":[9,51,62,66,76,91,114,124],"require":[10],"correction.First,":[11],"we":[12,31,112],"did":[13,58,157],"not":[14,53,59,158],"state":[15,61,160],"basic":[17],"assumption":[18,70],"used":[19],"to":[20,36,55,82,142,151],"derive":[21],"an":[22,95,125],"expression":[23,170,185],"for":[24,38,88,131,171,186],"R":[25,172,187],"*":[26,173,188],".In":[27],"infection":[29,106,119],"model":[30],"included":[32],"the":[33,39,45,74,92,102,115,135,143,168,175],"term":[34],"\u03c9":[35,67,87,153],"account":[37],"rate":[40],"of":[41,48,94,105,118,137],"'natural":[42],"removal'":[43],"from":[44],"population":[46],"(i.e.cessation":[47],"sexual":[49],"activity":[50],"is":[52,79,107,128,146,164,189],"related":[54],"HIV-specific":[56],"mortality).We":[57],"clearly":[60,159],"derivations":[64],"assume":[65,113,152],"=":[68,154],"0.This":[69],"was":[71],"justified":[72],"by":[73],"fact":[75],"\u03b4":[77],"1":[78,178],"always":[80],"going":[81],"be":[83],"much":[84],"larger":[85],"than":[86,148],"HIV":[89],"such":[90],"probability":[93,136],"infected":[96],"case":[97],"being":[98,138],"removed":[99,139],"before":[100,140],"reaching":[101],"second":[103,144],"stage":[104,117,145],"very":[108],"small.For":[109],"example,":[110],"if":[111],"acute":[116],"lasts":[120],"2":[121,181],"months":[122],"and":[123,179],"average":[126],"person":[127],"sexually":[129],"active":[130],"30":[132],"years,":[133],"then":[134],"progressing":[141],"less":[147],"0.005.We":[149],"chose":[150],"0":[155],"but":[156],"this":[161],"assumption.Second,":[162],"there":[163],"typo":[166],"where":[174],"terms":[176],"\u03b2":[177,180],"were":[182],"omitted.The":[183],"correct":[184]},"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-06-24T00:00:00"}