{"id":"https://openalex.org/W2030142085","doi":"https://doi.org/10.1137/0153068","title":"How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?","display_name":"How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?","publication_year":1993,"publication_date":"1993-10-01","ids":{"openalex":"https://openalex.org/W2030142085","doi":"https://doi.org/10.1137/0153068","mag":"2030142085"},"language":"en","primary_location":{"id":"doi:10.1137/0153068","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153068","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005719484","display_name":"Horst R. Thieme","orcid":"https://orcid.org/0000-0001-5317-5179"},"institutions":[{"id":"https://openalex.org/I4210152479","display_name":"Statistical Service","ror":"https://ror.org/05vydvf11","country_code":"CY","type":"government","lineage":["https://openalex.org/I4210152479"]}],"countries":["CY"],"is_corresponding":true,"raw_author_name":"Horst R. Thieme","raw_affiliation_strings":["CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)"],"affiliations":[{"raw_affiliation_string":"CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)","institution_ids":["https://openalex.org/I4210152479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068525348","display_name":"Carlos Castillo\u2010Ch\u00e1vez","orcid":"https://orcid.org/0000-0002-1046-3901"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carlos Castillo-Chavez","raw_affiliation_strings":["Biometrics Unit, Center for Appl. Math., and Population and Development Program Cornell University Ithaca, NY 14853-7801"],"affiliations":[{"raw_affiliation_string":"Biometrics Unit, Center for Appl. Math., and Population and Development Program Cornell University Ithaca, NY 14853-7801","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005719484"],"corresponding_institution_ids":["https://openalex.org/I4210152479"],"apc_list":null,"apc_paid":null,"fwci":6.4784,"has_fulltext":false,"cited_by_count":237,"citation_normalized_percentile":{"value":0.96401651,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"53","issue":"5","first_page":"1447","last_page":"1479"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9815000295639038,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/infectivity","display_name":"Infectivity","score":0.9099502563476562},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6712841391563416},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5670257806777954},{"id":"https://openalex.org/keywords/incubation-period","display_name":"Incubation period","score":0.5216907858848572},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.4478680193424225},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4331378638744354},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.4170182943344116},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3930794298648834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3380090594291687},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.3365614414215088},{"id":"https://openalex.org/keywords/incubation","display_name":"Incubation","score":0.30736494064331055},{"id":"https://openalex.org/keywords/virus","display_name":"Virus","score":0.17739605903625488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12247294187545776},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10858505964279175}],"concepts":[{"id":"https://openalex.org/C106358424","wikidata":"https://www.wikidata.org/wiki/Q1662346","display_name":"Infectivity","level":3,"score":0.9099502563476562},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6712841391563416},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5670257806777954},{"id":"https://openalex.org/C143701427","wikidata":"https://www.wikidata.org/wiki/Q193566","display_name":"Incubation period","level":3,"score":0.5216907858848572},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.4478680193424225},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4331378638744354},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.4170182943344116},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3930794298648834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3380090594291687},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.3365614414215088},{"id":"https://openalex.org/C25642318","wikidata":"https://www.wikidata.org/wiki/Q1992532","display_name":"Incubation","level":2,"score":0.30736494064331055},{"id":"https://openalex.org/C2522874641","wikidata":"https://www.wikidata.org/wiki/Q808","display_name":"Virus","level":2,"score":0.17739605903625488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12247294187545776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10858505964279175},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/0153068","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153068","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ecommons.cornell.edu:1813/31676","is_oa":false,"landing_page_url":"https://hdl.handle.net/1813/31676","pdf_url":null,"source":{"id":"https://openalex.org/S4306400757","display_name":"eCommons (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"periodical"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8500000238418579,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306114","display_name":"U.S. Department of Agriculture","ror":"https://ror.org/01na82s61"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":86,"referenced_works":["https://openalex.org/W43739745","https://openalex.org/W60586040","https://openalex.org/W88920456","https://openalex.org/W94724930","https://openalex.org/W128431475","https://openalex.org/W149122961","https://openalex.org/W205471801","https://openalex.org/W230148270","https://openalex.org/W248196746","https://openalex.org/W254358834","https://openalex.org/W335902985","https://openalex.org/W625396986","https://openalex.org/W641302388","https://openalex.org/W1482486111","https://openalex.org/W1496693558","https://openalex.org/W1510542905","https://openalex.org/W1516737219","https://openalex.org/W1519611344","https://openalex.org/W1531629318","https://openalex.org/W1553153472","https://openalex.org/W1575154287","https://openalex.org/W1837867392","https://openalex.org/W1970054015","https://openalex.org/W1972729931","https://openalex.org/W1975403569","https://openalex.org/W1977509779","https://openalex.org/W1982075903","https://openalex.org/W1982306896","https://openalex.org/W1982802844","https://openalex.org/W1986142163","https://openalex.org/W1987881677","https://openalex.org/W1988236284","https://openalex.org/W1989073542","https://openalex.org/W1993675356","https://openalex.org/W1995608339","https://openalex.org/W1996002601","https://openalex.org/W1998787970","https://openalex.org/W2005173622","https://openalex.org/W2005467593","https://openalex.org/W2016804185","https://openalex.org/W2022126713","https://openalex.org/W2022774266","https://openalex.org/W2022821112","https://openalex.org/W2023795026","https://openalex.org/W2026410283","https://openalex.org/W2037994853","https://openalex.org/W2039133023","https://openalex.org/W2039395299","https://openalex.org/W2041902182","https://openalex.org/W2045950514","https://openalex.org/W2051515879","https://openalex.org/W2053153821","https://openalex.org/W2053349531","https://openalex.org/W2054889970","https://openalex.org/W2060915332","https://openalex.org/W2061738077","https://openalex.org/W2064510897","https://openalex.org/W2065644774","https://openalex.org/W2075489080","https://openalex.org/W2082188044","https://openalex.org/W2083321256","https://openalex.org/W2085954685","https://openalex.org/W2087150573","https://openalex.org/W2087735159","https://openalex.org/W2104746796","https://openalex.org/W2110891892","https://openalex.org/W2119018431","https://openalex.org/W2119897559","https://openalex.org/W2123261528","https://openalex.org/W2140008350","https://openalex.org/W2144301074","https://openalex.org/W2148301044","https://openalex.org/W2152386130","https://openalex.org/W2153399977","https://openalex.org/W2169082384","https://openalex.org/W2323192031","https://openalex.org/W2338397267","https://openalex.org/W2339678529","https://openalex.org/W2486235895","https://openalex.org/W2488649913","https://openalex.org/W2502051805","https://openalex.org/W2566251030","https://openalex.org/W4230659860","https://openalex.org/W4237036802","https://openalex.org/W4251579377","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1980435337","https://openalex.org/W3114965951","https://openalex.org/W4281258317","https://openalex.org/W2123874048","https://openalex.org/W2110818245","https://openalex.org/W4390014483","https://openalex.org/W2416749769","https://openalex.org/W2902637218","https://openalex.org/W2160875138","https://openalex.org/W2319568538"],"abstract_inverted_index":{"Epidemiological":[0],"and":[1,12,19,25,46,98,108,130,152,186,217],"behavioral":[2],"factors":[3],"crucial":[4],"to":[5,157,174],"the":[6,20,29,39,50,58,71,91,109,112,133,146,150,153,171,192,202,212],"dynamics":[7,52,72],"of":[8,15,22,28,41,44,53,60,73,85,111,201,221,231],"HIV/AIDS":[9],"include":[10],"long":[11,42],"variable":[13,17,61,67,193],"periods":[14,43],"infectiousness,":[16],"infectivity,":[18],"processes":[21],"pair":[23],"formation":[24],"dissolution.":[26],"Most":[27],"recent":[30],"mathematical":[31],"work":[32],"on":[33,38],"AIDS":[34],"models":[35],"has":[36,94],"concentrated":[37,197],"effects":[40],"incubation":[45,68,203],"heterogeneous":[47],"mixing":[48,79],"in":[49,63,70,76,149,184,189,224],"transmission":[51,75],"HIV.":[54],"This":[55],"paper":[56],"explores":[57],"role":[59],"infectivity":[62,194,222],"combination":[64],"with":[65],"a":[66,77,100,125,161,229],"period":[69],"HIV":[74],"homogeneously":[78],"population.":[80],"The":[81,122],"authors":[82,123],"keep":[83],"track":[84],"an":[86],"individual's":[87],"infection-age,":[88],"that":[89,93,116,132],"is,":[90],"time":[92],"passed":[95],"since":[96],"infection,":[97],"assume":[99],"nonlinear":[101],"functional":[102],"relationship":[103],"between":[104],"mean":[105],"sexual":[106],"activity":[107],"size":[110],"sexually":[113],"active":[114],"population":[115,120],"saturates":[117],"at":[118,198],"high":[119],"sizes.":[121],"identify":[124],"basic":[126],"reproductive":[127],"number":[128],"Ro":[129],"show":[131],"disease":[134,147],"dies":[135],"out":[136],"if":[137,142,191],"$R_0":[138,143],"<":[139],"1$,":[140],"whereas":[141],">":[144],"1$":[145],"persists":[148],"population,":[151],"incidence":[154],"rate":[155],"converges":[156],"or":[158],"oscillates":[159],"around":[160],"uniquely":[162],"determined":[163],"nontrivial":[164],"equilibrium.":[165],"Though":[166],"conditions":[167],"are":[168],"found":[169],"for":[170,211],"endemic":[172],"equilibrium":[173],"be":[175,182,228],"locally":[176],"asymptotically":[177],"stable,":[178],"undamped":[179,206],"oscillations":[180,207],"cannot":[181],"excluded":[183],"general":[185],"may":[187],"occur":[188,210],"particular":[190],"is":[195],"highly":[196],"certain":[199],"parts":[200],"period.":[204],"Whether":[205],"can":[208],"also":[209],"reported":[213],"one":[214,218],"early":[215],"peak":[216],"late":[219],"plateau":[220],"observed":[223],"HIV-infected":[225],"individuals":[226],"must":[227],"subject":[230],"future":[232],"numerical":[233],"investigations.":[234]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
