{"id":"https://openalex.org/W2154697268","doi":"https://doi.org/10.1142/s021833900700212x","title":"A SIMPLE SI MODEL WITH TWO AGE GROUPS AND ITS APPLICATION TO US HIV EPIDEMICS: TO TREAT OR NOT TO TREAT?","display_name":"A SIMPLE SI MODEL WITH TWO AGE GROUPS AND ITS APPLICATION TO US HIV EPIDEMICS: TO TREAT OR NOT TO TREAT?","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2154697268","doi":"https://doi.org/10.1142/s021833900700212x","mag":"2154697268"},"language":"en","primary_location":{"id":"doi:10.1142/s021833900700212x","doi":"https://doi.org/10.1142/s021833900700212x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021833900700212x","pdf_url":null,"source":{"id":"https://openalex.org/S39425270","display_name":"Journal of Biological Systems","issn_l":"0218-3390","issn":["0218-3390","1793-6470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","doyens","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biological Systems","raw_type":"journal-article"},"volume":null,"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/A5043977951","display_name":"Roxana L\u00f3pez-Cruz","orcid":"https://orcid.org/0000-0002-7703-5784","observed_orcids":["https://orcid.org/0000-0002-7703-5784"]},"institutions":[{"id":"https://openalex.org/I192513696","display_name":"National University of San Marcos","ror":"https://ror.org/006vs7897","country_code":"PE","type":"education","lineage":["https://openalex.org/I192513696"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"ROXANA L\u00d3PEZ","raw_affiliation_strings":["Department of Mathematics, Universidad Nacional Mayor de San Marcos, Lima, Lima 1, Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidad Nacional Mayor de San Marcos, Lima, Lima 1, Peru","institution_ids":["https://openalex.org/I192513696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090207401","display_name":"Yang Kuang","orcid":"https://orcid.org/0000-0003-2774-4133","observed_orcids":["https://orcid.org/0000-0003-2774-4133"]},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"YANG KUANG","raw_affiliation_strings":["Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012925571","display_name":"Abdessamad Tridane","orcid":"https://orcid.org/0000-0001-8471-7807","observed_orcids":["https://orcid.org/0000-0001-8471-7807"]},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"ABDESSAMAD TRIDANE","raw_affiliation_strings":["Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090207401"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.23027482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"15","issue":"02","first_page":"169","last_page":"184"},"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/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"}},{"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hiv-aids-epidemic","display_name":"HIV/AIDS epidemic","score":0.8539999723434448},{"id":"https://openalex.org/keywords/si-model","display_name":"SI model","score":0.6899999976158142},{"id":"https://openalex.org/keywords/age-structured-epidemic-model","display_name":"age-structured epidemic model","score":0.8960000276565552},{"id":"https://openalex.org/keywords/hiv-treatment","display_name":"HIV treatment","score":0.6650000214576721},{"id":"https://openalex.org/keywords/hiv-transmission","display_name":"HIV transmission","score":0.38100001215934753}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6117297410964966},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5976546406745911},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.5844798684120178},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.5766767859458923},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.5710198879241943},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5635834336280823},{"id":"https://openalex.org/C2778496695","wikidata":"https://www.wikidata.org/wiki/Q254128","display_name":"Dilemma","level":2,"score":0.5312551856040955},{"id":"https://openalex.org/C2780573756","wikidata":"https://www.wikidata.org/wiki/Q977433","display_name":"Wonder","level":2,"score":0.5006933212280273},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.44580942392349243},{"id":"https://openalex.org/C136815107","wikidata":"https://www.wikidata.org/wiki/Q154242","display_name":"Nothing","level":2,"score":0.42759066820144653},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.4174806773662567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3017030954360962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28923070430755615},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.21791037917137146},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.14827975630760193},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s021833900700212x","doi":"https://doi.org/10.1142/s021833900700212x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021833900700212x","pdf_url":null,"source":{"id":"https://openalex.org/S39425270","display_name":"Journal of Biological Systems","issn_l":"0218-3390","issn":["0218-3390","1793-6470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","doyens","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biological Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.3690","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.3690","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.la.asu.edu/~kuang/paper/Lopez.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.98580002784729,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1511286968","https://openalex.org/W1981337680","https://openalex.org/W1983989607","https://openalex.org/W1996970583","https://openalex.org/W2002944058","https://openalex.org/W2034329979","https://openalex.org/W2046653246","https://openalex.org/W2059655508","https://openalex.org/W2061252283","https://openalex.org/W2108615753","https://openalex.org/W2109655671","https://openalex.org/W2135617989","https://openalex.org/W2148301044","https://openalex.org/W2186269493","https://openalex.org/W2320876584","https://openalex.org/W2474031850"],"related_works":["https://openalex.org/W2003587467","https://openalex.org/W2121322618","https://openalex.org/W2744922139","https://openalex.org/W2590787140","https://openalex.org/W3130701286","https://openalex.org/W7097761878","https://openalex.org/W2155064299","https://openalex.org/W4413474021","https://openalex.org/W2034999925","https://openalex.org/W4318427083"],"abstract_inverted_index":{"The":[0,121],"objective":[1],"of":[2,11,76,163,174],"this":[3],"paper":[4],"is":[5,105,123,156],"to":[6,25,37,44,52,93,158,166,191,195],"study":[7],"the":[8,23,26,30,39,58,74,82,102,128,132,142,160,172,181],"global":[9],"dynamics":[10,28,43],"a":[12,189],"simple":[13],"SI":[14],"model":[15,122],"with":[16,125],"two":[17],"explicit":[18],"age":[19],"groups":[20],"and":[21,60,86,97,118],"apply":[22],"findings":[24],"HIV":[27,42,77,129],"in":[29,131,149,180],"United":[31],"States.":[32],"Specifically,":[33],"we":[34,98],"would":[35],"like":[36],"explore":[38],"long":[40],"term":[41],"answer":[45],"questions":[46],"such":[47],"as":[48],"what":[49],"will":[50,71],"happen":[51],"human":[53],"population":[54,83,145],"level":[55],"if":[56,68,139,154],"all":[57],"demographical":[59],"epidemiological":[61],"parameters":[62,126],"stay":[63],"constant.":[64,106],"We":[65,80,107],"also":[66,108],"wonder":[67],"treatment":[69,155],"alone":[70],"actually":[72,178],"slow":[73],"spread":[75],"or":[78,169,185,193],"not.":[79],"divide":[81],"into":[84],"juvenile":[85],"adult":[87],"groups.":[88],"Only":[89],"adults":[90,112,176],"are":[91],"assumed":[92],"be":[94,147],"sexually":[95],"active":[96],"implicitly":[99],"assume":[100,109],"that":[101,110],"sex":[103],"ratio":[104],"infected":[111,119,144,164,175],"may":[113,146,177],"produce":[114],"both":[115],"susceptible":[116],"newborns":[117],"newborns.":[120],"fit":[124],"from":[127],"epidemic":[130],"US.":[133],"It":[134],"produces":[135],"an":[136],"optimistic":[137],"outcome:":[138],"nothing":[140],"changes,":[141],"USA":[143],"halved":[148],"about":[150],"20":[151,183],"years.":[152],"However,":[153],"found":[157],"extend":[159],"life":[161],"expectance":[162],"individuals":[165],"30":[167],"years":[168,184],"more,":[170],"then":[171],"number":[173],"increase":[179],"next":[182],"so.":[186],"This":[187],"creates":[188],"dilemma:":[190],"treat":[192],"not":[194],"treat?":[196]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2016-06-24T00:00:00"}