{"id":"https://openalex.org/W4409422834","doi":"https://doi.org/10.1016/j.aml.2025.109575","title":"Stationary distribution and extinction of a stochastic HIV/AIDS model with screened disease carriers, standard incidence rate and Ornstein\u2013Uhlenbeck process","display_name":"Stationary distribution and extinction of a stochastic HIV/AIDS model with screened disease carriers, standard incidence rate and Ornstein\u2013Uhlenbeck process","publication_year":2025,"publication_date":"2025-04-14","ids":{"openalex":"https://openalex.org/W4409422834","doi":"https://doi.org/10.1016/j.aml.2025.109575"},"language":"en","primary_location":{"id":"doi:10.1016/j.aml.2025.109575","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aml.2025.109575","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.aml.2025.109575","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100636654","display_name":"Wenjie Zuo","orcid":"https://orcid.org/0000-0002-2914-6594"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenjie Zuo","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao 266580, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2914-6594","affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao 266580, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111064432","display_name":"Shengnan Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengnan Jiang","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao 266580, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao 266580, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100636654"],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":{"value":3540,"currency":"USD","value_usd":3540},"fwci":2.7107,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88525104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"168","issue":null,"first_page":"109575","last_page":"109575"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7930009365081787},{"id":"https://openalex.org/keywords/ornstein\u2013uhlenbeck-process","display_name":"Ornstein\u2013Uhlenbeck process","score":0.7540822625160217},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.6339672207832336},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.5465824007987976},{"id":"https://openalex.org/keywords/incidence","display_name":"Incidence (geometry)","score":0.5132248401641846},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.48826074600219727},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.48324403166770935},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.42660221457481384},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.41034942865371704},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.3648204505443573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3538705110549927},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3527095913887024},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32172298431396484},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.23144692182540894},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20633560419082642},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1977427899837494},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.17885223031044006},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.11551803350448608},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.10440021753311157}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7930009365081787},{"id":"https://openalex.org/C31634936","wikidata":"https://www.wikidata.org/wiki/Q1757587","display_name":"Ornstein\u2013Uhlenbeck process","level":3,"score":0.7540822625160217},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.6339672207832336},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.5465824007987976},{"id":"https://openalex.org/C61511704","wikidata":"https://www.wikidata.org/wiki/Q1671857","display_name":"Incidence (geometry)","level":2,"score":0.5132248401641846},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.48826074600219727},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.48324403166770935},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.42660221457481384},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.41034942865371704},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3648204505443573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3538705110549927},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3527095913887024},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32172298431396484},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.23144692182540894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20633560419082642},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1977427899837494},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.17885223031044006},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.11551803350448608},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10440021753311157},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.aml.2025.109575","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aml.2025.109575","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.aml.2025.109575","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aml.2025.109575","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.7799999713897705}],"awards":[{"id":"https://openalex.org/G520384495","display_name":null,"funder_award_id":"ZR2023MA021","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5628480205","display_name":null,"funder_award_id":"12371160","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2059655508","https://openalex.org/W2079184994","https://openalex.org/W2112383442","https://openalex.org/W4385754146","https://openalex.org/W4388507668","https://openalex.org/W4400210684"],"related_works":["https://openalex.org/W4205411904","https://openalex.org/W3021532444","https://openalex.org/W4234645615","https://openalex.org/W4366088262","https://openalex.org/W4397013244","https://openalex.org/W2072356535","https://openalex.org/W3090783472","https://openalex.org/W4391959027","https://openalex.org/W1969906963","https://openalex.org/W4395674601"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,30,42],"stochastic":[4],"HIV/AIDS":[5],"model":[6],"that":[7],"includes":[8],"screening":[9],"for":[10,52],"virus":[11],"carriers":[12],"and":[13,65],"infected":[14],"individuals":[15],"actively":[16],"seeking":[17],"treatment,":[18],"with":[19],"the":[20,39,53,56],"average":[21],"number":[22],"of":[23,41,55],"sexual":[24],"partners":[25],"k":[26],"\u0304":[27],"controlled":[28],"by":[29],"log-normal":[31],"Ornstein\u2013Uhlenbeck":[32],"process.":[33],"By":[34],"constructing":[35],"appropriate":[36],"Lyapunov":[37],"functions,":[38],"existence":[40],"stationary":[43],"distribution":[44],"is":[45],"obtained.":[46],"Additionally,":[47],"we":[48],"establish":[49],"sufficient":[50],"condition":[51],"extinction":[54],"diseases,":[57],"thereby":[58],"offering":[59],"valuable":[60],"insights":[61],"into":[62],"AIDS":[63],"control":[64],"policy":[66],"decisions.":[67]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
