{"id":"https://openalex.org/W7221069562","doi":"https://doi.org/10.3934/era.2026360","title":"Stochastic dynamics and treatment strategies of an HIV infection model with quiescent cells, CTLs and antibody immune responses","display_name":"Stochastic dynamics and treatment strategies of an HIV infection model with quiescent cells, CTLs and antibody immune responses","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7221069562","doi":"https://doi.org/10.3934/era.2026360"},"language":"en","primary_location":{"id":"doi:10.3934/era.2026360","doi":"https://doi.org/10.3934/era.2026360","is_oa":true,"landing_page_url":"https://doi.org/10.3934/era.2026360","pdf_url":"http://www.aimspress.com/aimspress-data/era/2026/11/PDF/era-34-11-360.pdf","source":{"id":"https://openalex.org/S4210240239","display_name":"Electronic Research Archive","issn_l":"2688-1594","issn":["2688-1594"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Research Archive","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7221069562"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://www.aimspress.com/aimspress-data/era/2026/11/PDF/era-34-11-360.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102938305","display_name":"Linyu Zuo","orcid":"https://orcid.org/0000-0003-0477-0304","observed_orcids":["https://orcid.org/0000-0003-0477-0304"]},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linyu Zuo","raw_affiliation_strings":["School of Mathematics and Statistics , Xinyang Normal University , Xinyang 464000 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Xinyang Normal University , Xinyang 464000 , China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071883600","display_name":"\u5468\u5b66\u52c7","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueyong Zhou","raw_affiliation_strings":["School of Mathematics and Statistics , Xinyang Normal University , Xinyang 464000 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Xinyang Normal University , Xinyang 464000 , China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5158093693","display_name":"Xiangyun Shi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyun Shi","raw_affiliation_strings":["School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China","institution_ids":["https://openalex.org/I130750295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130750295"],"apc_list":{"value":1000,"currency":"USD","value_usd":1000},"apc_paid":{"value":1000,"currency":"USD","value_usd":1000},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"11","first_page":"8315","last_page":"8352"},"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":0.9990000128746033,"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":0.9990000128746033,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.00039999998989515007,"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/T10112","display_name":"HIV Research and Treatment","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2406","display_name":"Virology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hiv-infection-model","display_name":"HIV infection model","score":0.8840000033378601},{"id":"https://openalex.org/keywords/stochastic-dynamics","display_name":"stochastic dynamics","score":0.6430000066757202},{"id":"https://openalex.org/keywords/cellular-quiescence","display_name":"quiescent cells","score":0.9210000038146973},{"id":"https://openalex.org/keywords/cytotoxic-t-lymphocytes","display_name":"cytotoxic T lymphocytes","score":0.9779999852180481},{"id":"https://openalex.org/keywords/antibody-response","display_name":"antibody response","score":0.9869999885559082},{"id":"https://openalex.org/keywords/global-positive-solution","display_name":"global positive solution","score":0.9020000100135803},{"id":"https://openalex.org/keywords/ergodic-stationary-distribution","display_name":"ergodic stationary distribution","score":0.9829999804496765},{"id":"https://openalex.org/keywords/stochastic-lyapunov-function","display_name":"stochastic Lyapunov function","score":0.8889999985694885},{"id":"https://openalex.org/keywords/virus-removal","display_name":"virus removal","score":0.9480000138282776},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.9210000038146973},{"id":"https://openalex.org/keywords/antiviral-treatment-strategies","display_name":"antiviral treatment strategies","score":0.9369999766349792},{"id":"https://openalex.org/keywords/cost-effectiveness-analysis","display_name":"cost-effectiveness analysis","score":0.7689999938011169},{"id":"https://openalex.org/keywords/parameter-sensitivity-analysis","display_name":"parameter sensitivity analysis","score":0.765999972820282}],"concepts":[{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.5774999856948853},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.5636000037193298},{"id":"https://openalex.org/C8891405","wikidata":"https://www.wikidata.org/wiki/Q1059","display_name":"Immune system","level":2,"score":0.527999997138977},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4749000072479248},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.46560001373291016},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.41830000281333923},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.4058000147342682},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.40139999985694885},{"id":"https://openalex.org/C159654299","wikidata":"https://www.wikidata.org/wiki/Q79460","display_name":"Antibody","level":2,"score":0.3937999904155731},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.364300012588501},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.35339999198913574},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3416999876499176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34060001373291016},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.33970001339912415},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3384999930858612},{"id":"https://openalex.org/C2522874641","wikidata":"https://www.wikidata.org/wiki/Q808","display_name":"Virus","level":2,"score":0.3285999894142151},{"id":"https://openalex.org/C154317977","wikidata":"https://www.wikidata.org/wiki/Q376266","display_name":"Cytotoxic T cell","level":3,"score":0.3237000107765198},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.31369999051094055},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29980000853538513},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2928999960422516},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C2984125019","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic dynamics","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C2780648854","wikidata":"https://www.wikidata.org/wiki/Q2745824","display_name":"Immunopathology","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.2567000091075897}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/era.2026360","doi":"https://doi.org/10.3934/era.2026360","is_oa":true,"landing_page_url":"https://doi.org/10.3934/era.2026360","pdf_url":"http://www.aimspress.com/aimspress-data/era/2026/11/PDF/era-34-11-360.pdf","source":{"id":"https://openalex.org/S4210240239","display_name":"Electronic Research Archive","issn_l":"2688-1594","issn":["2688-1594"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Research Archive","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/era.2026360","doi":"https://doi.org/10.3934/era.2026360","is_oa":true,"landing_page_url":"https://doi.org/10.3934/era.2026360","pdf_url":"http://www.aimspress.com/aimspress-data/era/2026/11/PDF/era-34-11-360.pdf","source":{"id":"https://openalex.org/S4210240239","display_name":"Electronic Research Archive","issn_l":"2688-1594","issn":["2688-1594"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Research Archive","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.9391000270843506,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221069562.pdf","grobid_xml":"https://content.openalex.org/works/W7221069562.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1964154533","https://openalex.org/W2009420628","https://openalex.org/W2016480766","https://openalex.org/W2037013975","https://openalex.org/W2046612861","https://openalex.org/W2056670922","https://openalex.org/W2087004443","https://openalex.org/W2138038878","https://openalex.org/W2145137020","https://openalex.org/W2160989230","https://openalex.org/W2175216263","https://openalex.org/W2569946010","https://openalex.org/W2578148890","https://openalex.org/W2971844113","https://openalex.org/W2973050819","https://openalex.org/W2976153549","https://openalex.org/W3040803474","https://openalex.org/W3098984539","https://openalex.org/W3156325092","https://openalex.org/W4235816940","https://openalex.org/W4386011902","https://openalex.org/W4386421969","https://openalex.org/W4396768351","https://openalex.org/W4401866464","https://openalex.org/W4404891514","https://openalex.org/W4411681069","https://openalex.org/W7123945018","https://openalex.org/W7167841895"],"related_works":["https://openalex.org/W4402452348","https://openalex.org/W7123945018","https://openalex.org/W2884902981","https://openalex.org/W2745923861","https://openalex.org/W7171678809","https://openalex.org/W4390231930","https://openalex.org/W2811454343","https://openalex.org/W2033187967","https://openalex.org/W3191348697","https://openalex.org/W4324062679"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,89],"stochastic":[4,63,139,158],"human":[5],"immunodeficiency":[6],"virus":[7,71],"(HIV)":[8],"infection":[9,141,160],"model":[10,36,161],"incorporating":[11],"quiescent":[12],"cells,":[13],"cytotoxic":[14],"C":[15],"lymphocytes":[16],"(CTLs),":[17],"and":[18,27,43,94,102,122,142,168,175],"antibody":[19],"immune":[20],"responses":[21],"is":[22,58],"formulated.":[23],"First,":[24],"the":[25,30,35,41,46,51,54,67,99,105,134,143,154,172],"existence":[26,52],"uniqueness":[28],"of":[29,45,53,108,126,138,145,178],"global":[31],"positive":[32],"solutions":[33],"to":[34,87],"are":[37,73,85,114],"proven,":[38],"which":[39],"guarantees":[40],"well-posedness":[42],"validity":[44],"constructed":[47],"dynamic":[48],"system.":[49],"Second,":[50],"ergodic":[55],"stationary":[56],"distribution":[57],"investigated":[59],"by":[60],"constructing":[61],"suitable":[62],"Lyapunov":[64],"functions.":[65],"Third,":[66],"sufficient":[68],"conditions":[69],"for":[70,171],"elimination":[72],"derived.":[74],"Furthermore,":[75],"optimal":[76,176],"control":[77,147],"strategies":[78],"consistent":[79],"with":[80],"clinical":[81,179],"antiviral":[82],"treatment":[83,181],"regimens":[84],"proposed":[86],"achieve":[88],"trade-off":[90],"between":[91],"therapeutic":[92,128],"efficacy":[93,144],"economic":[95],"costs.":[96],"To":[97],"validate":[98],"theoretical":[100,117,155,166],"results":[101],"further":[103],"compare":[104],"practical":[106],"performance":[107],"different":[109,146],"intervention":[110],"schemes,":[111],"numerical":[112],"simulations":[113],"implemented,":[115],"including":[116],"verification,":[118],"parameter":[119],"sensitivity":[120],"analysis,":[121],"comprehensive":[123],"cost-effectiveness":[124],"assessment":[125],"various":[127],"strategies.":[129,182],"This":[130],"study":[131],"systematically":[132],"clarifies":[133],"dynamical":[135],"evolutionary":[136],"behaviors":[137],"HIV":[140,159,180],"measures.":[148],"The":[149],"findings":[150],"not":[151],"only":[152],"enrich":[153],"research":[156],"on":[157],"but":[162],"also":[163],"provide":[164],"solid":[165],"support":[167],"quantitative":[169],"guidance":[170],"design,":[173],"assessment,":[174],"selection":[177]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-10T00:00:00"}
