{"id":"https://openalex.org/W3162575292","doi":"https://doi.org/10.3390/e23050610","title":"A Caputo\u2013Fabrizio Fractional-Order Model of HIV/AIDS with a Treatment Compartment: Sensitivity Analysis and Optimal Control Strategies","display_name":"A Caputo\u2013Fabrizio Fractional-Order Model of HIV/AIDS with a Treatment Compartment: Sensitivity Analysis and Optimal Control Strategies","publication_year":2021,"publication_date":"2021-05-14","ids":{"openalex":"https://openalex.org/W3162575292","doi":"https://doi.org/10.3390/e23050610","mag":"3162575292","pmid":"https://pubmed.ncbi.nlm.nih.gov/34069228"},"language":"en","primary_location":{"id":"doi:10.3390/e23050610","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23050610","pdf_url":"https://www.mdpi.com/1099-4300/23/5/610/pdf?version=1621841192","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/5/610/pdf?version=1621841192","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100403971","display_name":"Hua Wang","orcid":"https://orcid.org/0000-0002-8575-042X"},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018961622","display_name":"Hadi Jahanshahi","orcid":"https://orcid.org/0000-0001-7810-6479"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hadi Jahanshahi","raw_affiliation_strings":["Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026237692","display_name":"Miao-Kun Wang","orcid":"https://orcid.org/0000-0002-0895-7128"},"institutions":[{"id":"https://openalex.org/I3018263800","display_name":"Huzhou University","ror":"https://ror.org/04mvpxy20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3018263800"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Miao-Kun Wang","raw_affiliation_strings":["Department of Mathematics, Huzhou University, Huzhou 313000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Huzhou University, Huzhou 313000, China","institution_ids":["https://openalex.org/I3018263800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038937667","display_name":"Stelios Bekiros","orcid":"https://orcid.org/0000-0002-9376-8726"},"institutions":[{"id":"https://openalex.org/I197854408","display_name":"University of Malta","ror":"https://ror.org/03a62bv60","country_code":"MT","type":"education","lineage":["https://openalex.org/I197854408"]},{"id":"https://openalex.org/I874792244","display_name":"European University Institute","ror":"https://ror.org/0031wrj91","country_code":"IT","type":"education","lineage":["https://openalex.org/I874792244"]}],"countries":["IT","MT"],"is_corresponding":true,"raw_author_name":"Stelios Bekiros","raw_affiliation_strings":["Department of Banking and Finance, FEMA, University of Malta, MSD 2080 Msida, Malta","European University Institute, Department of Economics, Via delle Fontanelle, 18, I-50014 Florence, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Banking and Finance, FEMA, University of Malta, MSD 2080 Msida, Malta","institution_ids":["https://openalex.org/I197854408"]},{"raw_affiliation_string":"European University Institute, Department of Economics, Via delle Fontanelle, 18, I-50014 Florence, Italy","institution_ids":["https://openalex.org/I874792244"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100606679","display_name":"Jinping Liu","orcid":"https://orcid.org/0000-0002-8669-882X"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinping Liu","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha 410081, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha 410081, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080090568","display_name":"Ayman A. Aly","orcid":"https://orcid.org/0000-0002-8383-8014"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ayman A. Aly","raw_affiliation_strings":["Department of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5026237692","https://openalex.org/A5038937667"],"corresponding_institution_ids":["https://openalex.org/I197854408","https://openalex.org/I3018263800","https://openalex.org/I874792244"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.4483,"has_fulltext":true,"cited_by_count":45,"citation_normalized_percentile":{"value":0.93290718,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"23","issue":"5","first_page":"610","last_page":"610"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9965000152587891,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6490787267684937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6239921450614929},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5601487755775452},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5363501310348511},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.46092933416366577},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4208669066429138},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4174618721008301},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.413136750459671},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34234970808029175},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.17006754875183105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13930043578147888},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11836150288581848},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06735479831695557}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6490787267684937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6239921450614929},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5601487755775452},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5363501310348511},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.46092933416366577},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4208669066429138},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4174618721008301},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.413136750459671},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34234970808029175},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.17006754875183105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13930043578147888},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11836150288581848},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06735479831695557},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e23050610","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23050610","pdf_url":"https://www.mdpi.com/1099-4300/23/5/610/pdf?version=1621841192","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:34069228","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34069228","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:5a62bb74bbc240e8a13fd38299bce224","is_oa":true,"landing_page_url":"https://doaj.org/article/5a62bb74bbc240e8a13fd38299bce224","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 23, Iss 5, p 610 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/5/610/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23050610","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 23; Issue 5; Pages: 610","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8156190","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8156190","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e23050610","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23050610","pdf_url":"https://www.mdpi.com/1099-4300/23/5/610/pdf?version=1621841192","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.8600000143051147,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G4393481380","display_name":null,"funder_award_id":"Saudi Arabia","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"},{"id":"https://openalex.org/G6769911199","display_name":null,"funder_award_id":"Saudi Arabia.","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"},{"id":"https://openalex.org/G6879358432","display_name":null,"funder_award_id":"TURSP-2020/77","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"},{"id":"https://openalex.org/G7299194679","display_name":null,"funder_award_id":"TURSP-2020","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"}],"funders":[{"id":"https://openalex.org/F4320323722","display_name":"Taif University","ror":"https://ror.org/014g1a453"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3162575292.pdf","grobid_xml":"https://content.openalex.org/works/W3162575292.grobid-xml"},"referenced_works_count":80,"referenced_works":["https://openalex.org/W1557530738","https://openalex.org/W1968557545","https://openalex.org/W1991873179","https://openalex.org/W1997848545","https://openalex.org/W2004477558","https://openalex.org/W2028032997","https://openalex.org/W2031306648","https://openalex.org/W2033593383","https://openalex.org/W2038068021","https://openalex.org/W2043240546","https://openalex.org/W2077708532","https://openalex.org/W2083709274","https://openalex.org/W2087735159","https://openalex.org/W2110566944","https://openalex.org/W2111016643","https://openalex.org/W2112680994","https://openalex.org/W2120117339","https://openalex.org/W2129694350","https://openalex.org/W2144622325","https://openalex.org/W2146400592","https://openalex.org/W2156367245","https://openalex.org/W2181968677","https://openalex.org/W2187932833","https://openalex.org/W2217118688","https://openalex.org/W2344637430","https://openalex.org/W2512443922","https://openalex.org/W2556784265","https://openalex.org/W2586138203","https://openalex.org/W2604893110","https://openalex.org/W2625936354","https://openalex.org/W2754952441","https://openalex.org/W2767748242","https://openalex.org/W2768153787","https://openalex.org/W2790268520","https://openalex.org/W2796292234","https://openalex.org/W2800088707","https://openalex.org/W2807921276","https://openalex.org/W2886150059","https://openalex.org/W2889598458","https://openalex.org/W2892079737","https://openalex.org/W2896012721","https://openalex.org/W2912155397","https://openalex.org/W2914686229","https://openalex.org/W2946851523","https://openalex.org/W2952275509","https://openalex.org/W2953992314","https://openalex.org/W2955436736","https://openalex.org/W2987076761","https://openalex.org/W2987928114","https://openalex.org/W2990745764","https://openalex.org/W2991275169","https://openalex.org/W2996991001","https://openalex.org/W3001386584","https://openalex.org/W3012522386","https://openalex.org/W3017040140","https://openalex.org/W3026136379","https://openalex.org/W3049551288","https://openalex.org/W3089672324","https://openalex.org/W3097908228","https://openalex.org/W3114885141","https://openalex.org/W3120219852","https://openalex.org/W3123337370","https://openalex.org/W3123623255","https://openalex.org/W3132893050","https://openalex.org/W3134308545","https://openalex.org/W3135583422","https://openalex.org/W3145775454","https://openalex.org/W3148269989","https://openalex.org/W4247953052","https://openalex.org/W4299555231","https://openalex.org/W6642548283","https://openalex.org/W6658066958","https://openalex.org/W6659797712","https://openalex.org/W6686907548","https://openalex.org/W6726234224","https://openalex.org/W6730176618","https://openalex.org/W6744315201","https://openalex.org/W6754784751","https://openalex.org/W6777478605","https://openalex.org/W6852529050"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W2784467519","https://openalex.org/W4289867043","https://openalex.org/W2366459771","https://openalex.org/W1973736094","https://openalex.org/W2351083540","https://openalex.org/W2953854768","https://openalex.org/W2350707375","https://openalex.org/W2377881809","https://openalex.org/W2355516922"],"abstract_inverted_index":{"Although":[0],"most":[1,147],"of":[2,33,44,47,57,69,82,92,100,117,131,168,179,189,198,213],"the":[3,13,42,78,93,106,115,129,143,146,169,176,184,190,195,210,214],"early":[4],"research":[5],"studies":[6],"on":[7,12,142],"fractional-order":[8,17,90,98,166,216],"systems":[9,119],"were":[10,139,155],"based":[11],"Caputo":[14],"or":[15],"Riemann-Liouville":[16],"derivatives,":[18],"it":[19],"has":[20],"recently":[21],"been":[22,61],"proven":[23],"that":[24,39,208],"these":[25,34,70],"methods":[26,35],"have":[27,36,60],"some":[28],"drawbacks.":[29],"For":[30],"instance,":[31],"kernels":[32],"a":[37,88,111,163],"singularity":[38,107],"occurs":[40],"at":[41],"endpoint":[43],"an":[45,83],"interval":[46],"definition.":[48],"Thus,":[49],"to":[50,104,125],"overcome":[51],"this":[52,161],"issue,":[53],"several":[54],"new":[55],"definitions":[56],"fractional":[58,65],"derivatives":[59],"introduced.":[62],"The":[63,96],"Caputo-Fabrizio":[64,89,97,165,215],"order":[66,124],"is":[67,75,102,110,172],"one":[68],"nonsingular":[71],"definitions.":[72],"This":[73],"paper":[74],"concerned":[76],"with":[77],"analyses":[79,138],"and":[80,120,153,181,194,218],"design":[81],"optimal":[84,201],"control":[85,158,202,220],"strategy":[86],"for":[87],"model":[91,99,167,217],"HIV/AIDS":[94,101,170],"epidemic.":[95],"considered":[103],"prevent":[105],"problem,":[108],"which":[109],"real":[112],"concern":[113],"in":[114,123,150],"modeling":[116],"real-world":[118],"phenomena.":[121],"Firstly,":[122],"find":[126],"out":[127],"how":[128],"population":[130],"each":[132],"compartment":[133,192],"can":[134],"be":[135],"controlled,":[136],"sensitivity":[137,144],"conducted.":[140],"Based":[141],"analyses,":[145],"effective":[148],"agents":[149],"disease":[151],"transmission":[152],"prevalence":[154],"selected":[156],"as":[157],"inputs.":[159],"In":[160],"way,":[162],"modified":[164],"epidemic":[171],"proposed.":[173],"By":[174],"changing":[175],"contact":[177],"rate":[178,188],"susceptible":[180,199],"infectious":[182],"people,":[183,200],"atraumatic":[185],"restorative":[186],"treatment":[187],"treated":[191],"individuals,":[193],"sexual":[196],"habits":[197],"was":[203],"designed.":[204],"Lastly,":[205],"simulation":[206],"results":[207],"demonstrate":[209],"appropriate":[211],"performance":[212],"proposed":[219],"scheme":[221],"are":[222],"illustrated.":[223]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":6}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}
