{"id":"https://openalex.org/W2039780384","doi":"https://doi.org/10.1109/bmei.2011.6098732","title":"Stability analysis for a fractional HIV-1 model with time delay","display_name":"Stability analysis for a fractional HIV-1 model with time delay","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2039780384","doi":"https://doi.org/10.1109/bmei.2011.6098732","mag":"2039780384"},"language":"en","primary_location":{"id":"doi:10.1109/bmei.2011.6098732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2011.6098732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 4th International Conference on Biomedical Engineering and Informatics (BMEI)","raw_type":"proceedings-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/A5101602641","display_name":"Yan Ye","orcid":"https://orcid.org/0000-0002-7278-0822"},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ye Yan","raw_affiliation_strings":["College of Information Sciences and Technology, Donghua University, Shanghai, China","College of Information Sciences and Technology, Donghua University, Shanghai 201620, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Information Sciences and Technology, Donghua University, Shanghai, China","institution_ids":["https://openalex.org/I181326427"]},{"raw_affiliation_string":"College of Information Sciences and Technology, Donghua University, Shanghai 201620, P. R. China","institution_ids":["https://openalex.org/I181326427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019769683","display_name":"Chunhai Kou","orcid":"https://orcid.org/0000-0002-0958-5725"},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunhai Kou","raw_affiliation_strings":["Department of Applied Mathematics, Donghua University, Shanghai, China","Department of Applied Mathematics, Donghua University, Shanghai 201620, P. R. China,"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Donghua University, Shanghai, China","institution_ids":["https://openalex.org/I181326427"]},{"raw_affiliation_string":"Department of Applied Mathematics, Donghua University, Shanghai 201620, P. R. China,","institution_ids":["https://openalex.org/I181326427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101602641"],"corresponding_institution_ids":["https://openalex.org/I181326427"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15089769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"271","issue":null,"first_page":"1867","last_page":"1871"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991999864578247,"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/T11020","display_name":"Immune Cell Function and Interaction","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"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/stability","display_name":"Stability (learning theory)","score":0.7574789524078369},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.6301891803741455},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.6274653673171997},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5962340831756592},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48660361766815186},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4772624671459198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4674901068210602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4282096028327942},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4203779101371765},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3302513659000397},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16955432295799255},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.11586010456085205},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10628348588943481},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08486449718475342},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05527985095977783}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7574789524078369},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.6301891803741455},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.6274653673171997},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5962340831756592},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48660361766815186},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4772624671459198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4674901068210602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4282096028327942},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4203779101371765},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3302513659000397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16955432295799255},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.11586010456085205},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10628348588943481},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08486449718475342},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05527985095977783},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bmei.2011.6098732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2011.6098732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 4th International Conference on Biomedical Engineering and Informatics (BMEI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.800000011920929}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W75559788","https://openalex.org/W187679580","https://openalex.org/W1535264379","https://openalex.org/W1553338987","https://openalex.org/W1584611818","https://openalex.org/W1973605607","https://openalex.org/W1991873179","https://openalex.org/W2011630381","https://openalex.org/W2022098233","https://openalex.org/W2042628558","https://openalex.org/W2045404347","https://openalex.org/W2067064980","https://openalex.org/W2084677575","https://openalex.org/W2094187171","https://openalex.org/W2120827882","https://openalex.org/W2131034575","https://openalex.org/W2259227674","https://openalex.org/W2497210720","https://openalex.org/W6603049486","https://openalex.org/W6632330605"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W4246784705","https://openalex.org/W3121927021","https://openalex.org/W4390948881","https://openalex.org/W1607068974","https://openalex.org/W2021368388","https://openalex.org/W2035671297","https://openalex.org/W2742971749"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"fractional-order":[5],"derivatives":[6],"into":[7],"a":[8],"model":[9],"of":[10,20,27],"HIV-1":[11],"infection":[12],"with":[13],"time":[14,22],"delay.":[15],"We":[16],"study":[17],"the":[18,21,25,29,34,44,62],"effect":[19],"delay":[23],"on":[24],"stability":[26],"both":[28,43],"viral":[30],"free":[31],"equilibrium":[32],"and":[33],"infected":[35],"equilibrium.":[36],"Criteria":[37],"are":[38,46,57],"given":[39],"to":[40,60],"ensure":[41],"that":[42],"equilibria":[45],"asymptotically":[47],"stable":[48],"for":[49],"all":[50],"delays":[51],"under":[52],"some":[53],"condition.":[54],"Numerical":[55],"simulations":[56],"carried":[58],"out":[59],"illustrate":[61],"results.":[63]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
