{"id":"https://openalex.org/W4283730445","doi":"https://doi.org/10.1142/s0218127422501188","title":"Asymptotic Properties and Stability Switch of a Delayed-Within-Host-Dengue Infection Model with Mitosis and Immune Response","display_name":"Asymptotic Properties and Stability Switch of a Delayed-Within-Host-Dengue Infection Model with Mitosis and Immune Response","publication_year":2022,"publication_date":"2022-06-30","ids":{"openalex":"https://openalex.org/W4283730445","doi":"https://doi.org/10.1142/s0218127422501188"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127422501188","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501188","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-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/A5101455729","display_name":"Haifeng Wang","orcid":"https://orcid.org/0009-0007-0884-4098"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Wang","raw_affiliation_strings":["Complex Systems Research Center, Shanxi University, Taiyuan 030006, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Complex Systems Research Center, Shanxi University, Taiyuan 030006, P. R. China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063147362","display_name":"Xiaohong Tian","orcid":"https://orcid.org/0000-0003-4468-0645"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaohong Tian","raw_affiliation_strings":["Complex Systems Research Center, Shanxi University, Taiyuan 030006, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-4468-0645","affiliations":[{"raw_affiliation_string":"Complex Systems Research Center, Shanxi University, Taiyuan 030006, P. R. China","institution_ids":["https://openalex.org/I181877577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063147362"],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":null,"apc_paid":null,"fwci":0.1983,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53739388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"08","first_page":null,"last_page":null},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12047","display_name":"Viral Infections and Vectors","score":0.9695000052452087,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.6852585077285767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6659256219863892},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6427614688873291},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6148130297660828},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5484198331832886},{"id":"https://openalex.org/keywords/invariance-principle","display_name":"Invariance principle","score":0.5456758737564087},{"id":"https://openalex.org/keywords/dengue-fever","display_name":"Dengue fever","score":0.5275651812553406},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5205017924308777},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49609407782554626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46966445446014404},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.42279762029647827},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2381472885608673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1908869743347168},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.18290945887565613},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1778298020362854},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.10731920599937439},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.0803668200969696}],"concepts":[{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.6852585077285767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6659256219863892},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6427614688873291},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6148130297660828},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5484198331832886},{"id":"https://openalex.org/C156387681","wikidata":"https://www.wikidata.org/wiki/Q6059484","display_name":"Invariance principle","level":2,"score":0.5456758737564087},{"id":"https://openalex.org/C533803919","wikidata":"https://www.wikidata.org/wiki/Q30953","display_name":"Dengue fever","level":2,"score":0.5275651812553406},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5205017924308777},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49609407782554626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46966445446014404},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.42279762029647827},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2381472885608673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1908869743347168},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.18290945887565613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1778298020362854},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.10731920599937439},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0803668200969696},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127422501188","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501188","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G423030170","display_name":"\u57fa\u4e8e\u6e38\u79bb\u75c5\u6bd2\u548c\u7ec6\u80de-\u7ec6\u80de\u4f20\u64ad\u7684HIV\u514d\u75ab-\u6d41\u884c\u75c5\u5b66\u5d4c\u5957\u52a8\u529b\u5b66\u7684\u5efa\u6a21\u4e0e\u7814\u7a76","funder_award_id":"11871316","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7004479228","display_name":null,"funder_award_id":"201801D221007","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G811463108","display_name":null,"funder_award_id":"201801D121006","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G8607270123","display_name":null,"funder_award_id":"11801340","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/F4320322666","display_name":"Natural Science Foundation of Shanxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W341845201","https://openalex.org/W1494401243","https://openalex.org/W1983173496","https://openalex.org/W1987504056","https://openalex.org/W1995792000","https://openalex.org/W1997297480","https://openalex.org/W2009497399","https://openalex.org/W2011771253","https://openalex.org/W2021320112","https://openalex.org/W2034849418","https://openalex.org/W2044403736","https://openalex.org/W2044620872","https://openalex.org/W2067241000","https://openalex.org/W2081879691","https://openalex.org/W2085621125","https://openalex.org/W2093270447","https://openalex.org/W2102798763","https://openalex.org/W2103028984","https://openalex.org/W2104428288","https://openalex.org/W2112939785","https://openalex.org/W2126789944","https://openalex.org/W2152803686","https://openalex.org/W2153123868","https://openalex.org/W2158630456","https://openalex.org/W2319557248","https://openalex.org/W2335001735","https://openalex.org/W2560754429","https://openalex.org/W2726335543","https://openalex.org/W2898239640","https://openalex.org/W3042411205","https://openalex.org/W3047119633","https://openalex.org/W4211202937"],"related_works":["https://openalex.org/W2372335318","https://openalex.org/W2034471702","https://openalex.org/W2291742240","https://openalex.org/W2511412881","https://openalex.org/W4320351350","https://openalex.org/W2969197516","https://openalex.org/W2593471576","https://openalex.org/W2024035605","https://openalex.org/W2774469868","https://openalex.org/W2418891709"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,21],"delayed-within-host-dengue":[4],"infection":[5,79,111],"model":[6,32,83],"with":[7,84],"mitosis":[8],"and":[9,20,27,73,96],"immune":[10],"response":[11],"is":[12,18,33,40,48,55,64,88,126,141],"analyzed.":[13],"The":[14,123],"basic":[15,45,61,150],"reproduction":[16,46,62,151],"number":[17,47,63,152],"calculated":[19,127],"detailed":[22],"discussion":[23],"on":[24,149],"the":[25,31,44,52,60,68,77,82,105,109,119,133,138,159],"local":[26],"global":[28,106],"dynamics":[29],"of":[30,70,81,93,108,132,161,163],"conducted.":[34],"By":[35],"using":[36],"comparison":[37],"arguments,":[38],"it":[39],"shown":[41],"that":[42,157],"when":[43,137],"less":[49],"than":[50,66],"unity,":[51,67],"infection-free":[53],"equilibrium":[54,80],"globally":[56],"asymptotically":[57],"stable.":[58],"When":[59],"greater":[65],"existence":[69],"Hopf":[71],"bifurcation":[72,134],"stability":[74,107,160],"switch":[75],"at":[76],"immunity-activated":[78,110],"or":[85],"without":[86],"delay":[87,140],"established.":[89],"Furthermore,":[90],"by":[91],"means":[92],"Lyapunov":[94],"functional":[95],"LaSalle\u2019s":[97],"invariance":[98],"principle,":[99],"sufficient":[100],"conditions":[101],"are":[102,115],"obtained":[103],"for":[104],"equilibrium.":[112,165],"Numerical":[113],"simulations":[114],"given":[116],"to":[117,128,153],"illustrate":[118],"main":[120],"theoretical":[121],"results.":[122],"normal":[124],"form":[125],"analyze":[129],"some":[130],"properties":[131],"periodic":[135],"solution":[136],"time":[139],"absent.":[142],"Moreover,":[143],"we":[144],"carry":[145],"out":[146],"sensitivity":[147],"analysis":[148],"determine":[154],"crucial":[155],"parameters":[156],"affect":[158],"each":[162],"feasible":[164]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
