{"id":"https://openalex.org/W2763076861","doi":"https://doi.org/10.1142/s0218127417501504","title":"A Delayed Virus Infection Model with Cell-to-Cell Transmission and CTL Immune Response","display_name":"A Delayed Virus Infection Model with Cell-to-Cell Transmission and CTL Immune Response","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2763076861","doi":"https://doi.org/10.1142/s0218127417501504","mag":"2763076861"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127417501504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417501504","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/A5100612290","display_name":"Yu Yang","orcid":"https://orcid.org/0000-0001-9863-253X"},"institutions":[{"id":"https://openalex.org/I105126617","display_name":"Zhejiang International Studies University","ror":"https://ror.org/01vwvvq12","country_code":"CN","type":"education","lineage":["https://openalex.org/I105126617"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Yang","raw_affiliation_strings":["Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, P. R. China","institution_ids":["https://openalex.org/I105126617"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086628608","display_name":"Tonghua Zhang","orcid":"https://orcid.org/0000-0003-0510-1428"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tonghua Zhang","raw_affiliation_strings":["Department of Mathematics, Swinburne University of Technology, Melbourne 3122, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Swinburne University of Technology, Melbourne 3122, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009328791","display_name":"Yancong Xu","orcid":"https://orcid.org/0000-0002-0968-2234"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yancong Xu","raw_affiliation_strings":["Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, P. R. China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102287003","display_name":"Jinling Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I105126617","display_name":"Zhejiang International Studies University","ror":"https://ror.org/01vwvvq12","country_code":"CN","type":"education","lineage":["https://openalex.org/I105126617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinling Zhou","raw_affiliation_strings":["Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, P. R. China","institution_ids":["https://openalex.org/I105126617"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100612290"],"corresponding_institution_ids":["https://openalex.org/I105126617"],"apc_list":null,"apc_paid":null,"fwci":1.1781,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81424509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":"10","first_page":"1750150","last_page":"1750150"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9879999756813049,"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/T11020","display_name":"Immune Cell Function and Interaction","score":0.9811000227928162,"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/ctl*","display_name":"CTL*","score":0.9568547606468201},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.6151725053787231},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5518860220909119},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.53721022605896},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5275818109512329},{"id":"https://openalex.org/keywords/immune-system","display_name":"Immune system","score":0.5181085467338562},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.4433751702308655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4019699990749359},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37689679861068726},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2714577913284302},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23559322953224182},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.16788265109062195},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.16627269983291626},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.16612300276756287},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.11169305443763733},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08628010749816895},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.07195672392845154}],"concepts":[{"id":"https://openalex.org/C147969180","wikidata":"https://www.wikidata.org/wiki/Q5014579","display_name":"CTL*","level":4,"score":0.9568547606468201},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.6151725053787231},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5518860220909119},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.53721022605896},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5275818109512329},{"id":"https://openalex.org/C8891405","wikidata":"https://www.wikidata.org/wiki/Q1059","display_name":"Immune system","level":2,"score":0.5181085467338562},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.4433751702308655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4019699990749359},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37689679861068726},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2714577913284302},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23559322953224182},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.16788265109062195},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.16627269983291626},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.16612300276756287},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.11169305443763733},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08628010749816895},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.07195672392845154},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C167672396","wikidata":"https://www.wikidata.org/wiki/Q417800","display_name":"CD8","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127417501504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417501504","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"},{"id":"pmh:oai:researchbank.swinburne.edu.au:b339aef6-7e8f-4b09-bee4-e01ed858271b/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/439931","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, Vol. 27, no. 10 (Sep 2017), article no. 1750150","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.6600000262260437,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G643353066","display_name":null,"funder_award_id":"11501519","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W341845201","https://openalex.org/W1603340857","https://openalex.org/W1771812137","https://openalex.org/W1958809597","https://openalex.org/W1963713643","https://openalex.org/W1966560110","https://openalex.org/W1980587508","https://openalex.org/W1987790493","https://openalex.org/W1996970940","https://openalex.org/W2006175312","https://openalex.org/W2012374634","https://openalex.org/W2016317231","https://openalex.org/W2020422739","https://openalex.org/W2036642613","https://openalex.org/W2061241509","https://openalex.org/W2063032390","https://openalex.org/W2065237420","https://openalex.org/W2071448055","https://openalex.org/W2079411970","https://openalex.org/W2085081908","https://openalex.org/W2085722235","https://openalex.org/W2089782348","https://openalex.org/W2089876099","https://openalex.org/W2092449772","https://openalex.org/W2095248288","https://openalex.org/W2104323710","https://openalex.org/W2105347622","https://openalex.org/W2145083409","https://openalex.org/W2286951455","https://openalex.org/W2317345474","https://openalex.org/W2329851914","https://openalex.org/W2346643892","https://openalex.org/W2401150906","https://openalex.org/W2465860514","https://openalex.org/W2503391840","https://openalex.org/W4211202937"],"related_works":["https://openalex.org/W2047295876","https://openalex.org/W2111460888","https://openalex.org/W3081479661","https://openalex.org/W2314121320","https://openalex.org/W2471845664","https://openalex.org/W2973362987","https://openalex.org/W2067871196","https://openalex.org/W1980513241","https://openalex.org/W1973442168","https://openalex.org/W2364290310"],"abstract_inverted_index":{"In":[0,17],"this":[1],"paper,":[2,91],"a":[3],"delayed":[4],"virus":[5],"infection":[6],"model":[7],"with":[8],"cell-to-cell":[9],"transmission":[10],"and":[11],"CTL":[12,26,50],"immune":[13],"response":[14,51],"is":[15,22],"investigated.":[16],"the":[18,25,36,49,61,64,68,76,80,84,87,90],"model,":[19],"time":[20,46,72],"delay":[21,47],"incorporated":[23],"into":[24],"response.":[27],"By":[28],"constructing":[29],"Lyapunov":[30],"functionals,":[31],"global":[32],"dynamical":[33],"properties":[34],"of":[35,63,70,83,89],"two":[37],"boundary":[38],"equilibria":[39],"are":[40,94],"established.":[41],"Our":[42],"results":[43],"show":[44],"that":[45],"in":[48],"process":[52],"may":[53],"lead":[54],"to":[55,74],"sustained":[56],"oscillation.":[57],"To":[58],"further":[59],"investigate":[60],"nature":[62],"oscillation,":[65],"we":[66],"apply":[67],"method":[69],"multiple":[71],"scales":[73],"calculate":[75],"normal":[77],"form":[78],"on":[79],"center":[81],"manifold":[82],"model.":[85],"At":[86],"end":[88],"numerical":[92],"simulations":[93],"carried":[95],"out,":[96],"which":[97],"support":[98],"our":[99],"theoretical":[100],"results.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}