{"id":"https://openalex.org/W6884619572","doi":"https://doi.org/10.1109/access.2025.3555306","title":"Exploring the Dynamics of Social Media Addiction and Depression Models With Discrete and Distributed Delays","display_name":"Exploring the Dynamics of Social Media Addiction and Depression Models With Discrete and Distributed Delays","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W6884619572","doi":"https://doi.org/10.1109/access.2025.3555306"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3555306","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3555306","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3555306","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"V. Madhusudanan","orcid":"https://orcid.org/0000-0002-9148-1350"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"V. Madhusudanan","raw_affiliation_strings":["Department of Mathematics, S. A. Engineering College, Chennai, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-9148-1350","affiliations":[{"raw_affiliation_string":"Department of Mathematics, S. A. Engineering College, Chennai, Tamil Nadu, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"L. Guerrini","orcid":"https://orcid.org/0000-0001-8489-5531"},"institutions":[{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Guerrini","raw_affiliation_strings":["Department of Management, Polytechnic University of Marche, Ancona, Italy"],"raw_orcid":"https://orcid.org/0000-0001-8489-5531","affiliations":[{"raw_affiliation_string":"Department of Management, Polytechnic University of Marche, Ancona, Italy","institution_ids":["https://openalex.org/I122534668"]}]},{"author_position":"middle","author":{"id":null,"display_name":"B. S. N. Murthy","orcid":"https://orcid.org/0000-0002-8588-1876"},"institutions":[{"id":"https://openalex.org/I4210145126","display_name":"Aditya Birla (India)","ror":"https://ror.org/03pztks36","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210145126"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. S. N. Murthy","raw_affiliation_strings":["Department of Mathematics, Aditya University, Surampalem, Andhra Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0002-8588-1876","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aditya University, Surampalem, Andhra Pradesh, India","institution_ids":["https://openalex.org/I4210145126"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Nhu-Ngoc Dao","orcid":"https://orcid.org/0000-0003-1565-4376"},"institutions":[{"id":"https://openalex.org/I28777354","display_name":"Sejong University","ror":"https://ror.org/00aft1q37","country_code":"KR","type":"education","lineage":["https://openalex.org/I28777354"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Nhu-Ngoc Dao","raw_affiliation_strings":["Department of Computer Science and Engineering, Sejong University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0003-1565-4376","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Sejong University, Seoul, South Korea","institution_ids":["https://openalex.org/I28777354"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sungrae Cho","orcid":"https://orcid.org/0000-0003-1879-688X"},"institutions":[{"id":"https://openalex.org/I67900169","display_name":"Chung-Ang University","ror":"https://ror.org/01r024a98","country_code":"KR","type":"education","lineage":["https://openalex.org/I67900169"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sungrae Cho","raw_affiliation_strings":["School of Computer Science and Engineering, Chung-Ang University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0003-1879-688X","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Chung-Ang University, Seoul, South Korea","institution_ids":["https://openalex.org/I67900169"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":17.9154,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.99083188,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"13","issue":null,"first_page":"55682","last_page":"55700"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10355","display_name":"Impact of Technology on Adolescents","score":0.38519999384880066,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10355","display_name":"Impact of Technology on Adolescents","score":0.38519999384880066,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13283","display_name":"Mental Health Research Topics","score":0.14100000262260437,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.1370999962091446,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7192999720573425},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6367999911308289},{"id":"https://openalex.org/keywords/addiction","display_name":"Addiction","score":0.5925999879837036},{"id":"https://openalex.org/keywords/social-media","display_name":"Social media","score":0.5324000120162964},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4611999988555908},{"id":"https://openalex.org/keywords/psychological-intervention","display_name":"Psychological intervention","score":0.44929999113082886},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4474000036716461},{"id":"https://openalex.org/keywords/depression","display_name":"Depression (economics)","score":0.44179999828338623},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.41200000047683716}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7192999720573425},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6367999911308289},{"id":"https://openalex.org/C48856860","wikidata":"https://www.wikidata.org/wiki/Q12029","display_name":"Addiction","level":2,"score":0.5925999879837036},{"id":"https://openalex.org/C518677369","wikidata":"https://www.wikidata.org/wiki/Q202833","display_name":"Social media","level":2,"score":0.5324000120162964},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4611999988555908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45419999957084656},{"id":"https://openalex.org/C27415008","wikidata":"https://www.wikidata.org/wiki/Q7256382","display_name":"Psychological intervention","level":2,"score":0.44929999113082886},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4474000036716461},{"id":"https://openalex.org/C2776867660","wikidata":"https://www.wikidata.org/wiki/Q1814941","display_name":"Depression (economics)","level":2,"score":0.44179999828338623},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.41200000047683716},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3790000081062317},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.35109999775886536},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.34619998931884766},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3425999879837036},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.32829999923706055},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3206999897956848},{"id":"https://openalex.org/C67469775","wikidata":"https://www.wikidata.org/wiki/Q304922","display_name":"Social dynamics","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3084000051021576},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C134362201","wikidata":"https://www.wikidata.org/wiki/Q317309","display_name":"Mental health","level":2,"score":0.30660000443458557},{"id":"https://openalex.org/C30772137","wikidata":"https://www.wikidata.org/wiki/Q5164762","display_name":"Consumption (sociology)","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2777999937534332},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.27730000019073486},{"id":"https://openalex.org/C3020105747","wikidata":"https://www.wikidata.org/wiki/Q11118951","display_name":"Media coverage","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C151915977","wikidata":"https://www.wikidata.org/wiki/Q5937740","display_name":"Human dynamics","level":2,"score":0.25279998779296875},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2025.3555306","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3555306","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fc10c91bf10e459ab5e7a0cc57d332e2","is_oa":true,"landing_page_url":"https://doaj.org/article/fc10c91bf10e459ab5e7a0cc57d332e2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 55682-55700 (2025)","raw_type":"article"},{"id":"pmh:oai:iris.univpm.it:11566/342552","is_oa":true,"landing_page_url":"https://hdl.handle.net/11566/342552","pdf_url":null,"source":{"id":"https://openalex.org/S4306402571","display_name":"Universit\u00e0 Politecnica delle Marche (Universit\u00e0 Politecnica delle Marche)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122534668","host_organization_name":"Marche Polytechnic University","host_organization_lineage":["https://openalex.org/I122534668"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3555306","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3555306","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G867011891","display_name":null,"funder_award_id":"IITP-2025-RS-2022-00156353 (50%)","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1971590194","https://openalex.org/W2007534891","https://openalex.org/W2085564127","https://openalex.org/W2801331471","https://openalex.org/W2808535592","https://openalex.org/W2899789575","https://openalex.org/W2901393209","https://openalex.org/W2903415436","https://openalex.org/W2917250809","https://openalex.org/W2924664363","https://openalex.org/W2939665059","https://openalex.org/W2940080018","https://openalex.org/W2952823451","https://openalex.org/W2964744194","https://openalex.org/W2976122953","https://openalex.org/W2990512169","https://openalex.org/W2998834126","https://openalex.org/W3005760569","https://openalex.org/W3088257736","https://openalex.org/W3092154655","https://openalex.org/W3101702870","https://openalex.org/W3105531522","https://openalex.org/W3107668798","https://openalex.org/W3126372704","https://openalex.org/W3126814671","https://openalex.org/W3177337256","https://openalex.org/W3180351162","https://openalex.org/W3183276574","https://openalex.org/W3190599174","https://openalex.org/W4213359460","https://openalex.org/W4282920511","https://openalex.org/W4283025025","https://openalex.org/W4294576619","https://openalex.org/W4308333986","https://openalex.org/W4366981128","https://openalex.org/W4380202241","https://openalex.org/W4392716622","https://openalex.org/W4394707285","https://openalex.org/W6769663381"],"related_works":[],"abstract_inverted_index":{"Web-based":[0],"networking":[1],"significantly":[2],"influences":[3],"daily":[4],"interactions":[5],"and":[6,15,36,48,51,99,110,128,138],"user":[7],"well-being.":[8],"This":[9,119],"study":[10],"analyzes":[11],"social":[12,149],"media":[13,150],"addiction":[14,151],"depression":[16],"models":[17],"that":[18,59],"incorporate":[19],"distribution":[20,84],"delays":[21,70,97],"to":[22,41,72,143],"enhance":[23],"control":[24],"strategies.":[25],"Unlike":[26],"previous":[27],"deterministic":[28],"models,":[29],"our":[30],"approach":[31],"integrates":[32],"both":[33,61,78],"discrete":[34,127],"(Dirac-delta)":[35],"distributed":[37,129],"(gamma)":[38],"delay":[39,79,103],"distributions":[40],"assess":[42],"the":[43,52,82,89,108,145],"linear":[44],"stability":[45,64,87,111],"of":[46,54,112,148],"disease-free":[47],"endemic":[49,90],"equilibria":[50,62],"occurrence":[53],"Hopf":[55,75],"bifurcation.":[56],"We":[57],"find":[58],"while":[60],"maintain":[63],"under":[65],"short":[66],"delays,":[67,130],"increased":[68],"mean":[69],"lead":[71],"instability":[73],"through":[74],"bifurcation":[76],"across":[77],"types.":[80],"Notably,":[81],"gamma":[83],"demonstrates":[85],"a":[86,122],"switch;":[88],"equilibrium":[91],"initially":[92],"remains":[93],"stable,":[94],"destabilizes":[95],"as":[96],"lengthen,":[98],"restabilizes":[100],"with":[101],"further":[102],"increases.":[104],"Analytical":[105],"results":[106],"confirm":[107],"direction":[109],"these":[113],"bifurcations,":[114],"supported":[115],"by":[116,125],"numerical":[117],"validations.":[118],"research":[120],"fills":[121],"significant":[123],"gap":[124],"combining":[126],"providing":[131],"insights":[132],"crucial":[133],"for":[134],"developing":[135],"effective":[136],"interventions":[137],"shaping":[139],"public":[140],"health":[141],"policies":[142],"mitigate":[144],"adverse":[146],"effects":[147],"on":[152],"mental":[153],"health.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
