{"id":"https://openalex.org/W2064719976","doi":"https://doi.org/10.3390/e17010471","title":"Modeling and Analyzing the Interaction between Network Rumors and Authoritative Information","display_name":"Modeling and Analyzing the Interaction between Network Rumors and Authoritative Information","publication_year":2015,"publication_date":"2015-01-19","ids":{"openalex":"https://openalex.org/W2064719976","doi":"https://doi.org/10.3390/e17010471","mag":"2064719976"},"language":"en","primary_location":{"id":"doi:10.3390/e17010471","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17010471","pdf_url":"https://www.mdpi.com/1099-4300/17/1/471/pdf?version=1424785966","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/17/1/471/pdf?version=1424785966","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030333159","display_name":"Lingling Xia","orcid":"https://orcid.org/0000-0003-3032-0382"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lingling Xia","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005382201","display_name":"Guo\u2010Ping Jiang","orcid":"https://orcid.org/0000-0001-9448-0989"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoping Jiang","raw_affiliation_strings":["School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024193112","display_name":"Yurong Song","orcid":"https://orcid.org/0000-0002-5827-4413"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yurong Song","raw_affiliation_strings":["School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101415090","display_name":"Bo Song","orcid":"https://orcid.org/0000-0002-2930-9752"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Song","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005382201"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9087,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.85572755,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"17","issue":"1","first_page":"471","last_page":"482"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11147","display_name":"Misinformation and Its Impacts","score":0.9761999845504761,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rumor","display_name":"Rumor","score":0.6973924040794373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6085252165794373},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.44204437732696533},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.423678994178772},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4114440977573395},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15689539909362793},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1406444013118744},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13684099912643433}],"concepts":[{"id":"https://openalex.org/C2780469804","wikidata":"https://www.wikidata.org/wiki/Q878352","display_name":"Rumor","level":2,"score":0.6973924040794373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6085252165794373},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.44204437732696533},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.423678994178772},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4114440977573395},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15689539909362793},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1406444013118744},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13684099912643433},{"id":"https://openalex.org/C39549134","wikidata":"https://www.wikidata.org/wiki/Q133080","display_name":"Public relations","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e17010471","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17010471","pdf_url":"https://www.mdpi.com/1099-4300/17/1/471/pdf?version=1424785966","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":"pmh:oai:doaj.org/article:a5d2530b26cc43f389b0c8686233dcd1","is_oa":true,"landing_page_url":"https://doaj.org/article/a5d2530b26cc43f389b0c8686233dcd1","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 17, Iss 1, Pp 471-482 (2015)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/17/1/471/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e17010471","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","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e17010471","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17010471","pdf_url":"https://www.mdpi.com/1099-4300/17/1/471/pdf?version=1424785966","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":[],"awards":[{"id":"https://openalex.org/G3541562074","display_name":null,"funder_award_id":"61373136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4794703675","display_name":null,"funder_award_id":"61374180","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2064719976.pdf","grobid_xml":"https://content.openalex.org/works/W2064719976.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1581157005","https://openalex.org/W1812342127","https://openalex.org/W1889213102","https://openalex.org/W1966131528","https://openalex.org/W1969323960","https://openalex.org/W1977878271","https://openalex.org/W1978862925","https://openalex.org/W1990464324","https://openalex.org/W2008620264","https://openalex.org/W2013142069","https://openalex.org/W2038195874","https://openalex.org/W2040938924","https://openalex.org/W2044088770","https://openalex.org/W2050316258","https://openalex.org/W2058904112","https://openalex.org/W2060364385","https://openalex.org/W2067527464","https://openalex.org/W2076367080","https://openalex.org/W2086626921","https://openalex.org/W2097264805","https://openalex.org/W2112090702","https://openalex.org/W2134435043","https://openalex.org/W2142144213","https://openalex.org/W2170912324","https://openalex.org/W2366099635","https://openalex.org/W2373751625","https://openalex.org/W4242334680","https://openalex.org/W6642445930"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2372853429","https://openalex.org/W2793319716","https://openalex.org/W3110636174","https://openalex.org/W4210503589","https://openalex.org/W2810386322","https://openalex.org/W2908713064","https://openalex.org/W2801267666","https://openalex.org/W4213140416"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,46,73],"novel":[6],"two-stage":[7],"rumor":[8,144,164],"spreading":[9,137,165],"Susceptible-Infected-Authoritative-Removed":[10],"(SIAR)":[11],"model":[12,30,66,98,155],"for":[13,159],"complex":[14],"homogeneous":[15],"and":[16,41,59,167],"heterogeneous":[17,130],"networks.":[18],"The":[19,86,109],"interaction":[20,37],"Markov":[21],"chains":[22],"(IMC)":[23],"mean-field":[24],"equations":[25],"based":[26],"on":[27,162],"the":[28,35,39,53,56,64,83,91,96,100,104,111,116,120,127,136,141,149,152,163,168],"SIAR":[29,60,65,97,154],"are":[31,132],"derived":[32],"to":[33,51,135],"describe":[34],"dynamic":[36],"between":[38],"rumors":[40,81,121],"authoritative":[42,70,112],"information.":[43],"We":[44,124],"use":[45],"Monte":[47],"Carlo":[48],"simulation":[49,87],"method":[50],"characterize":[52],"dynamics":[54],"of":[55,69,77,80,95,106,138,143,148,151],"Susceptible-Infected-Removed":[57],"(SIR)":[58],"models,":[61],"showing":[62],"that":[63,90,129],"with":[67],"consideration":[68],"information":[71,113],"gives":[72],"more":[74,133],"realistic":[75],"description":[76],"propagation":[78],"features":[79],"than":[82,103],"SIR":[84,107],"model.":[85,108],"results":[88],"demonstrate":[89],"critical":[92],"threshold":[93,105],"\u03bbc":[94],"has":[99],"tiniest":[101],"increase":[102],"sooner":[110],"is":[114,157],"introduced,":[115],"less":[117],"negative":[118],"impact":[119],"will":[122],"bring.":[123],"also":[125],"get":[126],"result":[128],"networks":[131],"prone":[134],"rumors.":[139],"Additionally,":[140],"inhibition":[142],"spreading,":[145],"as":[146],"one":[147],"characteristics":[150],"new":[153],"itself,":[156],"instructive":[158],"later":[160],"studies":[161],"models":[166],"controlling":[169],"strategies.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}