{"id":"https://openalex.org/W4312080158","doi":"https://doi.org/10.1142/s0218127422502285","title":"Dynamics of a Discrete Lotka\u2013Volterra Information Diffusion Model","display_name":"Dynamics of a Discrete Lotka\u2013Volterra Information Diffusion Model","publication_year":2022,"publication_date":"2022-12-15","ids":{"openalex":"https://openalex.org/W4312080158","doi":"https://doi.org/10.1142/s0218127422502285"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127422502285","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422502285","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/A5042763522","display_name":"Mingshan Li","orcid":"https://orcid.org/0000-0002-4067-1760"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingshan Li","raw_affiliation_strings":["College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, P. R. China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066476486","display_name":"Naiming Xie","orcid":"https://orcid.org/0000-0002-7368-1746"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Naiming Xie","raw_affiliation_strings":["College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-7368-1746","affiliations":[{"raw_affiliation_string":"College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, P. R. China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064243689","display_name":"Ran Zhang","orcid":"https://orcid.org/0000-0002-8870-5958"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Zhang","raw_affiliation_strings":["School of Mathematical Science, Heilongjiang University, Harbin, Heilongjiang 150080, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, Heilongjiang 150080, P. R. China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017612462","display_name":"Xiaojun Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojun Huang","raw_affiliation_strings":["School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, Guangdong 524048, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, Guangdong 524048, P. R. China","institution_ids":["https://openalex.org/I154833797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5066476486"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":0.3755,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58707416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"32","issue":"15","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9991000294685364,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9991000294685364,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9984999895095825,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.6948195695877075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.631643533706665},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6017414331436157},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.577427864074707},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5115852952003479},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.48649996519088745},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.4647125005722046},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4581831991672516},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.4341300129890442},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4266451299190521},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4234873652458191},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36221253871917725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3108128607273102},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2808077931404114},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.21015381813049316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1567085087299347},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11521264910697937}],"concepts":[{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6948195695877075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.631643533706665},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6017414331436157},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.577427864074707},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5115852952003479},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.48649996519088745},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.4647125005722046},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4581831991672516},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.4341300129890442},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4266451299190521},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4234873652458191},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36221253871917725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3108128607273102},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2808077931404114},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.21015381813049316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1567085087299347},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11521264910697937},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127422502285","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422502285","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/G1228444829","display_name":null,"funder_award_id":"NP2020022","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1956056983","display_name":null,"funder_award_id":"71871117","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G335770145","display_name":null,"funder_award_id":"12101309","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4329324159","display_name":null,"funder_award_id":"71671090","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8973916133","display_name":null,"funder_award_id":"72171116","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/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1564263151","https://openalex.org/W1596321532","https://openalex.org/W1944410397","https://openalex.org/W1973292853","https://openalex.org/W1994473607","https://openalex.org/W2008345063","https://openalex.org/W2018998261","https://openalex.org/W2042123098","https://openalex.org/W2062561492","https://openalex.org/W2070744295","https://openalex.org/W2089876099","https://openalex.org/W2090249044","https://openalex.org/W2128546892","https://openalex.org/W2177882997","https://openalex.org/W2505749709","https://openalex.org/W2770319263","https://openalex.org/W2772581799","https://openalex.org/W2884380745","https://openalex.org/W2887941874","https://openalex.org/W2917376486","https://openalex.org/W2923788693","https://openalex.org/W2945880697","https://openalex.org/W2946894154","https://openalex.org/W2981865518","https://openalex.org/W2990187375","https://openalex.org/W3000291008","https://openalex.org/W3082139969","https://openalex.org/W3093103264","https://openalex.org/W3093695082","https://openalex.org/W3135432498","https://openalex.org/W3154843831","https://openalex.org/W3176614413","https://openalex.org/W4213264637","https://openalex.org/W4220689618","https://openalex.org/W4221087086"],"related_works":["https://openalex.org/W2135344033","https://openalex.org/W2377091912","https://openalex.org/W2078978596","https://openalex.org/W2389890570","https://openalex.org/W2042237041","https://openalex.org/W2394226414","https://openalex.org/W2783771722","https://openalex.org/W4246831092","https://openalex.org/W2980330850","https://openalex.org/W2029988578"],"abstract_inverted_index":{"To":[0],"explore":[1,51],"the":[2,15,25,29,40,52,62,89,98,107,115,119,129,135,138,143,148,165,173,184,190,209,212,218,224],"process":[3],"of":[4,17,42,57,61,109,122,137,211,220],"online":[5],"social":[6],"network":[7],"information":[8,21,204,221],"interaction,":[9],"in":[10],"this":[11],"paper,":[12],"we":[13,50,207],"analyze":[14],"dynamics":[16],"a":[18,45,76,102],"discrete":[19],"Lotka\u2013Volterra":[20],"diffusion":[22,222],"model.":[23],"Using":[24],"center":[26],"manifold":[27],"theorem,":[28],"conditions":[30],"for":[31,82,105],"transcritical":[32],"bifurcation":[33,36],"and":[34,47,55,78,92,161,217],"flip":[35],"are":[37,86,157,228],"obtained.":[38],"With":[39],"help":[41],"approximation":[43],"by":[44,214,230],"flow":[46],"Picard":[48],"iteration,":[49],"qualitative":[53,80,99],"structures":[54,100],"stability":[56,108],"degenerate":[58,94,110,123,225],"fixed":[59,83,111,124,226],"point":[60,125,227],"model":[63,213],"with":[64,200],"eigenvalues":[65],"[Formula:":[66],"see":[67],"text].":[68],"What\u2019s":[69],"interesting":[70],"is":[71,132,169],"that":[72,127],"our":[73],"results":[74,121,210],"reveal":[75],"new":[77,103,201],"complex":[79],"structure":[81],"point,":[84],"which":[85,197],"different":[87],"from":[88],"previous":[90],"reports":[91],"called":[93],"saddle":[95],"point.":[96,112],"Additionally,":[97],"provide":[101,198],"idea":[104],"investigation":[106],"Meanwhile,":[113],"near":[114,223],"maximum":[116,139,185],"user":[117,140,145,150,175,186,192],"density,":[118,141],"dynamic":[120],"indicate":[126],"if":[128],"intervention":[130],"rate":[131,168],"greater":[133,170],"than":[134,171],"inverse":[136],"then":[142],"higher":[144],"density":[146,151,176,187,193],"decreases,":[147],"lower":[149],"increases":[152],"when":[153,164],"intrinsic":[154,166],"growth":[155,167],"rates":[156],"small":[158,191],"(between":[159],"0":[160],"2).":[162],"However,":[163],"2,":[172],"high":[174],"will":[177,194],"continue":[178],"to":[179],"increase":[180],"until":[181],"it":[182],"approaches":[183],"indefinitely,":[188],"while":[189],"approach":[195],"0,":[196],"us":[199],"insights":[202],"into":[203],"diffusion.":[205],"Finally,":[206],"show":[208],"numerical":[215],"simulations,":[216],"characteristics":[219],"predicted":[229],"theoretical":[231],"analysis.":[232]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}