{"id":"https://openalex.org/W3088974594","doi":"https://doi.org/10.1155/2020/3457068","title":"Dynamics Analysis of a Betel Nut Addiction Spreading Model on Scale-Free Networks","display_name":"Dynamics Analysis of a Betel Nut Addiction Spreading Model on Scale-Free Networks","publication_year":2020,"publication_date":"2020-09-27","ids":{"openalex":"https://openalex.org/W3088974594","doi":"https://doi.org/10.1155/2020/3457068","mag":"3088974594"},"language":"en","primary_location":{"id":"doi:10.1155/2020/3457068","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/3457068","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/3457068.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/3457068.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053792879","display_name":"He Wang","orcid":"https://orcid.org/0000-0001-7196-4913"},"institutions":[{"id":"https://openalex.org/I177739611","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54","country_code":"CN","type":"education","lineage":["https://openalex.org/I177739611"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"He Wang","raw_affiliation_strings":["School of Electronics and Information, Yangtze University, Jingzhou 434023, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Yangtze University, Jingzhou 434023, China","institution_ids":["https://openalex.org/I177739611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059125522","display_name":"Tao Li","orcid":"https://orcid.org/0000-0001-7431-9493"},"institutions":[{"id":"https://openalex.org/I177739611","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54","country_code":"CN","type":"education","lineage":["https://openalex.org/I177739611"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Li","raw_affiliation_strings":["National Demonstration Center for Experimental Electrical and Electronic Education, Yangtze University, Jingzhou 434023, China","School of Electronics and Information, Yangtze University, Jingzhou 434023, China"],"affiliations":[{"raw_affiliation_string":"National Demonstration Center for Experimental Electrical and Electronic Education, Yangtze University, Jingzhou 434023, China","institution_ids":["https://openalex.org/I177739611"]},{"raw_affiliation_string":"School of Electronics and Information, Yangtze University, Jingzhou 434023, China","institution_ids":["https://openalex.org/I177739611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101137118","display_name":"Xin\u2010Ming Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinming Cheng","raw_affiliation_strings":["School of Automation, Central South University, Changsha 410083, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100850400","display_name":"Yu Kong","orcid":null},"institutions":[{"id":"https://openalex.org/I177739611","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54","country_code":"CN","type":"education","lineage":["https://openalex.org/I177739611"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Kong","raw_affiliation_strings":["School of Electronics and Information, Yangtze University, Jingzhou 434023, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Yangtze University, Jingzhou 434023, China","institution_ids":["https://openalex.org/I177739611"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032731367","display_name":"Yangmei Lei","orcid":null},"institutions":[{"id":"https://openalex.org/I177739611","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54","country_code":"CN","type":"education","lineage":["https://openalex.org/I177739611"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangmei Lei","raw_affiliation_strings":["School of Electronics and Information, Yangtze University, Jingzhou 434023, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Yangtze University, Jingzhou 434023, China","institution_ids":["https://openalex.org/I177739611"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5059125522"],"corresponding_institution_ids":["https://openalex.org/I177739611"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.1784,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56094994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13798","display_name":"Hops Chemistry and Applications","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/3004","display_name":"Pharmacology"},"field":{"id":"https://openalex.org/fields/30","display_name":"Pharmacology, Toxicology and Pharmaceutics"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13798","display_name":"Hops Chemistry and Applications","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/3004","display_name":"Pharmacology"},"field":{"id":"https://openalex.org/fields/30","display_name":"Pharmacology, Toxicology and Pharmaceutics"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10494","display_name":"Plant Virus Research Studies","score":0.9595999717712402,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11048","display_name":"Bacteriophages and microbial interactions","score":0.9140999913215637,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.605151355266571},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5985876321792603},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4661515951156616},{"id":"https://openalex.org/keywords/addiction","display_name":"Addiction","score":0.42650842666625977},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.39779335260391235},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.17683866620063782},{"id":"https://openalex.org/keywords/psychiatry","display_name":"Psychiatry","score":0.09353628754615784}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.605151355266571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5985876321792603},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4661515951156616},{"id":"https://openalex.org/C48856860","wikidata":"https://www.wikidata.org/wiki/Q12029","display_name":"Addiction","level":2,"score":0.42650842666625977},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.39779335260391235},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.17683866620063782},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.09353628754615784}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/3457068","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/3457068","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/3457068.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:3457068","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/3457068.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:7b017382439a4c22a5b277272fbfe1f9","is_oa":true,"landing_page_url":"https://doaj.org/article/7b017382439a4c22a5b277272fbfe1f9","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":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/3457068","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/3457068","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/3457068","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/3457068","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/3457068.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G1167451160","display_name":null,"funder_award_id":"61873287","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4314423352","display_name":null,"funder_award_id":"61672112","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4765083334","display_name":null,"funder_award_id":"618732","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8912315176","display_name":null,"funder_award_id":"6187328","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3088974594.pdf","grobid_xml":"https://content.openalex.org/works/W3088974594.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1965807669","https://openalex.org/W1986095376","https://openalex.org/W1999575578","https://openalex.org/W2004234057","https://openalex.org/W2008620264","https://openalex.org/W2015345099","https://openalex.org/W2023937863","https://openalex.org/W2025050756","https://openalex.org/W2026778032","https://openalex.org/W2032259296","https://openalex.org/W2037722903","https://openalex.org/W2038195874","https://openalex.org/W2039155271","https://openalex.org/W2040526706","https://openalex.org/W2040661537","https://openalex.org/W2068622780","https://openalex.org/W2081408272","https://openalex.org/W2083157947","https://openalex.org/W2112680994","https://openalex.org/W2123181646","https://openalex.org/W2124637492","https://openalex.org/W2161499589","https://openalex.org/W2162766713","https://openalex.org/W2418507128","https://openalex.org/W2461622860","https://openalex.org/W2584100491","https://openalex.org/W2602217767","https://openalex.org/W2773997905","https://openalex.org/W2892792452","https://openalex.org/W2898369476","https://openalex.org/W2981602777"],"related_works":["https://openalex.org/W2961085424","https://openalex.org/W4306674287","https://openalex.org/W3046775127","https://openalex.org/W3107602296","https://openalex.org/W3170094116","https://openalex.org/W4386462264","https://openalex.org/W3209574120","https://openalex.org/W4364306694","https://openalex.org/W4312192474","https://openalex.org/W4283697347"],"abstract_inverted_index":{"Medical":[0],"research":[1],"has":[2],"shown":[3],"that":[4,104,143],"overeating":[5],"betel":[6,32,62,74,80,160],"nut":[7,33,63,75,81,161],"can":[8,12],"be":[9],"addictive":[10],"and":[11,22,53,97,122,166],"damage":[13],"health.":[14],"More":[15],"serious":[16],"cases":[17],"may":[18,34],"cause":[19],"mouth":[20],"cancer":[21],"other":[23,37],"diseases.":[24],"Even":[25],"worse,":[26],"people\u2019s":[27],"behavior":[28],"habit":[29],"of":[30,61,73,118,128],"chewing":[31],"influence":[35,124],"each":[36],"through":[38],"social":[39],"interaction":[40],"with":[41],"direct":[42],"or":[43],"indirect":[44],"ways,":[45],"such":[46],"as":[47],"face-to-face":[48],"communication,":[49],"Facebook,":[50],"Twitter,":[51],"microblog,":[52],"WeChat,":[54],"which":[55],"leads":[56],"to":[57,67],"the":[58,69,105,116,119,133,148,159,167,177],"spreading":[59,71,83,163],"phenomenon":[60],"addiction.":[64],"In":[65],"order":[66],"investigate":[68],"dynamic":[70],"characteristics":[72],"addiction,":[76],"a":[77],"PMSR":[78],"(Potential-Mild-Severe-Recovered)":[79],"addiction":[82,162],"model":[84],"is":[85,112,130,151,164,170],"presented":[86],"on":[87,115],"scale-free":[88],"networks.":[89],"The":[90,126],"basic":[91,106,134],"reproductive":[92,107,135],"number":[93,108,136],"<mml:math":[94,109,137,145,156],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[95,110,138,146,157],"id=\"M1\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math>":[96],"equilibria":[98,129],"are":[99],"derived.":[100],"Theoretical":[101],"results":[102],"indicate":[103],"id=\"M2\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math>":[111],"significantly":[113],"dependent":[114],"topology":[117],"underlying":[120],"networks,":[121],"some":[123],"parameters.":[125],"existence":[127],"determined":[131],"by":[132],"id=\"M3\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math>.":[139],"Furthermore,":[140],"we":[141],"prove":[142],"if":[144],"id=\"M4\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn></mml:math>":[147],"addiction-elimination":[149],"equilibrium":[150,169],"globally":[152,171],"asymptotically":[153],"stable.":[154],"If":[155],"id=\"M5\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn>1</mml:mn></mml:math>,":[158],"permanent,":[165],"addiction-prevailing":[168],"attractive.":[172],"Finally,":[173],"numerical":[174],"simulations":[175],"confirm":[176],"theoretical":[178],"analysis":[179],"results.":[180]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
