{"id":"https://openalex.org/W2999090735","doi":"https://doi.org/10.1155/2020/3578390","title":"Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy","display_name":"Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy","publication_year":2020,"publication_date":"2020-01-13","ids":{"openalex":"https://openalex.org/W2999090735","doi":"https://doi.org/10.1155/2020/3578390","mag":"2999090735"},"language":"en","primary_location":{"id":"doi:10.1155/2020/3578390","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/3578390","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/3578390.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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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/2020/3578390.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jiying Lai","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119042","display_name":"Gannan Normal University","ror":"https://ror.org/02jf7e446","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiying Lai","raw_affiliation_strings":["Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China","institution_ids":["https://openalex.org/I4210119042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023761069","display_name":"Shujing Gao","orcid":"https://orcid.org/0000-0002-4461-5061"},"institutions":[{"id":"https://openalex.org/I4210119042","display_name":"Gannan Normal University","ror":"https://ror.org/02jf7e446","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shujing Gao","raw_affiliation_strings":["Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China"],"raw_orcid":"https://orcid.org/0000-0002-4461-5061","affiliations":[{"raw_affiliation_string":"Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China","institution_ids":["https://openalex.org/I4210119042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056005879","display_name":"Yujiang Liu","orcid":"https://orcid.org/0000-0002-9631-1123"},"institutions":[{"id":"https://openalex.org/I4210119042","display_name":"Gannan Normal University","ror":"https://ror.org/02jf7e446","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujiang Liu","raw_affiliation_strings":["Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China","institution_ids":["https://openalex.org/I4210119042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019874854","display_name":"Xinzhu Meng","orcid":"https://orcid.org/0000-0002-6553-9686"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinzhu Meng","raw_affiliation_strings":["College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China"],"raw_orcid":"https://orcid.org/0000-0002-6553-9686","affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023761069"],"corresponding_institution_ids":["https://openalex.org/I4210119042"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":5.1025,"has_fulltext":true,"cited_by_count":41,"citation_normalized_percentile":{"value":0.95327323,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10400","display_name":"Network Security and Intrusion Detection","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10400","display_name":"Network Security and Intrusion Detection","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11644","display_name":"Spam and Phishing Detection","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quarantine","display_name":"Quarantine","score":0.7834399938583374},{"id":"https://openalex.org/keywords/the-internet","display_name":"The Internet","score":0.7446115612983704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6428978443145752},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.5815129280090332},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4820874035358429},{"id":"https://openalex.org/keywords/malware","display_name":"Malware","score":0.45516857504844666},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44495195150375366},{"id":"https://openalex.org/keywords/internet-privacy","display_name":"Internet privacy","score":0.33105218410491943},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.15838590264320374},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.13785552978515625},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.11784490942955017},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06809720396995544},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.061191439628601074}],"concepts":[{"id":"https://openalex.org/C2781402358","wikidata":"https://www.wikidata.org/wiki/Q182899","display_name":"Quarantine","level":2,"score":0.7834399938583374},{"id":"https://openalex.org/C110875604","wikidata":"https://www.wikidata.org/wiki/Q75","display_name":"The Internet","level":2,"score":0.7446115612983704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6428978443145752},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.5815129280090332},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4820874035358429},{"id":"https://openalex.org/C541664917","wikidata":"https://www.wikidata.org/wiki/Q14001","display_name":"Malware","level":2,"score":0.45516857504844666},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44495195150375366},{"id":"https://openalex.org/C108827166","wikidata":"https://www.wikidata.org/wiki/Q175975","display_name":"Internet privacy","level":1,"score":0.33105218410491943},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.15838590264320374},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.13785552978515625},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.11784490942955017},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06809720396995544},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.061191439628601074},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/3578390","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/3578390","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/3578390.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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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:3578390","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/3578390.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:f72c7902ea3e44918f8fcc93e17e1a41","is_oa":true,"landing_page_url":"https://doaj.org/article/f72c7902ea3e44918f8fcc93e17e1a41","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":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/3578390","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/3578390","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/3578390.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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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":0.8100000023841858,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G2453791229","display_name":null,"funder_award_id":"20192BCBL20004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2502845825","display_name":null,"funder_award_id":"11561004","funder_id":"https://openalex.org/F4320322665","funder_display_name":"Natural Science Foundation of Jiangxi Province"},{"id":"https://openalex.org/G3140781844","display_name":"\u67d1\u6a58\u6728\u8671\u7684\u6297\u6027\u4e0e\u4ea4\u4e92\u6297\u6027\u6cbb\u7406\u7684\u6570\u5b66\u5efa\u6a21\u53ca\u5176\u7efc\u5408\u63a7\u5236\u7814\u7a76","funder_award_id":"11961003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3653059383","display_name":null,"funder_award_id":"11901110","funder_id":"https://openalex.org/F4320322665","funder_display_name":"Natural Science Foundation of Jiangxi Province"},{"id":"https://openalex.org/G4034677221","display_name":null,"funder_award_id":"11961003","funder_id":"https://openalex.org/F4320322665","funder_display_name":"Natural Science Foundation of Jiangxi Province"},{"id":"https://openalex.org/G541891008","display_name":null,"funder_award_id":"11901110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6390972159","display_name":null,"funder_award_id":"20192BCBL20004","funder_id":"https://openalex.org/F4320322665","funder_display_name":"Natural Science Foundation of Jiangxi Province"},{"id":"https://openalex.org/G7225962297","display_name":"\u67d1\u6a58\u9ec4\u9f99\u75c5\u7684\u6570\u5b66\u5efa\u6a21\u53ca\u5176\u7efc\u5408\u6cbb\u7406\u7814\u7a76\u2500\u2500\u4ee5\u8d63\u5357\u8110\u6a59\u4e3a\u4f8b","funder_award_id":"11561004","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/F4320322665","display_name":"Natural Science Foundation of Jiangxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2999090735.pdf","grobid_xml":"https://content.openalex.org/works/W2999090735.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1973516775","https://openalex.org/W1976977230","https://openalex.org/W2004067489","https://openalex.org/W2009028434","https://openalex.org/W2015402967","https://openalex.org/W2023643904","https://openalex.org/W2028822063","https://openalex.org/W2031006315","https://openalex.org/W2081182561","https://openalex.org/W2081564382","https://openalex.org/W2093488494","https://openalex.org/W2108496189","https://openalex.org/W2148301044","https://openalex.org/W2275732351","https://openalex.org/W2882971977"],"related_works":["https://openalex.org/W4207026480","https://openalex.org/W2389244961","https://openalex.org/W4245795034","https://openalex.org/W2097492617","https://openalex.org/W4245615770","https://openalex.org/W2171032247","https://openalex.org/W2753240997","https://openalex.org/W2036033912","https://openalex.org/W2051622558","https://openalex.org/W2374745053"],"abstract_inverted_index":{"The":[0],"issue":[1],"on":[2,43],"how":[3],"to":[4,16,19,23,33,38],"effectively":[5],"control":[6],"Internet":[7],"malicious":[8,28,103],"worms":[9],"has":[10],"been":[11],"drawn":[12],"significant":[13],"attention":[14],"owing":[15],"enormous":[17],"threats":[18],"the":[20,24,35,41,44,69,77,80,86,100],"Internet.":[21,45],"Due":[22],"rapid":[25],"spreading":[26],"of":[27,72,79,88,102],"worms,":[29],"it":[30],"is":[31,54],"necessary":[32],"explore":[34],"integrated":[36],"measures":[37],"automatically":[39],"mitigate":[40],"propagation":[42,52,101],"In":[46],"this":[47],"paper,":[48],"a":[49],"novel":[50],"worm":[51,63,82,104],"model":[53],"established,":[55],"which":[56],"combines":[57],"both":[58],"impulsive":[59],"quarantine":[60,89],"and":[61,76,93],"benign":[62,81],"implementation.":[64],"Then,":[65],"sufficient":[66],"conditions":[67],"for":[68],"global":[70],"stability":[71],"worm-free":[73],"periodic":[74],"solution":[75],"permanence":[78],"are":[83,91,105],"obtained.":[84],"Finally,":[85],"effects":[87],"strategy":[90],"assessed":[92],"some":[94],"feasible":[95],"strategies":[96],"that":[97],"can":[98],"constrain":[99],"provided":[106],"by":[107],"numerical":[108],"simulation.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":9}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}