{"id":"https://openalex.org/W2274964336","doi":"https://doi.org/10.1109/tsmc.2015.2448061","title":"Epidemic Threshold of an SIS Model in Dynamic Switching Networks","display_name":"Epidemic Threshold of an SIS Model in Dynamic Switching Networks","publication_year":2015,"publication_date":"2015-07-17","ids":{"openalex":"https://openalex.org/W2274964336","doi":"https://doi.org/10.1109/tsmc.2015.2448061","mag":"2274964336"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2015.2448061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2015.2448061","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1501.02472","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102774208","display_name":"Mohammad Reza Sanatkar","orcid":"https://orcid.org/0000-0002-9476-0806"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohammad Reza Sanatkar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110272170","display_name":"Warren N. White","orcid":null},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Warren N. White","raw_affiliation_strings":["Department of Mechanical and Nuclear Engineering, Kansas State University, Manhattan, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Nuclear Engineering, Kansas State University, Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003778401","display_name":"Balasubramaniam Natarajan","orcid":"https://orcid.org/0000-0001-6429-9003"},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Balasubramaniam Natarajan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012657096","display_name":"Caterina Scoglio","orcid":"https://orcid.org/0000-0003-4486-9229"},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Caterina M. Scoglio","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031918844","display_name":"Karen A. Garrett","orcid":"https://orcid.org/0000-0002-6578-1616"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karen A. Garrett","raw_affiliation_strings":["Institute for Sustainable Food Systems and Plant Pathology Department, University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Sustainable Food Systems and Plant Pathology Department, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5102774208"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":3.3675,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.92367262,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"46","issue":"3","first_page":"345","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11476","display_name":"Graph theory and applications","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9934999942779541,"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/epidemic-model","display_name":"Epidemic model","score":0.728516697883606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5134554505348206},{"id":"https://openalex.org/keywords/threshold-model","display_name":"Threshold model","score":0.5099807977676392},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4816085994243622},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.47997236251831055},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.4549826979637146},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4404730200767517},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.4342581629753113},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.42457205057144165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3301522433757782},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1529519259929657},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.1322152018547058},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12583765387535095},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07851836085319519}],"concepts":[{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.728516697883606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5134554505348206},{"id":"https://openalex.org/C202632270","wikidata":"https://www.wikidata.org/wiki/Q7798106","display_name":"Threshold model","level":2,"score":0.5099807977676392},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4816085994243622},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.47997236251831055},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.4549826979637146},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4404730200767517},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.4342581629753113},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42457205057144165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3301522433757782},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1529519259929657},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.1322152018547058},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12583765387535095},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07851836085319519},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsmc.2015.2448061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2015.2448061","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1501.02472","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1501.02472","pdf_url":"https://arxiv.org/pdf/1501.02472","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1501.02472","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1501.02472","pdf_url":"https://arxiv.org/pdf/1501.02472","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8700000047683716,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1494160116","https://openalex.org/W1499531078","https://openalex.org/W1501825524","https://openalex.org/W1584325681","https://openalex.org/W1830755055","https://openalex.org/W1914027636","https://openalex.org/W1914370899","https://openalex.org/W1967400268","https://openalex.org/W1975443659","https://openalex.org/W1975522802","https://openalex.org/W1976969221","https://openalex.org/W1980368307","https://openalex.org/W1986131165","https://openalex.org/W1993217673","https://openalex.org/W2000042664","https://openalex.org/W2008620264","https://openalex.org/W2029197563","https://openalex.org/W2032326995","https://openalex.org/W2035955342","https://openalex.org/W2046849060","https://openalex.org/W2064291152","https://openalex.org/W2071802245","https://openalex.org/W2073457560","https://openalex.org/W2079227289","https://openalex.org/W2103966928","https://openalex.org/W2110725936","https://openalex.org/W2112494680","https://openalex.org/W2116115649","https://openalex.org/W2118820208","https://openalex.org/W2120340025","https://openalex.org/W2123098252","https://openalex.org/W2132353593","https://openalex.org/W2135751550","https://openalex.org/W2143554828","https://openalex.org/W2151200985","https://openalex.org/W2160551933","https://openalex.org/W2165652385","https://openalex.org/W2169760521","https://openalex.org/W2905110430","https://openalex.org/W3103362336","https://openalex.org/W3142570770","https://openalex.org/W3143219376","https://openalex.org/W4242291765","https://openalex.org/W4252973173","https://openalex.org/W4256127285","https://openalex.org/W6658317214","https://openalex.org/W6793127252"],"related_works":["https://openalex.org/W3125750421","https://openalex.org/W2086397253","https://openalex.org/W2133122801","https://openalex.org/W600422426","https://openalex.org/W2007156430","https://openalex.org/W3081478936","https://openalex.org/W68147753","https://openalex.org/W2949765904","https://openalex.org/W4306949324","https://openalex.org/W2337954012"],"abstract_inverted_index":{"In":[0],"this":[1,19],"paper,":[2],"we":[3,24,153],"analyze":[4],"dynamic":[5,22,139,150,178],"switching":[6],"networks,":[7,23,119,152],"wherein":[8],"the":[9,30,49,53,59,69,82,105,115,120,135,156,162,173],"networks":[10,91,140,180],"switch":[11],"arbitrarily":[12],"among":[13],"a":[14],"set":[15],"of":[16,21,45,73,104,117,138],"topologies.":[17],"For":[18,149],"class":[20],"derive":[25,81],"an":[26,35],"epidemic":[27,32,36,54,83,106,122,136,157,163,174],"threshold,":[28,84],"considering":[29],"susceptible-infected-susceptible":[31],"model.":[33],"First,":[34],"probabilistic":[37],"model":[38],"is":[39,77,86,108,124,159,181],"developed":[40],"assuming":[41],"independence":[42],"between":[43],"states":[44],"nodes.":[46],"We":[47],"identify":[48],"conditions":[50],"under":[51],"which":[52,85],"dies":[55],"out":[56],"by":[57],"linearizing":[58],"underlying":[60],"dynamical":[61],"system":[62],"and":[63,99,184],"analyzing":[64],"its":[65],"asymptotic":[66],"stability":[67],"around":[68],"origin.":[70],"The":[71],"concept":[72],"joint":[74],"spectral":[75],"radius":[76],"then":[78],"used":[79],"to":[80,126,143,146,161],"later":[87],"validated":[88],"using":[89,186],"several":[90],"(Watts-Strogatz,":[92],"Barabasi-Albert,":[93],"MIT":[94],"reality":[95],"mining":[96],"graphs,":[97],"Regular,":[98],"Gilbert).":[100],"A":[101],"simplified":[102],"version":[103],"threshold":[107,123,137,158,164],"proposed":[109],"for":[110,134,165,172],"undirected":[111],"networks.":[112,148,168],"Moreover,":[113],"in":[114,177],"case":[116],"static":[118,166],"derived":[121,183],"shown":[125],"match":[127],"conventional":[128],"analytical":[129,132],"results.":[130],"Then,":[131],"results":[133],"are":[141],"proved":[142],"be":[144],"applicable":[145],"periodic":[147],"regular":[151,167],"demonstrate":[154],"that":[155],"identical":[160],"An":[169],"upper":[170],"bound":[171],"spread":[175],"probability":[176],"Gilbert":[179],"also":[182],"verified":[185],"simulation.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2025-10-10T00:00:00"}