{"id":"https://openalex.org/W4375929022","doi":"https://doi.org/10.1109/tnse.2023.3274298","title":"Convergence Speed and Robustness Analysis of Epidemic Spreading Processes with Time-Delay","display_name":"Convergence Speed and Robustness Analysis of Epidemic Spreading Processes with Time-Delay","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4375929022","doi":"https://doi.org/10.1109/tnse.2023.3274298"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2023.3274298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2023.3274298","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5017861188","display_name":"Saber Jafarizadeh","orcid":"https://orcid.org/0000-0003-1015-0101"},"institutions":[{"id":"https://openalex.org/I1301041018","display_name":"Rakuten (Japan)","ror":"https://ror.org/0098kke80","country_code":"JP","type":"company","lineage":["https://openalex.org/I1301041018"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Saber Jafarizadeh","raw_affiliation_strings":["Rakuten Institute of Technology, Rakuten Inc, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1015-0101","affiliations":[{"raw_affiliation_string":"Rakuten Institute of Technology, Rakuten Inc, Tokyo, Japan","institution_ids":["https://openalex.org/I1301041018"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017861188"],"corresponding_institution_ids":["https://openalex.org/I1301041018"],"apc_list":null,"apc_paid":null,"fwci":0.6452,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64355469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9983000159263611,"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":0.9983000159263611,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.9926000237464905,"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/robustness","display_name":"Robustness (evolution)","score":0.6494894027709961},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6443719863891602},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6299853324890137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5954002141952515},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.49330201745033264},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4742012619972229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44764184951782227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4098471403121948},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1322765052318573}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6494894027709961},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6443719863891602},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6299853324890137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5954002141952515},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.49330201745033264},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4742012619972229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44764184951782227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4098471403121948},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1322765052318573},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2023.3274298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2023.3274298","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W1878853999","https://openalex.org/W1914027636","https://openalex.org/W1979160659","https://openalex.org/W1985782993","https://openalex.org/W1992611645","https://openalex.org/W2022392384","https://openalex.org/W2026330614","https://openalex.org/W2045913546","https://openalex.org/W2060563023","https://openalex.org/W2063366119","https://openalex.org/W2072765534","https://openalex.org/W2084439805","https://openalex.org/W2086916865","https://openalex.org/W2089450265","https://openalex.org/W2101767080","https://openalex.org/W2110852762","https://openalex.org/W2113356174","https://openalex.org/W2118820208","https://openalex.org/W2133131640","https://openalex.org/W2150263186","https://openalex.org/W2151068888","https://openalex.org/W2161499589","https://openalex.org/W2170926923","https://openalex.org/W2183612419","https://openalex.org/W2278764121","https://openalex.org/W2341520567","https://openalex.org/W2526317073","https://openalex.org/W2739972002","https://openalex.org/W2771123011","https://openalex.org/W2783250069","https://openalex.org/W2805452184","https://openalex.org/W2906208022","https://openalex.org/W2907755207","https://openalex.org/W2914804271","https://openalex.org/W2941407859","https://openalex.org/W2961795247","https://openalex.org/W2963006107","https://openalex.org/W2963734869","https://openalex.org/W2963815167","https://openalex.org/W2964101545","https://openalex.org/W2991389000","https://openalex.org/W2998653593","https://openalex.org/W3000481134","https://openalex.org/W3087952899","https://openalex.org/W3099516190","https://openalex.org/W3103420451","https://openalex.org/W3105940665","https://openalex.org/W3111691981","https://openalex.org/W3121867824","https://openalex.org/W3133000305","https://openalex.org/W3135905855","https://openalex.org/W3153598886","https://openalex.org/W3158350785","https://openalex.org/W3186534655","https://openalex.org/W3186678873","https://openalex.org/W3206064313","https://openalex.org/W3216710574","https://openalex.org/W4214880424","https://openalex.org/W4226196909","https://openalex.org/W4235575843","https://openalex.org/W4250589301","https://openalex.org/W4285036910","https://openalex.org/W4294690773","https://openalex.org/W4313855747","https://openalex.org/W4320340146","https://openalex.org/W6672862109","https://openalex.org/W6676770938","https://openalex.org/W6747616199"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2567825307","https://openalex.org/W2054458431","https://openalex.org/W2115167491","https://openalex.org/W2799161558"],"abstract_inverted_index":{"The":[0,156],"networked":[1,21],"Susceptible-Infected-Susceptible":[2],"(SIS)":[3],"model":[4,8,23],"is":[5,27,47,88,126,129,190,196],"a":[6,48,69,77,82,121,141],"well-studied":[7],"for":[9,100,148,173],"epidemic":[10],"spreading":[11],"processes":[12],"in":[13,19],"complex":[14],"networks.":[15],"A":[16],"critical":[17],"problem":[18,64,72,125],"the":[20,31,36,51,60,91,149,153,159,176,193,199,202,209,212,216,220],"SIS":[22],"with":[24,73],"time":[25,43,85],"delay":[26,44],"to":[28,35,42,164],"simultaneously":[29],"optimize":[30],"network's":[32,179],"convergence":[33,79,160,194],"rate":[34,80,161,195],"healthy":[37],"state":[38],"and":[39,81,104,162,211],"its":[40],"robustness":[41,163],"while":[45],"there":[46],"constraint":[49],"on":[50,181],"total":[52],"curing":[53],"resources":[54],"that":[55,90],"can":[56],"be":[57],"utilized":[58],"throughout":[59],"network.":[61],"Here,":[62],"this":[63,182],"has":[65,145,166,184],"been":[66,111,146,167,185],"derived":[67,112],"as":[68],"multi-objective":[70],"optimization":[71,124],"additional":[74],"constraints":[75],"guaranteeing":[76],"minimum":[78],"maximum":[83],"tolerable":[84],"delay.":[86],"It":[87],"shown":[89,191],"problem's":[92],"Pareto":[93,154,217],"frontier":[94,218],"consists":[95],"of":[96,152,178,201,208,215],"three":[97],"segments,":[98],"where":[99],"complete":[101],"bipartite":[102,134],"network":[103],"uniform":[105],"infection":[106],"rates":[107],"their":[108],"details":[109],"have":[110],"analytically.":[113],"By":[114],"incorporating":[115],"both":[116],"objective":[117],"functions":[118],"into":[119],"one,":[120],"corresponding":[122],"convex":[123,142],"developed,":[127],"which":[128],"solved":[130],"over":[131],"tree":[132],"reducible":[133],"networks,":[135,175],"using":[136],"semidefinite":[137],"programming":[138],"(SDP).":[139],"Furthermore,":[140],"combination":[143],"approximation":[144],"provided":[147],"second":[150],"segment":[151,214],"frontier.":[155],"trade-off":[157,183],"between":[158],"time-delay":[165],"demonstrated":[168],"via":[169],"numerical":[170],"simulations,":[171],"where,":[172],"scale-free":[174],"impact":[177],"size":[180],"investigated":[186],"numerically.":[187],"Additionally,":[188],"it":[189],"how":[192],"dictated":[197],"by":[198],"eigenvalue":[200],"<inline-formula":[203],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[204],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[205],"notation=\"LaTeX\">$M$</tex-math></inline-formula>":[206],"-matrix":[207],"network,":[210],"first":[213],"provides":[219],"most":[221],"diverse":[222],"results.":[223]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
