{"id":"https://openalex.org/W4402592593","doi":"https://doi.org/10.1109/lcsys.2024.3463499","title":"On a Discrete-Time Networked Epidemic Model With Time-Varying Heterogeneous Delays","display_name":"On a Discrete-Time Networked Epidemic Model With Time-Varying Heterogeneous Delays","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4402592593","doi":"https://doi.org/10.1109/lcsys.2024.3463499"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3463499","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3463499","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5100683476","display_name":"Fangzhou Liu","orcid":"https://orcid.org/0000-0002-1275-4809"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangzhou Liu","raw_affiliation_strings":["Research Institute of Intelligent Control and Systems, School of Astronautics, Harbin Institute of Technology, Harbin, China","School of Astronautics, Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-1275-4809","affiliations":[{"raw_affiliation_string":"Research Institute of Intelligent Control and Systems, School of Astronautics, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Astronautics, Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013809251","display_name":"Lei Shi","orcid":"https://orcid.org/0000-0002-9826-7402"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Shi","raw_affiliation_strings":["School of Artificial Intelligence, Henan University, Zhengzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-9826-7402","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Henan University, Zhengzhou, China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079963758","display_name":"Jinliang Shao","orcid":"https://orcid.org/0000-0002-2508-7451"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinliang Shao","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-2508-7451","affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054350814","display_name":"Qingchen Liu","orcid":"https://orcid.org/0000-0002-5892-3591"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingchen Liu","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-5892-3591","affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1901159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"2289","last_page":"2294"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13283","display_name":"Mental Health Research Topics","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13283","display_name":"Mental Health Research Topics","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9815000295639038,"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":0.9782000184059143,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.7193797826766968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5456713438034058},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4585869014263153},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.3553061783313751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2339147925376892},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1630258560180664},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15288445353507996},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.07999244332313538}],"concepts":[{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.7193797826766968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5456713438034058},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4585869014263153},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.3553061783313751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2339147925376892},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1630258560180664},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15288445353507996},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.07999244332313538},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2024.3463499","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3463499","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G5426960617","display_name":null,"funder_award_id":"62273077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6837449515","display_name":null,"funder_award_id":"62373123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7487646668","display_name":null,"funder_award_id":"2024NSFJQ0013","funder_id":"https://openalex.org/F4320329861","funder_display_name":"Natural Science Foundation of Sichuan Province"},{"id":"https://openalex.org/G943937595","display_name":null,"funder_award_id":"241111211200","funder_id":"https://openalex.org/F4320327827","funder_display_name":"Key Research and Development Project of Hainan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327827","display_name":"Key Research and Development Project of Hainan Province","ror":null},{"id":"https://openalex.org/F4320329861","display_name":"Natural Science Foundation of Sichuan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1987662905","https://openalex.org/W2000940858","https://openalex.org/W2148301044","https://openalex.org/W2172286141","https://openalex.org/W2584686170","https://openalex.org/W2763057943","https://openalex.org/W2803231706","https://openalex.org/W2898150800","https://openalex.org/W2907755207","https://openalex.org/W2963486284","https://openalex.org/W2979394158","https://openalex.org/W2999203289","https://openalex.org/W3003573988","https://openalex.org/W3014574026","https://openalex.org/W3018782651","https://openalex.org/W3041333867","https://openalex.org/W3152723078","https://openalex.org/W3212731684","https://openalex.org/W3212949130","https://openalex.org/W4287831999","https://openalex.org/W4380714792","https://openalex.org/W4387363440","https://openalex.org/W4392951952","https://openalex.org/W4398200352","https://openalex.org/W6852529050"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W2382290278","https://openalex.org/W4395014643"],"abstract_inverted_index":{"Delays":[0],"caused":[1],"by":[2,102],"the":[3,14,40,46,54,58,69,84,87,90],"incubation":[4],"period":[5],"of":[6,16,57,71,86],"an":[7,72],"infectious":[8],"disease":[9],"are":[10,100],"inevitable":[11],"in":[12,22,45],"modeling":[13],"spreading":[15],"a":[17,27,60,79],"real":[18],"epidemic.":[19],"With":[20],"this":[21,38,77],"mind,":[23],"our":[24],"note":[25],"proposes":[26],"novel":[28],"discrete-time":[29],"networked":[30],"susceptible-infected-susceptible":[31],"(SIS)":[32],"epidemic":[33],"model":[34,88],"with":[35],"delays.":[36],"In":[37],"model,":[39,59],"independent":[41],"edge-based":[42],"time":[43],"delay":[44],"network":[47],"is":[48,65,94],"time-varying":[49],"and":[50],"heterogeneous.":[51],"To":[52],"prove":[53],"asymptotic":[55],"stability":[56],"super-stochastic":[61],"matrix":[62],"based":[63],"method":[64],"proposed":[66],"to":[67,89],"analyze":[68],"convergence":[70,85],"infinite":[73],"product.":[74],"By":[75],"using":[76],"method,":[78],"sufficient":[80],"algebraic":[81],"condition":[82],"for":[83],"disease-free":[91],"equilibrium":[92],"point":[93],"established.":[95],"The":[96],"theoretical":[97],"results":[98],"obtained":[99],"verified":[101],"numerical":[103],"simulations.":[104]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}