{"id":"https://openalex.org/W4382935953","doi":"https://doi.org/10.23919/acc55779.2023.10156599","title":"On the Endemic Behavior of a Competitive Tri-Virus SIS Networked Model","display_name":"On the Endemic Behavior of a Competitive Tri-Virus SIS Networked Model","publication_year":2023,"publication_date":"2023-05-31","ids":{"openalex":"https://openalex.org/W4382935953","doi":"https://doi.org/10.23919/acc55779.2023.10156599"},"language":"en","primary_location":{"id":"doi:10.23919/acc55779.2023.10156599","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc55779.2023.10156599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 American Control Conference (ACC)","raw_type":"proceedings-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/A5011689013","display_name":"Sebin Gracy","orcid":"https://orcid.org/0000-0002-2136-3957"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sebin Gracy","raw_affiliation_strings":["Rice University,ECE Department,Houston,TX,USA","ECE Department, Rice University, Houston, TX, USA"],"affiliations":[{"raw_affiliation_string":"Rice University,ECE Department,Houston,TX,USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"ECE Department, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061769343","display_name":"Mengbin Ye","orcid":"https://orcid.org/0000-0003-1698-0173"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mengbin Ye","raw_affiliation_strings":["Curtin University,School of Electrical Engineering, Computing and Mathematical Sciences,Australia","School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Australia"],"affiliations":[{"raw_affiliation_string":"Curtin University,School of Electrical Engineering, Computing and Mathematical Sciences,Australia","institution_ids":["https://openalex.org/I205640436"]},{"raw_affiliation_string":"School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015736743","display_name":"Brian D. O. Anderson","orcid":"https://orcid.org/0000-0002-1493-4774"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Brian D.O. Anderson","raw_affiliation_strings":["Australian National University,School of Engineering,Canberra,Australia","School of Engineering, Australian National University, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Australian National University,School of Engineering,Canberra,Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"School of Engineering, Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047076392","display_name":"C\u00e9sar A. Uribe","orcid":"https://orcid.org/0000-0002-7080-9724"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C\u00e9sar A. Uribe","raw_affiliation_strings":["Rice University,ECE Department,Houston,TX,USA","ECE Department, Rice University, Houston, TX, USA"],"affiliations":[{"raw_affiliation_string":"Rice University,ECE Department,Houston,TX,USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"ECE Department, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011689013"],"corresponding_institution_ids":["https://openalex.org/I74775410"],"apc_list":null,"apc_paid":null,"fwci":0.8855,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74588922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2313","last_page":"2318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9980999827384949,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6301820874214172},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6246833205223083},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5509485602378845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4662196934223175},{"id":"https://openalex.org/keywords/virus","display_name":"Virus","score":0.4532545208930969},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4327894449234009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4206284284591675},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4197153151035309},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.41305607557296753},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2224748730659485},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.19540375471115112},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17095234990119934},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.15328088402748108},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1198752224445343},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09144574403762817}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6301820874214172},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6246833205223083},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5509485602378845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4662196934223175},{"id":"https://openalex.org/C2522874641","wikidata":"https://www.wikidata.org/wiki/Q808","display_name":"Virus","level":2,"score":0.4532545208930969},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4327894449234009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4206284284591675},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4197153151035309},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.41305607557296753},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2224748730659485},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.19540375471115112},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17095234990119934},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.15328088402748108},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1198752224445343},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09144574403762817},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc55779.2023.10156599","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc55779.2023.10156599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W15545185","https://openalex.org/W1914370899","https://openalex.org/W1985782993","https://openalex.org/W2016382979","https://openalex.org/W2063366119","https://openalex.org/W2110891892","https://openalex.org/W2118820208","https://openalex.org/W2136020357","https://openalex.org/W2161499589","https://openalex.org/W2161728228","https://openalex.org/W2314043858","https://openalex.org/W2782383464","https://openalex.org/W2895594331","https://openalex.org/W2962976446","https://openalex.org/W2963734869","https://openalex.org/W2963815167","https://openalex.org/W2964101545","https://openalex.org/W3035235874","https://openalex.org/W3046096033","https://openalex.org/W3083069389","https://openalex.org/W3102107228","https://openalex.org/W3103386405","https://openalex.org/W3109882943","https://openalex.org/W3164433146","https://openalex.org/W3213154861","https://openalex.org/W4291910545","https://openalex.org/W4312944889","https://openalex.org/W4382935953","https://openalex.org/W6635146029","https://openalex.org/W6785406511","https://openalex.org/W6843244718"],"related_works":["https://openalex.org/W2963936214","https://openalex.org/W4301895170","https://openalex.org/W2610026222","https://openalex.org/W2012531322","https://openalex.org/W2402761219","https://openalex.org/W2784024314","https://openalex.org/W1970485118","https://openalex.org/W2785900585","https://openalex.org/W2353730437","https://openalex.org/W4249252985"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,17,32,61,73,99,111,114],"endemic":[3],"behavior":[4],"of":[5,79,82,113,121],"a":[6,44,52,68,80,94,119],"multi-competitive":[7],"networked":[8],"susceptible-infected-susceptible":[9],"(SIS)":[10],"model.":[11],"In":[12],"particular,":[13],"we":[14,29,39,92],"focus":[15],"on":[16],"case":[18,70,96],"where":[19],"there":[20],"are":[21,64,89],"three":[22],"competing":[23],"viruses":[24,88],"(i.e.,":[25],"tri-virus":[26,33,115],"system).":[27],"First,":[28],"show":[30],"that":[31,71,104],"system":[34,116],"is":[35,58],"not":[36],"monotone.":[37],"Thereafter,":[38],"identify":[40,67,93],"necessary":[41],"conditions":[42],"and":[43,60,66,75],"sufficient":[45],"condition":[46],"for":[47,105],"local":[48,76],"exponential":[49,77],"convergence":[50],"to":[51,118],"boundary":[53],"equilibrium":[54],"(exactly":[55],"one":[56],"virus":[57],"alive,":[59],"other":[62],"two":[63,87],"dead)":[65],"special":[69,101],"admits":[72],"existence":[74],"attractivity":[78],"line":[81],"coexisting":[83,122],"equilibria":[84],"(at":[85],"least":[86],"active).":[90],"Finally,":[91],"particular":[95],"(subsumed":[97],"by":[98],"aforementioned":[100],"case)":[102],"such":[103],"all":[106],"nonzero":[107],"initial":[108],"infection":[109],"levels,":[110],"dynamics":[112],"converge":[117],"plane":[120],"equilibria.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
