{"id":"https://openalex.org/W3204606026","doi":"https://doi.org/10.1137/20m1339015","title":"Extinction and Quasi-Stationarity for Discrete-Time, Endemic SIS and SIR Models","display_name":"Extinction and Quasi-Stationarity for Discrete-Time, Endemic SIS and SIR Models","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3204606026","doi":"https://doi.org/10.1137/20m1339015","mag":"3204606026"},"language":"en","primary_location":{"id":"doi:10.1137/20m1339015","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1339015","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1339015","source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1339015","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005037084","display_name":"Sebastian J. Schreiber","orcid":"https://orcid.org/0000-0002-5481-4822"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sebastian J. Schreiber","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047669397","display_name":"Shuo Huang","orcid":"https://orcid.org/0000-0002-0054-8880"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shuo Huang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110954786","display_name":"Jifa Jiang","orcid":"https://orcid.org/0000-0002-6149-9429"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jifa Jiang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5080102032","display_name":"Hao Wang","orcid":"https://orcid.org/0000-0001-7594-7387"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hao Wang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005037084"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8956,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.72930649,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"81","issue":"5","first_page":"2195","last_page":"2217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9995999932289124,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9987999796867371,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/extinction","display_name":"Extinction (optical mineralogy)","score":0.672480583190918},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6172896027565002},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5299355387687683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.445556640625},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4428708553314209},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3966304063796997},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3775292634963989},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3353227972984314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3204347491264343},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22780823707580566},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.09518688917160034},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09247186779975891}],"concepts":[{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.672480583190918},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6172896027565002},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5299355387687683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.445556640625},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4428708553314209},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3966304063796997},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3775292634963989},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3353227972984314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3204347491264343},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22780823707580566},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.09518688917160034},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09247186779975891}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1339015","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1339015","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1339015","source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/20m1339015","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1339015","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1339015","source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2178165675","display_name":null,"funder_award_id":"12171321","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3084904","display_name":null,"funder_award_id":"RGPAS-2020-00090","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5106060170","display_name":null,"funder_award_id":"11771295","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6642154209","display_name":null,"funder_award_id":"DMS-1716803","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7344975174","display_name":null,"funder_award_id":"RGPIN-2020-03911","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3204606026.pdf","grobid_xml":"https://content.openalex.org/works/W3204606026.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1502700877","https://openalex.org/W1598419928","https://openalex.org/W1606697907","https://openalex.org/W1968573859","https://openalex.org/W1976988610","https://openalex.org/W1980214881","https://openalex.org/W1981903873","https://openalex.org/W1986134081","https://openalex.org/W1991566561","https://openalex.org/W1994320166","https://openalex.org/W1995129053","https://openalex.org/W1999844549","https://openalex.org/W2009339318","https://openalex.org/W2013166037","https://openalex.org/W2021506853","https://openalex.org/W2028747147","https://openalex.org/W2029462341","https://openalex.org/W2032476533","https://openalex.org/W2040355665","https://openalex.org/W2041816179","https://openalex.org/W2059655508","https://openalex.org/W2065107466","https://openalex.org/W2083045226","https://openalex.org/W2088282337","https://openalex.org/W2089876099","https://openalex.org/W2089879364","https://openalex.org/W2092354100","https://openalex.org/W2093760354","https://openalex.org/W2101943448","https://openalex.org/W2104523869","https://openalex.org/W2107534296","https://openalex.org/W2120478939","https://openalex.org/W2120984832","https://openalex.org/W2165221310","https://openalex.org/W2248076159","https://openalex.org/W2323171160","https://openalex.org/W2769401009","https://openalex.org/W2799797902","https://openalex.org/W2962683590","https://openalex.org/W3012789146","https://openalex.org/W3082370774","https://openalex.org/W3099897116","https://openalex.org/W3102631185","https://openalex.org/W3184575055","https://openalex.org/W3199900848"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2392013855","https://openalex.org/W2357926602","https://openalex.org/W212874100","https://openalex.org/W2374569605","https://openalex.org/W2386062718","https://openalex.org/W2386129765","https://openalex.org/W2368742525","https://openalex.org/W2364803570","https://openalex.org/W2353846880"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13,39],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"19":[17],"May":[18],"2020Accepted:":[19],"26":[20],"April":[21],"2021Published":[22],"online:":[23],"05":[24],"October":[25],"2021Keywordsinfectious":[26],"diseases,":[27],"discrete-time":[28,31],"SIS":[29],"model,":[30,33],"SIR":[32],"quasi-stationary":[34],"distributions,":[35],"large":[36],"deviations,":[37],"times":[38],"extinctionAMS":[40],"Subject":[41],"Headings92D30,":[42],"60J10,":[43],"37N25Publication":[44],"DataISSN":[45],"(print):":[46],"0036-1399ISSN":[47],"(online):":[48],"1095-712XPublisher:":[49],"Society":[50],"for":[51],"Industrial":[52],"and":[53],"Applied":[54],"MathematicsCODEN:":[55],"smjmap":[56]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
