{"id":"https://openalex.org/W3198988645","doi":"https://doi.org/10.1007/s12190-021-01627-5","title":"Periodicity and stationary distribution of two novel stochastic epidemic models with infectivity in the latent period and household quarantine","display_name":"Periodicity and stationary distribution of two novel stochastic epidemic models with infectivity in the latent period and household quarantine","publication_year":2021,"publication_date":"2021-09-15","ids":{"openalex":"https://openalex.org/W3198988645","doi":"https://doi.org/10.1007/s12190-021-01627-5","mag":"3198988645","pmid":"https://pubmed.ncbi.nlm.nih.gov/34539296"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-021-01627-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-021-01627-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-021-01627-5.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s12190-021-01627-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025573102","display_name":"Dongchen Shangguan","orcid":null},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongchen Shangguan","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021781386","display_name":"Zhijun Liu","orcid":"https://orcid.org/0000-0003-3383-5621"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijun Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101795941","display_name":"Lianwen Wang","orcid":"https://orcid.org/0000-0002-9914-9627"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianwen Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100889446","display_name":"Ronghua Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ronghua Tan","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 Hubei People's Republic of China","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000, Hubei, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025573102"],"corresponding_institution_ids":["https://openalex.org/I145897649"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2718,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.52110798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"68","issue":"4","first_page":"2551","last_page":"2570"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994999766349792,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9735000133514404,"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/ergodic-theory","display_name":"Ergodic theory","score":0.8336540460586548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7470701932907104},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.7244632244110107},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6722934246063232},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5008161067962646},{"id":"https://openalex.org/keywords/quarantine","display_name":"Quarantine","score":0.4873007535934448},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4511687755584717},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.4335865378379822},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4156533181667328},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.40782850980758667},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.2562926411628723},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22533220052719116},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19488954544067383},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13461554050445557}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.8336540460586548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7470701932907104},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.7244632244110107},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6722934246063232},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5008161067962646},{"id":"https://openalex.org/C2781402358","wikidata":"https://www.wikidata.org/wiki/Q182899","display_name":"Quarantine","level":2,"score":0.4873007535934448},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4511687755584717},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.4335865378379822},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4156533181667328},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.40782850980758667},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.2562926411628723},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22533220052719116},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19488954544067383},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13461554050445557},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s12190-021-01627-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-021-01627-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-021-01627-5.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},{"id":"pmid:34539296","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34539296","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of applied mathematics & computing","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:8440746","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8440746","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J Appl Math Comput","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s12190-021-01627-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-021-01627-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-021-01627-5.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8500000238418579,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G6969954005","display_name":null,"funder_award_id":"12001178","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8556957182","display_name":null,"funder_award_id":"11871201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3198988645.pdf","grobid_xml":"https://content.openalex.org/works/W3198988645.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1970495714","https://openalex.org/W1972079349","https://openalex.org/W1976285334","https://openalex.org/W1997498552","https://openalex.org/W2000175140","https://openalex.org/W2018296903","https://openalex.org/W2022715852","https://openalex.org/W2039662336","https://openalex.org/W2053929841","https://openalex.org/W2072573848","https://openalex.org/W2078987314","https://openalex.org/W2080420277","https://openalex.org/W2101150297","https://openalex.org/W2124508608","https://openalex.org/W2146400592","https://openalex.org/W2148301044","https://openalex.org/W2161728228","https://openalex.org/W2165168031","https://openalex.org/W2183633107","https://openalex.org/W2309143556","https://openalex.org/W2381944992","https://openalex.org/W2475174379","https://openalex.org/W2557223289","https://openalex.org/W2590605848","https://openalex.org/W2606236831","https://openalex.org/W2615605617","https://openalex.org/W2789767001","https://openalex.org/W2802124622","https://openalex.org/W2803595261","https://openalex.org/W2892935655","https://openalex.org/W2909849241","https://openalex.org/W2949709203","https://openalex.org/W2971460053","https://openalex.org/W2973342418","https://openalex.org/W3004150910","https://openalex.org/W3006533361","https://openalex.org/W3008028633","https://openalex.org/W3008294222","https://openalex.org/W3010785824","https://openalex.org/W3012789146","https://openalex.org/W3014866318","https://openalex.org/W3016552450","https://openalex.org/W3017512947","https://openalex.org/W3018693388","https://openalex.org/W3019457420","https://openalex.org/W3032742287","https://openalex.org/W3035693076","https://openalex.org/W3043507611","https://openalex.org/W3130314202"],"related_works":["https://openalex.org/W4207026480","https://openalex.org/W2390585021","https://openalex.org/W2389244961","https://openalex.org/W412641959","https://openalex.org/W50969306","https://openalex.org/W4245795034","https://openalex.org/W4245615770","https://openalex.org/W4292101436","https://openalex.org/W3048312975","https://openalex.org/W3195354540"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}