{"id":"https://openalex.org/W3147301949","doi":null,"title":"Two-group SIR Epidemic Model with Stochastic Perturbation","display_name":"Two-group SIR Epidemic Model with Stochastic Perturbation","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W3147301949","mag":"3147301949"},"language":"en","primary_location":{"id":"mag:3147301949","doi":null,"is_oa":false,"landing_page_url":"http://www.cqvip.com/QK/85800X/201212/43987856.html","pdf_url":null,"source":{"id":"https://openalex.org/S69859562","display_name":"Acta Mathematica Sinica English Series","issn_l":"1439-7617","issn":["1439-7617","1439-8516"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u5b66\u5b66\u62a5\uff1a\u82f1\u6587\u7248","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5109834451","display_name":"\u25cb Chun","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u25cb Chun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Yan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108631335","display_name":"Ji","orcid":"https://orcid.org/0000-0001-7552-5512","observed_orcids":["https://orcid.org/0000-0001-7552-5512"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ji","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109010126","display_name":"Qing Qing","orcid":"https://orcid.org/0009-0009-9998-2887","observed_orcids":["https://orcid.org/0009-0009-9998-2887"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114257345","display_name":"Jiang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112624585","display_name":"Ning","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ning","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112053023","display_name":"Zhong","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5110754462","display_name":"Jian-rong Shi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":1.8514,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86360218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"28","issue":"12","first_page":"2545","last_page":"2560"},"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":1.0,"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":1.0,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.0,"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/stochastic-perturbation","display_name":"random perturbations","score":0.9589999914169312},{"id":"https://openalex.org/keywords/white-noise","display_name":"white noise","score":0.8389999866485596},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.7070000171661377},{"id":"https://openalex.org/keywords/disease-extinction","display_name":"disease extinction","score":0.7239999771118164},{"id":"https://openalex.org/keywords/global-asymptotic-stability","display_name":"global asymptotic stability","score":0.7379999756813049},{"id":"https://openalex.org/keywords/local-stability","display_name":"local stability","score":0.41499999165534973},{"id":"https://openalex.org/keywords/positive-invariance","display_name":"positive invariance","score":0.4740000069141388},{"id":"https://openalex.org/keywords/disease-prevalence","display_name":"disease prevalence","score":0.3529999852180481},{"id":"https://openalex.org/keywords/epidemic-dynamics","display_name":"epidemic dynamics","score":0.36000001430511475}],"concepts":[{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.513724684715271},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.37256962060928345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3433987498283386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32465261220932007},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.29323846101760864},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.15735435485839844},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.11909040808677673}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3147301949","doi":null,"is_oa":false,"landing_page_url":"http://www.cqvip.com/QK/85800X/201212/43987856.html","pdf_url":null,"source":{"id":"https://openalex.org/S69859562","display_name":"Acta Mathematica Sinica English Series","issn_l":"1439-7617","issn":["1439-7617","1439-8516"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u5b66\u5b66\u62a5\uff1a\u82f1\u6587\u7248","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2018034732","https://openalex.org/W2025015590","https://openalex.org/W3141896542","https://openalex.org/W2014663278","https://openalex.org/W2903449170","https://openalex.org/W3136714519","https://openalex.org/W2093100445","https://openalex.org/W2046292954","https://openalex.org/W2951086566","https://openalex.org/W2392034302"],"abstract_inverted_index":{"\u4e00\u4e2a\u968f\u673a\u7684\u4e8c\u7ec4\u7684\u5148\u751f\u6a21\u578b\u5728\u8fd9\u4efd\u62a5\u7eb8\u88ab\u4ecb\u7ecd\u3002\u5b83\u7684":[0],"nonnegative":[1],"\u7b54\u6848\u7684\u5b58\u5728\u548c\u552f\u4e00\u88ab\u83b7\u5f97\uff0c\u5e76\u4e14\u7b54\u6848\u5c5e\u4e8e\u4e00\u4e2a\u786e\u5b9e\u4e0d\u53d8\u7684\u96c6\u5408\u3002\u800c\u4e14\uff0c\u5982\u679c\uff0c\u5168\u7403\u6027\uff0c\u6ca1\u6709\u75be\u75c5\u7684\u5e73\u8861\u7684":[2],"asymptotical":[3],"\u7a33\u5b9a\u6027\u88ab\u968f\u673a\u7684":[4],"Lyapunov":[5],"\u529f\u80fd\u7684\u65b9\u6cd5\u63a8\u51fa":[6],"R":[7,10],"0":[8,11],"1\uff0c\u5b83\u610f\u5473\u7740\u75be\u75c5\u5c06\u706d\u7edd\u3002\u5f53\u65f6\u5982\u679c":[9],">":[12],"1\uff0c\u6211\u4eec\u8bc1\u660e\u7b54\u6848\u5728\u662f\u786e\u5b9a\u7684\u6a21\u578b\u7684\u5730\u65b9\u6027\u7684\u5e73\u8861\u7684\u4e00\u4e2a\u70b9\u9644\u8fd1\u6b63\u5728\u6ce2\u52a8\u53ca\u65f6\u5e73\u5747\u3002\u53e6\u5916\uff0c\u53d8\u5316\u7684\u7d27\u5f20\u4e0e\u767d\u566a\u97f3\u7684\u7d27\u5f20\u6210\u6b63\u6bd4\u3002\u5f53\u767d\u566a\u97f3\u662f\u5c0f\u7684\u65f6\uff0c\u6211\u4eec\u8ba4\u4e3a\u75be\u75c5\u5c06\u5360\u4f18\u52bf\u3002\u6700\u540e\uff0c\u6211\u4eec\u7ecf\u7531\u6570\u5b57\u5b9e\u9a8c\u7684\u4e00\u4e2a\u8303\u56f4\u8bf4\u660e\u6a21\u578b\u548c\u4ed6\u4eec\u7684\u8fd1\u4f3c\u7684\u52a8\u6001\u884c\u4e3a\u3002":[13]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2021-04-13T00:00:00"}
