{"id":"https://openalex.org/W4409206106","doi":"https://doi.org/10.1080/00207160.2025.2486408","title":"Theoretical and numerical analysis for stochastic SIR models with density-dependent birth rate","display_name":"Theoretical and numerical analysis for stochastic SIR models with density-dependent birth rate","publication_year":2025,"publication_date":"2025-04-06","ids":{"openalex":"https://openalex.org/W4409206106","doi":"https://doi.org/10.1080/00207160.2025.2486408"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2025.2486408","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2025.2486408","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5101585112","display_name":"Zhijie Chen","orcid":"https://orcid.org/0000-0002-5416-3345"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijie Chen","raw_affiliation_strings":["Harbin Engineering University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Engineering University","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jiashang Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiashang Zhu","raw_affiliation_strings":["Harbin Engineering University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Engineering University","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026892626","display_name":"Huizi Yang","orcid":"https://orcid.org/0000-0002-6576-2095"},"institutions":[{"id":"https://openalex.org/I182707071","display_name":"Ludong University","ror":"https://ror.org/028h95t32","country_code":"CN","type":"education","lineage":["https://openalex.org/I182707071"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huizi Yang","raw_affiliation_strings":["Ludong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ludong University","institution_ids":["https://openalex.org/I182707071"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026892626"],"corresponding_institution_ids":["https://openalex.org/I182707071"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07229263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9794999957084656,"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":0.9794999957084656,"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/T11886","display_name":"Agricultural risk and resilience","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/1111","display_name":"Soil Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11336","display_name":"Energy and Environment Impacts","score":0.9258000254631042,"subfield":{"id":"https://openalex.org/subfields/2310","display_name":"Pollution"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.696247398853302},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5501313209533691},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43817469477653503},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3516293168067932},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2220841646194458}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.696247398853302},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5501313209533691},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43817469477653503},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3516293168067932},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2220841646194458}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2025.2486408","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2025.2486408","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2293850746","display_name":null,"funder_award_id":"12201280","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5769875458","display_name":null,"funder_award_id":"LH2022A006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7795231150","display_name":null,"funder_award_id":"KYWZ120242401","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1621950790","https://openalex.org/W1971274873","https://openalex.org/W1974190671","https://openalex.org/W2014403207","https://openalex.org/W2025015590","https://openalex.org/W2032090338","https://openalex.org/W2049801158","https://openalex.org/W2065188344","https://openalex.org/W2085672697","https://openalex.org/W2117727403","https://openalex.org/W2127435093","https://openalex.org/W2148301044","https://openalex.org/W2624231555","https://openalex.org/W2945744149","https://openalex.org/W3114382104","https://openalex.org/W3119098525","https://openalex.org/W4226240938","https://openalex.org/W4281844052","https://openalex.org/W4292682799","https://openalex.org/W4302307125","https://openalex.org/W4317666436","https://openalex.org/W4387472426","https://openalex.org/W4396938287","https://openalex.org/W6682044371"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W4285308861"],"abstract_inverted_index":{"The":[0,59,104,142],"paper":[1],"presents":[2],"a":[3,13,68,84],"theoretical":[4,135,146],"and":[5,83,123],"numerical":[6,81,101,105,152],"exploration":[7],"of":[8,38,61,108,127,137,144],"the":[9,24,32,36,39,46,62,90,100,109,118,124,128,134,138,145],"dynamical":[10,102,106],"behaviour":[11,107],"within":[12],"stochastic":[14,120],"SIR":[15],"epidemic":[16],"model":[17,34,63],"with":[18,73],"density-dependent":[19],"birth":[20],"rate.":[21],"By":[22],"reformulating":[23],"basic":[25],"regeneration":[26],"number,":[27],"it":[28],"is":[29,64,77,111],"shown":[30],"that":[31],"deterministic":[33],"maintains":[35],"extinction":[37],"disease":[40,47],"at":[41,56],"smaller":[42],"noise.":[43,58],"More":[44],"interestingly,":[45],"will":[48],"go":[49],"extinct":[50],"in":[51,99],"an":[52,114],"almost":[53],"sure":[54],"sense":[55],"larger":[57],"persistence":[60],"also":[65],"proved.":[66],"Numerically,":[67],"linearly":[69],"implicit":[70],"Euler":[71],"method":[72],"truncated":[74],"Wiener":[75],"processes":[76],"proposed":[78],"to":[79],"ensure":[80],"boundedness":[82],"strong":[85,125],"convergence":[86,92],"analysis":[87,147],"based":[88],"on":[89],"fundamental":[91],"theorem,":[93],"after":[94],"which":[95],"we":[96],"are":[97,148],"interested":[98],"behaviour.":[103],"system":[110],"obtained":[112],"by":[113,151],"exponential":[115],"presentation":[116],"for":[117,131],"nonlinear":[119],"stability":[121],"function":[122],"law":[126],"large":[129],"number":[130],"martingales,":[132],"reproducing":[133],"results":[136,143],"existing":[139],"exact":[140],"solutions.":[141],"finally":[149],"illustrated":[150],"simulations.":[153]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
