{"id":"https://openalex.org/W7128432058","doi":"https://doi.org/10.1007/s12190-026-02774-3","title":"Threshold dynamics in a stochastic SIR epidemic system with Allee effect and logarithmic Ornstein-Uhlenbeck process","display_name":"Threshold dynamics in a stochastic SIR epidemic system with Allee effect and logarithmic Ornstein-Uhlenbeck process","publication_year":2026,"publication_date":"2026-02-09","ids":{"openalex":"https://openalex.org/W7128432058","doi":"https://doi.org/10.1007/s12190-026-02774-3"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-026-02774-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02774-3","pdf_url":null,"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"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Chao Liu","orcid":"https://orcid.org/0000-0003-0085-9475"},"institutions":[{"id":"https://openalex.org/I142078773","display_name":"Shenyang Institute of Automation","ror":"https://ror.org/00ft6nj33","country_code":"CN","type":"facility","lineage":["https://openalex.org/I142078773","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chao Liu","raw_affiliation_strings":["Institute of Systems Science, Northeastern University, Wenhua Road, No.3-11, Shenyang, 110004, China","State Key Laboratory of Integrated Automation of Process Industry, Wenhua Road, No.3-11, Shenyang, 110004, China"],"raw_orcid":"https://orcid.org/0000-0003-0085-9475","affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Northeastern University, Wenhua Road, No.3-11, Shenyang, 110004, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Automation of Process Industry, Wenhua Road, No.3-11, Shenyang, 110004, China","institution_ids":["https://openalex.org/I142078773"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125461512","display_name":"Yanyang Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I142078773","display_name":"Shenyang Institute of Automation","ror":"https://ror.org/00ft6nj33","country_code":"CN","type":"facility","lineage":["https://openalex.org/I142078773","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanyang Sun","raw_affiliation_strings":["Institute of Systems Science, Northeastern University, Wenhua Road, No.3-11, Shenyang, 110004, China","State Key Laboratory of Integrated Automation of Process Industry, Wenhua Road, No.3-11, Shenyang, 110004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Northeastern University, Wenhua Road, No.3-11, Shenyang, 110004, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Automation of Process Industry, Wenhua Road, No.3-11, Shenyang, 110004, China","institution_ids":["https://openalex.org/I142078773"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066091823","display_name":"Lora Cheung","orcid":null},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lora Cheung","raw_affiliation_strings":["Department of Mathematics and Statistics, York University, Keele Street, No. 4700, Toronto, M3J 1P3, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, York University, Keele Street, No. 4700, Toronto, M3J 1P3, Canada","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I142078773","https://openalex.org/I9224756"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":12.2755,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.95946177,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"72","issue":"3","first_page":null,"last_page":null},"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":0.9162999987602234,"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":0.9162999987602234,"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":0.026499999687075615,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.023900000378489494,"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":0.6274999976158142},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6035000085830688},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.5623000264167786},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.5522000193595886},{"id":"https://openalex.org/keywords/allee-effect","display_name":"Allee effect","score":0.5440999865531921},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.48249998688697815},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.46619999408721924},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.46540001034736633},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.46470001339912415}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7878000140190125},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6274999976158142},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6035000085830688},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5623000264167786},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.5522000193595886},{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.5440999865531921},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.48249998688697815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4821999967098236},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.46619999408721924},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.46540001034736633},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.46470001339912415},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4578000009059906},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.45660001039505005},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.42640000581741333},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.3817000091075897},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.37049999833106995},{"id":"https://openalex.org/C158535547","wikidata":"https://www.wikidata.org/wiki/Q5165437","display_name":"Continuous-time stochastic process","level":3,"score":0.3693000078201294},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3625999987125397},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.3086000084877014},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.29989999532699585},{"id":"https://openalex.org/C177255742","wikidata":"https://www.wikidata.org/wiki/Q4109953","display_name":"Branching process","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2992999851703644},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.27950000762939453},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.26840001344680786},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-026-02774-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02774-3","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.835890531539917,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W2022715852","https://openalex.org/W2067387275","https://openalex.org/W2275628635","https://openalex.org/W2464319581","https://openalex.org/W2510683294","https://openalex.org/W2764274389","https://openalex.org/W2770635692","https://openalex.org/W3005016379","https://openalex.org/W3028352609","https://openalex.org/W3043564885","https://openalex.org/W3112890283","https://openalex.org/W3146726878","https://openalex.org/W3161008823","https://openalex.org/W4210515970","https://openalex.org/W4210878182","https://openalex.org/W4244873643","https://openalex.org/W4281749177","https://openalex.org/W4283513591","https://openalex.org/W4283654333","https://openalex.org/W4295185334","https://openalex.org/W4307958205","https://openalex.org/W4308516687","https://openalex.org/W4309336160","https://openalex.org/W4310056697","https://openalex.org/W4312603471","https://openalex.org/W4313887969","https://openalex.org/W4380792462","https://openalex.org/W4382062547","https://openalex.org/W4384562747","https://openalex.org/W4389081825","https://openalex.org/W4390765817","https://openalex.org/W4392247007","https://openalex.org/W4393211350","https://openalex.org/W4393999495","https://openalex.org/W4396780383","https://openalex.org/W4399589730","https://openalex.org/W4405247155","https://openalex.org/W4405356679","https://openalex.org/W4406927016","https://openalex.org/W4411690025"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-02-11T22:13:25.172316","created_date":"2026-02-10T00:00:00"}