{"id":"https://openalex.org/W2523491383","doi":"https://doi.org/10.1142/s021812741650173x","title":"Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients","display_name":"Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2523491383","doi":"https://doi.org/10.1142/s021812741650173x","mag":"2523491383"},"language":"en","primary_location":{"id":"doi:10.1142/s021812741650173x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741650173x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5100954507","display_name":"Chaoqun Xu","orcid":"https://orcid.org/0000-0003-2021-0067"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chaoqun Xu","raw_affiliation_strings":["School of Management, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Management, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043483223","display_name":"Sanling Yuan","orcid":"https://orcid.org/0000-0002-0502-3653"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sanling Yuan","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086628608","display_name":"Tonghua Zhang","orcid":"https://orcid.org/0000-0003-0510-1428"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tonghua Zhang","raw_affiliation_strings":["Department of Mathematics, Swinburne University of Technology, Hawthorn, VIC. 3122, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Swinburne University of Technology, Hawthorn, VIC. 3122, Australia","institution_ids":["https://openalex.org/I57093077"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100954507"],"corresponding_institution_ids":["https://openalex.org/I148128674"],"apc_list":null,"apc_paid":null,"fwci":1.8033,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.84674031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"26","issue":"10","first_page":"1650173","last_page":"1650173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.994700014591217,"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"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.993399977684021,"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-modelling","display_name":"Stochastic modelling","score":0.5747905969619751},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5235371589660645},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5185773372650146},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5061406493186951},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.4740723669528961},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.47283798456192017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4355211853981018},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4142146706581116},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3378456234931946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2478841245174408},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22431719303131104},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17130988836288452},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11186328530311584}],"concepts":[{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.5747905969619751},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5235371589660645},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5185773372650146},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5061406493186951},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.4740723669528961},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.47283798456192017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4355211853981018},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4142146706581116},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3378456234931946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2478841245174408},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22431719303131104},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17130988836288452},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11186328530311584},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s021812741650173x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741650173x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:researchbank.swinburne.edu.au:2593da84-18b2-42c5-b04b-bfa4a77db44a/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/433442","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos in Applied Sciences and Engineering , Vol. 26, no. 10 (Sep 2016), article no. 1650173","raw_type":""},{"id":"pmh:oai:researchbank.swinburne.edu.au:f482180f-d64d-414d-be24-642c6610afc2/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/444615","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, Vol. 26, no. 10 (Sep 2016), article no. 1650173","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G2135750262","display_name":null,"funder_award_id":"11271260","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7725900867","display_name":null,"funder_award_id":"B14005","funder_id":"https://openalex.org/F4320324907","funder_display_name":"Hujiang Foundation of China"},{"id":"https://openalex.org/G8275435188","display_name":null,"funder_award_id":"XTKX2012","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324907","display_name":"Hujiang Foundation of China","ror":null},{"id":"https://openalex.org/F4320335766","display_name":"Shanghai Leading Academic Discipline Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1750885354","https://openalex.org/W1966202707","https://openalex.org/W1967064164","https://openalex.org/W1968874211","https://openalex.org/W1971824572","https://openalex.org/W1973220302","https://openalex.org/W1974186209","https://openalex.org/W1983659903","https://openalex.org/W1984562752","https://openalex.org/W1985300928","https://openalex.org/W1987888788","https://openalex.org/W1988647675","https://openalex.org/W1991055287","https://openalex.org/W2001723569","https://openalex.org/W2006236578","https://openalex.org/W2013855449","https://openalex.org/W2013861126","https://openalex.org/W2017550765","https://openalex.org/W2019333727","https://openalex.org/W2023515853","https://openalex.org/W2032453973","https://openalex.org/W2036431430","https://openalex.org/W2037329599","https://openalex.org/W2040527255","https://openalex.org/W2050425148","https://openalex.org/W2059371532","https://openalex.org/W2062247832","https://openalex.org/W2072291849","https://openalex.org/W2076769692","https://openalex.org/W2077392233","https://openalex.org/W2077565682","https://openalex.org/W2077665456","https://openalex.org/W2092771947","https://openalex.org/W2110164995","https://openalex.org/W2129026789","https://openalex.org/W2201340799","https://openalex.org/W2223090614","https://openalex.org/W2235652365","https://openalex.org/W2329901989","https://openalex.org/W3022581161","https://openalex.org/W4237564398"],"related_works":["https://openalex.org/W4388297534","https://openalex.org/W2051439117","https://openalex.org/W1673883441","https://openalex.org/W4298109871","https://openalex.org/W2313188567","https://openalex.org/W2047208578","https://openalex.org/W4248124207","https://openalex.org/W2083477739","https://openalex.org/W2089966216","https://openalex.org/W2017930464"],"abstract_inverted_index":{"A":[0],"stochastic":[1,47,57,73,116],"model":[2,23],"of":[3,51,91,114],"turbidostat":[4],"in":[5,77],"which":[6],"two":[7],"microorganism":[8],"species":[9],"compete":[10],"for":[11,94],"an":[12],"inhibitory":[13],"growth-limiting":[14],"nutrient":[15],"is":[16],"considered.":[17],"In":[18,45],"the":[19,22,31,46,56,60,67,72,82,88,92,106,111,115],"deterministic":[20,61],"case,":[21,48],"has":[24],"rich":[25],"dynamics:":[26],"a":[27,39,49,97],"coexistence":[28,62,100],"equilibrium":[29,33,63],"and":[30,38,85],"washout":[32,68],"can":[34],"be":[35],"simultaneously":[36],"stable,":[37],"stable":[40],"limit":[41],"cycle":[42],"may":[43],"exist.":[44],"phenomenon":[50],"noise-induced":[52],"extinction":[53],"occurs.":[54],"Namely,":[55],"trajectory":[58],"near":[59],"will":[64],"tend":[65],"to":[66,101,109],"equilibrium.":[69],"Based":[70],"on":[71],"sensitivity":[74],"function":[75],"technique,":[76],"this":[78],"paper,":[79],"we":[80],"construct":[81,105],"confidence":[83,107],"ellipse":[84],"then":[86],"estimate":[87],"critical":[89],"value":[90],"intensity":[93],"noise":[95],"generating":[96],"transition":[98],"from":[99],"extinction.":[102],"We":[103],"also":[104],"band":[108],"find":[110],"configurational":[112],"arrangement":[113],"cycle.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}