{"id":"https://openalex.org/W2004090184","doi":"https://doi.org/10.1155/2014/343719","title":"Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input","display_name":"Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2004090184","doi":"https://doi.org/10.1155/2014/343719","mag":"2004090184"},"language":"en","primary_location":{"id":"doi:10.1155/2014/343719","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/343719","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/343719.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/343719.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100636509","display_name":"Zhong Zhao","orcid":"https://orcid.org/0000-0001-9892-871X"},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhong Zhao","raw_affiliation_strings":["Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China","institution_ids":["https://openalex.org/I4210131125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102001440","display_name":"Baozhen Wang","orcid":"https://orcid.org/0000-0003-4825-2453"},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baozhen Wang","raw_affiliation_strings":["Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China","institution_ids":["https://openalex.org/I4210131125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023756907","display_name":"Liuyong Pang","orcid":"https://orcid.org/0000-0003-2461-8852"},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liuyong Pang","raw_affiliation_strings":["Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China","institution_ids":["https://openalex.org/I4210131125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101507583","display_name":"Ying Chen","orcid":"https://orcid.org/0000-0002-9983-4106"},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Chen","raw_affiliation_strings":["Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Huanghuai University, Zhumadian, Henan 463000, China","institution_ids":["https://openalex.org/I4210131125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100636509"],"corresponding_institution_ids":["https://openalex.org/I4210131125"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.3215,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68134585,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"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":0.9986000061035156,"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":0.9986000061035156,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chemostat","display_name":"Chemostat","score":0.9485325217247009},{"id":"https://openalex.org/keywords/plasmid","display_name":"Plasmid","score":0.8481281399726868},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5396971106529236},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5080912113189697},{"id":"https://openalex.org/keywords/bearing","display_name":"Bearing (navigation)","score":0.4696715772151947},{"id":"https://openalex.org/keywords/bioreactor","display_name":"Bioreactor","score":0.46481189131736755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.420096755027771},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.417293518781662},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.41546687483787537},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3995707035064697},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.33923351764678955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25996673107147217},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.22103923559188843},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2134355902671814},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.1504158079624176},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13913410902023315},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12891840934753418},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.11296552419662476},{"id":"https://openalex.org/keywords/bacteria","display_name":"Bacteria","score":0.10359981656074524}],"concepts":[{"id":"https://openalex.org/C125111812","wikidata":"https://www.wikidata.org/wiki/Q902311","display_name":"Chemostat","level":3,"score":0.9485325217247009},{"id":"https://openalex.org/C22744801","wikidata":"https://www.wikidata.org/wiki/Q172778","display_name":"Plasmid","level":3,"score":0.8481281399726868},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5396971106529236},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5080912113189697},{"id":"https://openalex.org/C199978012","wikidata":"https://www.wikidata.org/wiki/Q1273815","display_name":"Bearing (navigation)","level":2,"score":0.4696715772151947},{"id":"https://openalex.org/C168170006","wikidata":"https://www.wikidata.org/wiki/Q864699","display_name":"Bioreactor","level":2,"score":0.46481189131736755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.420096755027771},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.417293518781662},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.41546687483787537},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3995707035064697},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33923351764678955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25996673107147217},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.22103923559188843},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2134355902671814},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.1504158079624176},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13913410902023315},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12891840934753418},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.11296552419662476},{"id":"https://openalex.org/C523546767","wikidata":"https://www.wikidata.org/wiki/Q10876","display_name":"Bacteria","level":2,"score":0.10359981656074524},{"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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/343719","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/343719","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/343719.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305832","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305832","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:343719","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/343719.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:21a778ba2227449099e41ae1f9105987","is_oa":true,"landing_page_url":"https://doaj.org/article/21a778ba2227449099e41ae1f9105987","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/343719","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/343719","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/343719.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G1221520380","display_name":null,"funder_award_id":"32300410","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2273800250","display_name":null,"funder_award_id":"NSFC-","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4571182536","display_name":null,"funder_award_id":"132300410084","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4676315439","display_name":null,"funder_award_id":", NSFC-","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5645801369","display_name":null,"funder_award_id":"132300410250","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6635305925","display_name":null,"funder_award_id":"U1304104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7169870060","display_name":null,"funder_award_id":"11371164","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7608752429","display_name":null,"funder_award_id":"Talent","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8336279714","display_name":null,"funder_award_id":"2013GGJS-214","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/W2004090184.pdf","grobid_xml":"https://content.openalex.org/works/W2004090184.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1572006432","https://openalex.org/W1971824572","https://openalex.org/W1976104276","https://openalex.org/W2008124265","https://openalex.org/W2038639890","https://openalex.org/W2048240499","https://openalex.org/W2055906987","https://openalex.org/W2074077770","https://openalex.org/W2079439445","https://openalex.org/W2087956051","https://openalex.org/W2106105532","https://openalex.org/W2169730103","https://openalex.org/W2951474254","https://openalex.org/W4237564398"],"related_works":["https://openalex.org/W1608758340","https://openalex.org/W2123404724","https://openalex.org/W1505019344","https://openalex.org/W4237795480","https://openalex.org/W47420346","https://openalex.org/W2143478158","https://openalex.org/W2025026414","https://openalex.org/W2081172030","https://openalex.org/W2389421446","https://openalex.org/W84245988"],"abstract_inverted_index":{"A":[0],"chemostat":[1],"model":[2],"of":[3,16,28,35,38],"plasmid-bearing":[4,18],"and":[5,19,47],"plasmid-free":[6,20,48],"competition":[7],"with":[8],"pulsed":[9],"input":[10],"is":[11,22],"proposed.":[12],"The":[13],"invasion":[14],"threshold":[15],"the":[17,26,29,41],"organisms":[21,49],"obtained":[23],"according":[24],"to":[25,62],"stability":[27],"boundary":[30],"periodic":[31,42],"solution.":[32],"By":[33],"use":[34],"standard":[36],"techniques":[37],"bifurcation":[39],"theory,":[40],"oscillations":[43],"in":[44],"substrate,":[45],"plasmid-bearing,":[46],"are":[50,55],"shown":[51],"when":[52],"some":[53],"conditions":[54],"satisfied.":[56],"Our":[57],"results":[58],"can":[59],"be":[60],"applied":[61],"control":[63],"bioreactor":[64],"aimed":[65],"at":[66],"producing":[67],"commercial":[68],"producers":[69],"through":[70],"genetically":[71],"altered":[72],"organisms.":[73]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
