{"id":"https://openalex.org/W2005030477","doi":"https://doi.org/10.1142/s0218127408022329","title":"BIFURCATION AND CONTROL IN A DIFFERENTIAL-ALGEBRAIC HARVESTED PREY-PREDATOR MODEL WITH STAGE STRUCTURE FOR PREDATOR","display_name":"BIFURCATION AND CONTROL IN A DIFFERENTIAL-ALGEBRAIC HARVESTED PREY-PREDATOR MODEL WITH STAGE STRUCTURE FOR PREDATOR","publication_year":2008,"publication_date":"2008-10-01","ids":{"openalex":"https://openalex.org/W2005030477","doi":"https://doi.org/10.1142/s0218127408022329","mag":"2005030477"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127408022329","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408022329","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/A5066953671","display_name":"Chao Liu","orcid":"https://orcid.org/0000-0002-5279-6296"},"institutions":[{"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":"CHAO LIU","raw_affiliation_strings":["Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning Province 110004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning Province 110004, P. R. China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100704871","display_name":"Qingling Zhang","orcid":"https://orcid.org/0000-0002-9749-7580"},"institutions":[{"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":"QINGLING ZHANG","raw_affiliation_strings":["Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning Province 110004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning Province 110004, P. R. China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103625353","display_name":"Yue Zhang","orcid":"https://orcid.org/0009-0004-1072-2581"},"institutions":[{"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":"YUE ZHANG","raw_affiliation_strings":["Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning Province 110004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, Liaoning Province 110004, P. R. China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101944883","display_name":"Xiaodong Duan","orcid":"https://orcid.org/0009-0001-1775-6280"},"institutions":[{"id":"https://openalex.org/I61565387","display_name":"Dalian Minzu University","ror":"https://ror.org/02hxfx521","country_code":"CN","type":"education","lineage":["https://openalex.org/I61565387"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XIAODONG DUAN","raw_affiliation_strings":["Institute of Nonlinear Information Technology, Dalian Nationalities University, Dalian, Liaoning Province 116600, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Nonlinear Information Technology, Dalian Nationalities University, Dalian, Liaoning Province 116600, P. R. China","institution_ids":["https://openalex.org/I61565387"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.562,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.91692601,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"10","first_page":"3159","last_page":"3168"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9768000245094299,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9760000109672546,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7083104848861694},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.6905356645584106},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5845854878425598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5490824580192566},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5159904956817627},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5127123594284058},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.45462891459465027},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4407844841480255},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.417962908744812},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4043505787849426},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.3793613314628601},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27338075637817383},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.18601244688034058},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17282089591026306},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14234721660614014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09872528910636902},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07435575127601624},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07091695070266724},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06347429752349854}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7083104848861694},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.6905356645584106},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5845854878425598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5490824580192566},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5159904956817627},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5127123594284058},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.45462891459465027},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4407844841480255},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.417962908744812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4043505787849426},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.3793613314628601},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27338075637817383},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.18601244688034058},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17282089591026306},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14234721660614014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09872528910636902},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07435575127601624},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07091695070266724},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06347429752349854},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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":1,"locations":[{"id":"doi:10.1142/s0218127408022329","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408022329","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.41999998688697815}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W151868298","https://openalex.org/W1964763694","https://openalex.org/W1967710066","https://openalex.org/W1974821743","https://openalex.org/W1987905142","https://openalex.org/W1988141554","https://openalex.org/W1991632067","https://openalex.org/W1996859252","https://openalex.org/W1999341282","https://openalex.org/W2006906998","https://openalex.org/W2022624824","https://openalex.org/W2030718012","https://openalex.org/W2032647616","https://openalex.org/W2033074851","https://openalex.org/W2033489353","https://openalex.org/W2039867796","https://openalex.org/W2075246151","https://openalex.org/W2079833113","https://openalex.org/W2083279633","https://openalex.org/W2087127186","https://openalex.org/W2091574253","https://openalex.org/W2100888608","https://openalex.org/W2104557633","https://openalex.org/W2107638593","https://openalex.org/W2111150538","https://openalex.org/W2123969946","https://openalex.org/W2127513531","https://openalex.org/W2350372302","https://openalex.org/W2385412226","https://openalex.org/W2517635773","https://openalex.org/W3088713371","https://openalex.org/W4298084067"],"related_works":["https://openalex.org/W2168669462","https://openalex.org/W2177427508","https://openalex.org/W2067000585","https://openalex.org/W2192426841","https://openalex.org/W4323811225","https://openalex.org/W2164070575","https://openalex.org/W2075391697","https://openalex.org/W4256173561","https://openalex.org/W2073795128","https://openalex.org/W2143533297"],"abstract_inverted_index":{"A":[0],"differential-algebraic":[1,28],"model":[2,42,53],"system":[3,8,29,43,54],"which":[4],"considers":[5],"a":[6,13,16,59,66],"prey-predator":[7],"with":[9,76],"stage":[10],"structure":[11],"for":[12],"predator":[14,22],"and":[15,30,36,79],"harvest":[17],"effort":[18],"on":[19],"the":[20,27,33,40,47,51,56,74,81,84],"mature":[21],"is":[23,63,69],"proposed.":[24],"By":[25],"using":[26],"bifurcation":[31],"theories,":[32],"local":[34],"stability":[35],"instability":[37],"mechanism":[38],"of":[39,49,83],"proposed":[41,52,85],"are":[44],"investigated.":[45],"With":[46],"purpose":[48],"stabilizing":[50],"at":[55],"positive":[57],"equilibrium,":[58],"state":[60],"feedback":[61],"controller":[62],"designed.":[64],"Finally,":[65],"numerical":[67],"simulation":[68],"carried":[70],"out":[71],"to":[72],"show":[73],"consistency":[75],"theoretical":[77],"analysis":[78],"illustrate":[80],"effectiveness":[82],"controller.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":8}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
