{"id":"https://openalex.org/W2062414047","doi":"https://doi.org/10.1155/2012/534276","title":"Dynamic Complexity of an Ivlev\u2010Type Prey\u2010Predator System with Impulsive State Feedback Control","display_name":"Dynamic Complexity of an Ivlev\u2010Type Prey\u2010Predator System with Impulsive State Feedback Control","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2062414047","doi":"https://doi.org/10.1155/2012/534276","mag":"2062414047"},"language":"en","primary_location":{"id":"doi:10.1155/2012/534276","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/534276","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/534276.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/2012/534276.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014469337","display_name":"Chuanjun Dai","orcid":"https://orcid.org/0000-0003-4361-8065"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanjun Dai","raw_affiliation_strings":["School of Mathematics and Information Science, Wenzhou University, Zhejiang, Wenzhou 325035, China","School of Mathematics and Information Science, Wenzhou University, Zhejiang, Wenzhou 325035"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Wenzhou University, Zhejiang, Wenzhou 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Wenzhou University, Zhejiang, Wenzhou 325035","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113831199","display_name":"Min Zhao","orcid":"https://orcid.org/0009-0007-9018-2547"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Zhao","raw_affiliation_strings":["School of Life and Environmental Science, Wenzhou University, Zhejiang, Wenzhou 325035, China","School of Life and Environmental Science, Wenzhou University, Zhejiang, Wenzhou 325035"],"affiliations":[{"raw_affiliation_string":"School of Life and Environmental Science, Wenzhou University, Zhejiang, Wenzhou 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"School of Life and Environmental Science, Wenzhou University, Zhejiang, Wenzhou 325035","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102936938","display_name":"Lansun Chen","orcid":"https://orcid.org/0000-0003-3651-9181"},"institutions":[{"id":"https://openalex.org/I4210099334","display_name":"Institute of Mathematics, Academia Sinica","ror":"https://ror.org/0120q3031","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210099334","https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Lansun Chen","raw_affiliation_strings":["Institute of Mathematics, Academia Sinica, Beijing 100080, China","Institute of Mathematics, Academia Sinica, Beijing 100080"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Academia Sinica, Beijing 100080, China","institution_ids":[]},{"raw_affiliation_string":"Institute of Mathematics, Academia Sinica, Beijing 100080","institution_ids":["https://openalex.org/I4210099334"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113831199"],"corresponding_institution_ids":["https://openalex.org/I146620803"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.2025,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.87637011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2012","issue":"1","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":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7663235068321228},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6802386045455933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5964950919151306},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5427293181419373},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5371091961860657},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.46533408761024475},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43605488538742065},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.4106307327747345},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38687995076179504},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29441484808921814},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23534360527992249},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13016781210899353},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12394487857818604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10015133023262024},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06024259328842163}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7663235068321228},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6802386045455933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5964950919151306},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5427293181419373},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5371091961860657},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.46533408761024475},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43605488538742065},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.4106307327747345},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38687995076179504},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29441484808921814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23534360527992249},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13016781210899353},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12394487857818604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10015133023262024},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06024259328842163},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":4,"locations":[{"id":"doi:10.1155/2012/534276","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/534276","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/534276.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/1355495240","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495240","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:534276","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/534276.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:73585288482d4aa5b4d26eba6adddb45","is_oa":true,"landing_page_url":"https://doaj.org/article/73585288482d4aa5b4d26eba6adddb45","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 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/534276","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/534276","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/534276.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":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","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/G2332937571","display_name":null,"funder_award_id":"LZ12C03001","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"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/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/G6427687688","display_name":null,"funder_award_id":"30970305","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7004695724","display_name":null,"funder_award_id":"31170338","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8678903260","display_name":null,"funder_award_id":"LZ12C03001","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"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2062414047.pdf","grobid_xml":"https://content.openalex.org/works/W2062414047.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1528672889","https://openalex.org/W1964007049","https://openalex.org/W1971188387","https://openalex.org/W1971328647","https://openalex.org/W1971865379","https://openalex.org/W1973512623","https://openalex.org/W1976104276","https://openalex.org/W1978621996","https://openalex.org/W1979616160","https://openalex.org/W1991667705","https://openalex.org/W1997254963","https://openalex.org/W2000910031","https://openalex.org/W2003540088","https://openalex.org/W2006121249","https://openalex.org/W2008434442","https://openalex.org/W2015765687","https://openalex.org/W2015967000","https://openalex.org/W2019978893","https://openalex.org/W2021850768","https://openalex.org/W2025010125","https://openalex.org/W2025652492","https://openalex.org/W2028258427","https://openalex.org/W2039751868","https://openalex.org/W2047994065","https://openalex.org/W2050240106","https://openalex.org/W2056695820","https://openalex.org/W2057254660","https://openalex.org/W2061889818","https://openalex.org/W2072126012","https://openalex.org/W2076600297","https://openalex.org/W2089876099","https://openalex.org/W2093346156","https://openalex.org/W2094331673","https://openalex.org/W2150145189","https://openalex.org/W2312544888","https://openalex.org/W2335720253","https://openalex.org/W2387109683","https://openalex.org/W4248709400"],"related_works":["https://openalex.org/W2391540797","https://openalex.org/W2005355485","https://openalex.org/W2703435152","https://openalex.org/W168375694","https://openalex.org/W1570727143","https://openalex.org/W4379507489","https://openalex.org/W2119092717","https://openalex.org/W2063555990","https://openalex.org/W2002820797","https://openalex.org/W2587625811"],"abstract_inverted_index":{"The":[0],"dynamic":[1],"complexities":[2],"of":[3,21,33,51,58],"an":[4],"Ivlev\u2010type":[5],"prey\u2010predator":[6],"system":[7],"with":[8],"impulsive":[9],"state":[10],"feedback":[11],"control":[12],"are":[13,47],"studied":[14],"analytically":[15],"and":[16,30,44],"numerically.":[17],"Using":[18],"the":[19,22,28,31,41,56,59],"analogue":[20],"Poincar\u00e9":[23],"criterion,":[24],"sufficient":[25],"conditions":[26],"for":[27],"existence":[29],"stability":[32],"semitrivial":[34],"periodic":[35],"solutions":[36],"can":[37],"be":[38],"obtained.":[39],"Furthermore,":[40],"bifurcation":[42],"diagrams":[43,46],"phase":[45],"investigated":[48],"by":[49],"means":[50],"numerical":[52],"simulations,":[53],"which":[54],"illustrate":[55],"feasibility":[57],"main":[60],"results":[61],"presented":[62],"here.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2016-06-24T00:00:00"}