{"id":"https://openalex.org/W4416276423","doi":"https://doi.org/10.1155/cplx/2274956","title":"Dynamics of an Aquaculture Model With Impulsive Harvesting of Predators and Density\u2010Dependent Nonlinear Release of Prey","display_name":"Dynamics of an Aquaculture Model With Impulsive Harvesting of Predators and Density\u2010Dependent Nonlinear Release of Prey","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4416276423","doi":"https://doi.org/10.1155/cplx/2274956"},"language":"en","primary_location":{"id":"doi:10.1155/cplx/2274956","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/2274956","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/2274956","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/2274956","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113311079","display_name":"Zeli Zhou","orcid":"https://orcid.org/0009-0005-1046-0080"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeli Zhou","raw_affiliation_strings":["School of Mathematics and Statistics ,  Guizhou University of Finance and Economics ,  Guiyang ,  550025 ,  China , gufe.edu.cn"],"raw_orcid":"https://orcid.org/0009-0005-1046-0080","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics ,  Guizhou University of Finance and Economics ,  Guiyang ,  550025 ,  China , gufe.edu.cn","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008228591","display_name":"Jianjun Jiao","orcid":"https://orcid.org/0000-0002-4208-9598"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianjun Jiao","raw_affiliation_strings":["School of Mathematics and Statistics ,  Guizhou University of Finance and Economics ,  Guiyang ,  550025 ,  China , gufe.edu.cn"],"raw_orcid":"https://orcid.org/0000-0002-4208-9598","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics ,  Guizhou University of Finance and Economics ,  Guiyang ,  550025 ,  China , gufe.edu.cn","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006773243","display_name":"Xiangjun Dai","orcid":"https://orcid.org/0000-0001-7943-4941"},"institutions":[{"id":"https://openalex.org/I4210128208","display_name":"Tongren University","ror":"https://ror.org/035hxad97","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128208"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangjun Dai","raw_affiliation_strings":["School of Date Science ,  Tongren University ,  Tongren ,  554300 ,  China , gztrc.edu.cn"],"raw_orcid":"https://orcid.org/0000-0001-7943-4941","affiliations":[{"raw_affiliation_string":"School of Date Science ,  Tongren University ,  Tongren ,  554300 ,  China , gztrc.edu.cn","institution_ids":["https://openalex.org/I4210128208"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008228591"],"corresponding_institution_ids":["https://openalex.org/I170172562"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":1.0188,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81451154,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"2025","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":0.979200005531311,"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":0.979200005531311,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.007199999876320362,"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/T13350","display_name":"Myxozoan Parasites in Aquatic Species","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/1306","display_name":"Cancer Research"},"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/floquet-theory","display_name":"Floquet theory","score":0.8471999764442444},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.649399995803833},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6238999962806702},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6211000084877014},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.6186000108718872},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.5418000221252441},{"id":"https://openalex.org/keywords/comparison-theorem","display_name":"Comparison theorem","score":0.4611999988555908},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4596000015735626},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3693999946117401}],"concepts":[{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.8471999764442444},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.649399995803833},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6238999962806702},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6211000084877014},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.6186000108718872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5623000264167786},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.5418000221252441},{"id":"https://openalex.org/C2779396167","wikidata":"https://www.wikidata.org/wiki/Q5156040","display_name":"Comparison theorem","level":2,"score":0.4611999988555908},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4596000015735626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4185999929904938},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3693999946117401},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.3531000018119812},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.33730000257492065},{"id":"https://openalex.org/C86909935","wikidata":"https://www.wikidata.org/wiki/Q188989","display_name":"Aquaculture","level":3,"score":0.33570000529289246},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3111000061035156},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3084000051021576},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2930999994277954},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.2824000120162964},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.2718999981880188},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.2709999978542328},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.26260000467300415},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.2574000060558319},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.2558000087738037}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/cplx/2274956","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/2274956","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/2274956","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:49f163dbb37a474da9f90e25c3779009","is_oa":true,"landing_page_url":"https://doaj.org/article/49f163dbb37a474da9f90e25c3779009","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2025 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/cplx/2274956","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/2274956","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/2274956","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4046957608","display_name":null,"funder_award_id":"12261018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G495255098","display_name":null,"funder_award_id":"2024XSXMA08","funder_id":"https://openalex.org/F4320324883","funder_display_name":"Guizhou University of Finance and Economics"},{"id":"https://openalex.org/G5579808281","display_name":null,"funder_award_id":"2025BAZYSY220","funder_id":"https://openalex.org/F4320324883","funder_display_name":"Guizhou University of Finance and Economics"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321927","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916"},{"id":"https://openalex.org/F4320324883","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416276423.pdf","grobid_xml":"https://content.openalex.org/works/W4416276423.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1250172374","https://openalex.org/W1968786866","https://openalex.org/W1986759107","https://openalex.org/W1991667705","https://openalex.org/W1999480868","https://openalex.org/W2028739702","https://openalex.org/W2034167224","https://openalex.org/W2044158535","https://openalex.org/W2060005852","https://openalex.org/W2062889242","https://openalex.org/W2065574360","https://openalex.org/W2069229680","https://openalex.org/W2174199445","https://openalex.org/W2220779735","https://openalex.org/W2297453622","https://openalex.org/W2528912016","https://openalex.org/W2765632943","https://openalex.org/W2789681097","https://openalex.org/W2806637425","https://openalex.org/W2977808367","https://openalex.org/W3042855278","https://openalex.org/W3101365517","https://openalex.org/W3139026324","https://openalex.org/W4285495617","https://openalex.org/W4308150500","https://openalex.org/W4362630966","https://openalex.org/W4385257902","https://openalex.org/W4388031439","https://openalex.org/W4395079888","https://openalex.org/W4401112338","https://openalex.org/W4402941208","https://openalex.org/W4405212058","https://openalex.org/W4407851680","https://openalex.org/W4409349044","https://openalex.org/W4409433513","https://openalex.org/W4411031186"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,81],"propose":[4],"an":[5],"aquaculture":[6,173],"model":[7,55],"with":[8,74],"impulsive":[9,66,76,104,121,148],"harvesting":[10],"predator":[11],"and":[12,24,49,61,115,124,150],"density\u2010dependent":[13],"nonlinear":[14],"releasing":[15],"prey.":[16],"By":[17],"taking":[18],"advantage":[19],"of":[20,44,53,65,119,134,161],"the":[21,27,40,45,51,54,62,75,86,103,112,117,120,125,131,135,147,151,158,162],"stroboscopic":[22],"map":[23],"Cardano\u2019s":[25],"formula,":[26],"predator\u2010extinction":[28,46,91],"periodic":[29,47,92,97],"solution":[30,48,93],"is":[31],"derived":[32],"for":[33,39,50,171],"three":[34],"different":[35],"cases.":[36],"The":[37,142],"conditions":[38,83],"global":[41],"asymptotic":[42],"stability":[43],"permanence":[52],"are":[56,140],"obtained":[57],"using":[58,71],"Floquet":[59],"theory":[60,73],"comparison":[63],"theorem":[64],"differential":[67],"equations,":[68],"respectively.":[69],"Furthermore,":[70],"bifurcation":[72],"period":[77,105,123,149],"as":[78,102],"a":[79,90,95,107,167],"parameter,":[80],"establish":[82],"under":[84],"which":[85],"system":[87],"bifurcates":[88],"from":[89],"to":[94],"positive":[96],"solution,":[98],"signifying":[99],"prey\u2013predator":[100],"coexistence":[101],"crosses":[106],"critical":[108],"value.":[109],"To":[110],"demonstrate":[111],"main":[113],"results":[114,143],"investigate":[116],"effects":[118],"control":[122],"maximum":[126,152],"prey":[127,153],"release":[128,154],"amount":[129,155],"on":[130],"dynamic":[132,159],"behavior":[133,160],"investigated":[136],"model,":[137],"numerical":[138],"simulations":[139],"conducted.":[141],"show":[144],"that":[145],"both":[146],"significantly":[156],"affect":[157],"model.":[163],"These":[164],"findings":[165],"provide":[166],"reliable":[168],"theoretical":[169],"basis":[170],"practical":[172],"management.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-11-17T00:00:00"}
