{"id":"https://openalex.org/W2092092070","doi":"https://doi.org/10.1155/2014/107565","title":"Bifurcation Analysis and Control of a Differential-Algebraic Predator-Prey Model with Allee Effect and Time Delay","display_name":"Bifurcation Analysis and Control of a Differential-Algebraic Predator-Prey Model with Allee Effect and Time Delay","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2092092070","doi":"https://doi.org/10.1155/2014/107565","mag":"2092092070"},"language":"en","primary_location":{"id":"doi:10.1155/2014/107565","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/107565","pdf_url":"http://downloads.hindawi.com/journals/jam/2014/107565.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","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":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/jam/2014/107565.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100445873","display_name":"Xue Zhang","orcid":"https://orcid.org/0000-0003-2663-5234"},"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":true,"raw_author_name":"Xue Zhang","raw_affiliation_strings":["Department of Science, Northeastern University, No. 3-11, Wenhua Road, Heping District, Shenyang, Liaoning 110004, China"],"raw_orcid":"https://orcid.org/0000-0003-2663-5234","affiliations":[{"raw_affiliation_string":"Department of Science, Northeastern University, No. 3-11, Wenhua Road, Heping District, Shenyang, Liaoning 110004, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","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":"Qing-ling Zhang","raw_affiliation_strings":["Department of Science, Northeastern University, No. 3-11, Wenhua Road, Heping District, Shenyang, Liaoning 110004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Science, Northeastern University, No. 3-11, Wenhua Road, Heping District, Shenyang, Liaoning 110004, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100445873"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.3173,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68877208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"11"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9908999800682068,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9818000197410583,"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/allee-effect","display_name":"Allee effect","score":0.9652829170227051},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7010962963104248},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6503098011016846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6237961053848267},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5150020122528076},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5087273716926575},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49257761240005493},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4677234888076782},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4209103584289551},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3329472243785858},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2583314776420593},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20894789695739746},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20510253310203552},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19382986426353455},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1167672872543335},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.1071310043334961}],"concepts":[{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.9652829170227051},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7010962963104248},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6503098011016846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6237961053848267},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5150020122528076},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5087273716926575},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49257761240005493},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4677234888076782},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4209103584289551},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3329472243785858},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2583314776420593},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20894789695739746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20510253310203552},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19382986426353455},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1167672872543335},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.1071310043334961},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/107565","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/107565","pdf_url":"http://downloads.hindawi.com/journals/jam/2014/107565.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","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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305577","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305577","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:107565","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/107565.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:e7ed64d48522439d9e9aeedebdbdb8a9","is_oa":true,"landing_page_url":"https://doaj.org/article/e7ed64d48522439d9e9aeedebdbdb8a9","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":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/107565","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/107565","pdf_url":"http://downloads.hindawi.com/journals/jam/2014/107565.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","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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G1534747038","display_name":null,"funder_award_id":"N120405009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6708097500","display_name":null,"funder_award_id":"61273008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8938648750","display_name":null,"funder_award_id":"20131026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2092092070.pdf","grobid_xml":"https://content.openalex.org/works/W2092092070.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1963669993","https://openalex.org/W1966880675","https://openalex.org/W1968095705","https://openalex.org/W1983935508","https://openalex.org/W1998694266","https://openalex.org/W2006690779","https://openalex.org/W2006693375","https://openalex.org/W2041091952","https://openalex.org/W2055010361","https://openalex.org/W2067897482","https://openalex.org/W2074614516","https://openalex.org/W2076214630","https://openalex.org/W2081999679","https://openalex.org/W2089876099","https://openalex.org/W2094436507","https://openalex.org/W2104557633","https://openalex.org/W2111738789","https://openalex.org/W2127513531","https://openalex.org/W2162506793","https://openalex.org/W2164334080","https://openalex.org/W3088713371"],"related_works":["https://openalex.org/W2735032095","https://openalex.org/W2107190886","https://openalex.org/W2187747741","https://openalex.org/W2774394389","https://openalex.org/W8757030","https://openalex.org/W2600193926","https://openalex.org/W3194217620","https://openalex.org/W4292054940","https://openalex.org/W2963652880","https://openalex.org/W3110571211"],"abstract_inverted_index":{"This":[0,31],"paper":[1],"studies":[2],"systematically":[3],"a":[4,21,73,82,103,129],"differential-algebraic":[5,126],"prey-predator":[6],"model":[7,32,80,94],"with":[8],"time":[9,26,77,90],"delay":[10,91],"and":[11,95],"Allee":[12,63],"effect.":[13],"It":[14,49],"shows":[15],"that":[16,53,85],"transcritical":[17],"bifurcation":[18,37],"appears":[19],"when":[20],"variation":[22],"of":[23,76,89,142],"predator":[24],"handling":[25],"is":[27,121],"taken":[28],"into":[29,97],"account.":[30],"also":[33],"exhibits":[34],"singular":[35],"induced":[36],"as":[38],"the":[39,54,69,79,87,93,115,125,140,143],"economic":[40],"revenue":[41],"increases":[42],"through":[43],"zero,":[44],"which":[45,109],"causes":[46],"impulsive":[47,55],"phenomenon.":[48],"can":[50,57,110],"be":[51,58,111],"noted":[52],"phenomenon":[56],"much":[59],"weaker":[60],"by":[61,113,133],"strengthening":[62],"effect":[64],"in":[65],"numerical":[66,137],"simulation.":[67],"On":[68],"other":[70],"hand,":[71],"at":[72],"critical":[74],"value":[75],"delay,":[78],"undergoes":[81],"Hopf":[83],"bifurcation;":[84],"is,":[86],"increase":[88],"destabilizes":[92],"bifurcates":[96],"small":[98],"amplitude":[99],"periodic":[100],"solution.":[101],"Moreover,":[102],"state":[104],"delayed":[105],"feedback":[106],"control":[107],"method,":[108],"implemented":[112],"adjusting":[114],"harvesting":[116],"effort":[117],"for":[118],"biological":[119],"populations,":[120],"proposed":[122],"to":[123,128],"drive":[124],"system":[127],"steady":[130],"state.":[131],"Finally,":[132],"using":[134],"Matlab":[135],"software,":[136],"simulations":[138],"illustrate":[139],"effectiveness":[141],"results.":[144]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}