{"id":"https://openalex.org/W3082800164","doi":"https://doi.org/10.1142/s0218127420501497","title":"Complex Dynamics of a Discrete-Time Prey\u2013Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos","display_name":"Complex Dynamics of a Discrete-Time Prey\u2013Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos","publication_year":2020,"publication_date":"2020-08-01","ids":{"openalex":"https://openalex.org/W3082800164","doi":"https://doi.org/10.1142/s0218127420501497","mag":"3082800164"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420501497","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420501497","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/A5054149265","display_name":"Pinar Baydemir","orcid":"https://orcid.org/0000-0001-6346-5188"},"institutions":[{"id":"https://openalex.org/I13236232","display_name":"TOBB University of Economics and Technology","ror":"https://ror.org/03ewx7v96","country_code":"TR","type":"education","lineage":["https://openalex.org/I13236232"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Pinar Baydemir","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey","institution_ids":["https://openalex.org/I13236232"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005319900","display_name":"H. Merdan","orcid":"https://orcid.org/0000-0003-2311-5348"},"institutions":[{"id":"https://openalex.org/I13236232","display_name":"TOBB University of Economics and Technology","ror":"https://ror.org/03ewx7v96","country_code":"TR","type":"education","lineage":["https://openalex.org/I13236232"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Huseyin Merdan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-2311-5348","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey","institution_ids":["https://openalex.org/I13236232"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073236605","display_name":"Esra Karao\u011flu","orcid":"https://orcid.org/0000-0003-2939-1829"},"institutions":[{"id":"https://openalex.org/I4210145505","display_name":"University of Turkish Aeronautical Association","ror":"https://ror.org/055p14r26","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210145505"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Esra Karaoglu","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, University of Turkish Aeronautical Association, Ankara 06790, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, University of Turkish Aeronautical Association, Ankara 06790, Turkey","institution_ids":["https://openalex.org/I4210145505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006599588","display_name":"Gokce Sucu","orcid":null},"institutions":[{"id":"https://openalex.org/I13236232","display_name":"TOBB University of Economics and Technology","ror":"https://ror.org/03ewx7v96","country_code":"TR","type":"education","lineage":["https://openalex.org/I13236232"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Gokce Sucu","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey","institution_ids":["https://openalex.org/I13236232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005319900"],"corresponding_institution_ids":["https://openalex.org/I13236232"],"apc_list":null,"apc_paid":null,"fwci":2.5242,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.90321088,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"30","issue":"10","first_page":"2050149","last_page":"2050149"},"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":0.9947999715805054,"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":0.9914000034332275,"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/mathematics","display_name":"Mathematics","score":0.7358677983283997},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.6391562223434448},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6322367191314697},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5231836438179016},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.5190237760543823},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4795807898044586},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4754057824611664},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.47176602482795715},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.45705294609069824},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4510658085346222},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4423363208770752},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.4152825176715851},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4061439037322998},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36375725269317627},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3591586947441101},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.2632981538772583},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1287878155708313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11364978551864624},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09887537360191345},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.08197802305221558}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7358677983283997},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.6391562223434448},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6322367191314697},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5231836438179016},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.5190237760543823},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4795807898044586},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4754057824611664},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.47176602482795715},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.45705294609069824},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4510658085346222},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4423363208770752},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.4152825176715851},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4061439037322998},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36375725269317627},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3591586947441101},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.2632981538772583},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1287878155708313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11364978551864624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09887537360191345},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.08197802305221558},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/s0218127420501497","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420501497","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W370471672","https://openalex.org/W1969672820","https://openalex.org/W1971557578","https://openalex.org/W1985122168","https://openalex.org/W2002944058","https://openalex.org/W2003858003","https://openalex.org/W2007597515","https://openalex.org/W2008067109","https://openalex.org/W2013215649","https://openalex.org/W2014613576","https://openalex.org/W2014804707","https://openalex.org/W2015333868","https://openalex.org/W2025904721","https://openalex.org/W2031706507","https://openalex.org/W2046999581","https://openalex.org/W2052189521","https://openalex.org/W2056942998","https://openalex.org/W2065705412","https://openalex.org/W2072583653","https://openalex.org/W2077608164","https://openalex.org/W2081642807","https://openalex.org/W2102892532","https://openalex.org/W2128050256","https://openalex.org/W2158758459","https://openalex.org/W2316904041","https://openalex.org/W2531530510","https://openalex.org/W2564280068","https://openalex.org/W2605543710","https://openalex.org/W2805110800","https://openalex.org/W2903942731","https://openalex.org/W2938710160","https://openalex.org/W2978155004","https://openalex.org/W3103902164","https://openalex.org/W4206651839","https://openalex.org/W4229497514","https://openalex.org/W4237997615","https://openalex.org/W4310301864"],"related_works":["https://openalex.org/W2159151868","https://openalex.org/W2546487931","https://openalex.org/W2019027784","https://openalex.org/W4245057904","https://openalex.org/W2121607148","https://openalex.org/W4312595290","https://openalex.org/W2514803675","https://openalex.org/W1983797254","https://openalex.org/W2788296226","https://openalex.org/W2394226414"],"abstract_inverted_index":{"Dynamic":[0],"behavior":[1],"of":[2,33,36,44,110],"a":[3,68,104,111],"discrete-time":[4],"prey\u2013predator":[5],"system":[6,38],"with":[7],"Leslie":[8],"type":[9],"is":[10],"analyzed.":[11],"The":[12],"discrete":[13,112],"mathematical":[14],"model":[15],"was":[16],"obtained":[17],"by":[18,62],"applying":[19],"the":[20,29,42,92,108,119],"forward":[21],"Euler":[22],"scheme":[23],"to":[24,88],"its":[25],"continuous-time":[26],"counterpart.":[27],"First,":[28],"local":[30],"stability":[31],"conditions":[32,43],"equilibrium":[34,56],"point":[35,57],"this":[37,54],"are":[39,58,73,86],"determined.":[40],"Then,":[41],"existence":[45],"for":[46],"flip":[47],"bifurcation":[48,51,69],"and":[49,79,90],"Neimark\u2013Sacker":[50],"arising":[52],"from":[53],"positive":[55],"investigated.":[59],"More":[60],"specifically,":[61],"choosing":[63],"integral":[64,100,120],"step":[65,101,121],"size":[66,102,122],"as":[67],"parameter,":[70],"these":[71],"bifurcations":[72],"driven":[74],"via":[75],"center":[76],"manifold":[77],"theorem":[78],"normal":[80],"form":[81],"theory.":[82],"Finally,":[83],"numerical":[84],"simulations":[85,115],"performed":[87],"support":[89,116],"extend":[91],"theoretical":[93],"results.":[94],"Analytical":[95],"results":[96],"show":[97],"that":[98,117],"an":[99],"has":[103],"significant":[105],"role":[106],"on":[107],"dynamics":[109],"system.":[113],"Numerical":[114],"enlarging":[118],"causes":[123],"chaotic":[124],"behavior.":[125]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
