{"id":"https://openalex.org/W4394009616","doi":"https://doi.org/10.1007/s12190-024-02057-9","title":"Stability analysis of a three-dimensional system of difference equations with quadratic terms","display_name":"Stability analysis of a three-dimensional system of difference equations with quadratic terms","publication_year":2024,"publication_date":"2024-04-06","ids":{"openalex":"https://openalex.org/W4394009616","doi":"https://doi.org/10.1007/s12190-024-02057-9"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02057-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-024-02057-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-024-02057-9.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s12190-024-02057-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018986955","display_name":"Yasin Yazl\u0131k","orcid":"https://orcid.org/0000-0001-6369-540X"},"institutions":[{"id":"https://openalex.org/I1281109512","display_name":"Nev\u015fehir Hac\u0131 Bekta\u015f Veli University","ror":"https://ror.org/019jds967","country_code":"TR","type":"education","lineage":["https://openalex.org/I1281109512"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Yasin Yazl\u0131k","raw_affiliation_strings":["Department of Mathematics, Nev\u015fehir Hac\u0131 Bekta\u015f Veli University, 50300, Nev\u015fehir, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-6369-540X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nev\u015fehir Hac\u0131 Bekta\u015f Veli University, 50300, Nev\u015fehir, Turkey","institution_ids":["https://openalex.org/I1281109512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5095095114","display_name":"Mehmet Cengiz Fidanc\u0131","orcid":null},"institutions":[{"id":"https://openalex.org/I1281109512","display_name":"Nev\u015fehir Hac\u0131 Bekta\u015f Veli University","ror":"https://ror.org/019jds967","country_code":"TR","type":"education","lineage":["https://openalex.org/I1281109512"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mehmet Cengiz Fidanc\u0131","raw_affiliation_strings":["Department of Mathematics, Nev\u015fehir Hac\u0131 Bekta\u015f Veli University, 50300, Nev\u015fehir, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nev\u015fehir Hac\u0131 Bekta\u015f Veli University, 50300, Nev\u015fehir, Turkey","institution_ids":["https://openalex.org/I1281109512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103174821","display_name":"Murad Khan Hassani","orcid":"https://orcid.org/0009-0003-6122-1595"},"institutions":[{"id":"https://openalex.org/I1281109512","display_name":"Nev\u015fehir Hac\u0131 Bekta\u015f Veli University","ror":"https://ror.org/019jds967","country_code":"TR","type":"education","lineage":["https://openalex.org/I1281109512"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Murad Khan Hassani","raw_affiliation_strings":["Department of Mathematics, Nev\u015fehir Hac\u0131 Bekta\u015f Veli University, 50300, Nev\u015fehir, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nev\u015fehir Hac\u0131 Bekta\u015f Veli University, 50300, Nev\u015fehir, Turkey","institution_ids":["https://openalex.org/I1281109512"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018986955"],"corresponding_institution_ids":["https://openalex.org/I1281109512"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.9895,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85562945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"70","issue":"3","first_page":"2521","last_page":"2539"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9926000237464905,"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/quadratic-equation","display_name":"Quadratic equation","score":0.6173341870307922},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.60249924659729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.577911376953125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4580496847629547},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3332694470882416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22687798738479614},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11160889267921448}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6173341870307922},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.60249924659729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.577911376953125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4580496847629547},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3332694470882416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22687798738479614},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11160889267921448},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02057-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-024-02057-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-024-02057-9.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 and Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s12190-024-02057-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12190-024-02057-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12190-024-02057-9.pdf","source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394009616.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W638828254","https://openalex.org/W1608917902","https://openalex.org/W1699706581","https://openalex.org/W2005264628","https://openalex.org/W2024420873","https://openalex.org/W2028688331","https://openalex.org/W2068753480","https://openalex.org/W2136858156","https://openalex.org/W2219599791","https://openalex.org/W2794096607","https://openalex.org/W2999192434","https://openalex.org/W3037378667","https://openalex.org/W3091810895","https://openalex.org/W3092049505","https://openalex.org/W3131643013","https://openalex.org/W3156299360","https://openalex.org/W3185256889","https://openalex.org/W4237086096","https://openalex.org/W4311453646","https://openalex.org/W4362510771","https://openalex.org/W4381705082","https://openalex.org/W4386997613"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885","https://openalex.org/W2785906022"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"study":[2],"is":[3],"involved":[4],"with":[5],"a":[6],"class":[7],"of":[8,11,32,40,43,63,89],"three-dimensional":[9],"system":[10],"difference":[12],"equations":[13],"incorporating":[14],"quadratic":[15],"term,":[16],"which":[17,66],"naturally":[18],"extends":[19],"and":[20,38,60,87],"improve":[21],"several":[22],"results":[23],"in":[24,71],"the":[25,30,35,44,53,61,72,85,90],"literature.":[26],"Firstly,":[27],"we":[28,51],"demonstrate":[29],"existence":[31],"fixed":[33,58],"points,":[34],"boundedness,":[36],"persistence":[37],"invariance":[39],"positive":[41],"solution":[42],"mentioned":[45],"system.":[46],"Later,":[47],"for":[48],"this":[49],"system,":[50],"give":[52],"global":[54],"asymptotic":[55],"stability":[56],"at":[57],"point":[59],"rate":[62],"convergence":[64],"result":[65],"play":[67],"an":[68],"important":[69],"role":[70],"discrete":[73],"dynamical":[74],"systems.":[75],"And":[76],"lastly,":[77],"some":[78],"numerical":[79],"examples":[80],"are":[81],"given":[82],"to":[83],"validate":[84],"effectiveness":[86],"feasibility":[88],"theoretical":[91],"findings.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-25T08:39:21.599409","created_date":"2025-10-10T00:00:00"}