{"id":"https://openalex.org/W7122707950","doi":"https://doi.org/10.1155/cplx/7366836","title":"Incorporating Memory Effects in Population Ecology Using Fractional Derivatives: Stability Perspectives, Bifurcations, and Chaos Control","display_name":"Incorporating Memory Effects in Population Ecology Using Fractional Derivatives: Stability Perspectives, Bifurcations, and Chaos Control","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7122707950","doi":"https://doi.org/10.1155/cplx/7366836"},"language":"en","primary_location":{"id":"doi:10.1155/cplx/7366836","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/7366836","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/7366836","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"],"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":"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/7366836","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5122836253","display_name":"S. M. Sohel Rana","orcid":null},"institutions":[{"id":"https://openalex.org/I205746353","display_name":"University of Dhaka","ror":"https://ror.org/05wv2vq37","country_code":"BD","type":"education","lineage":["https://openalex.org/I205746353"]}],"countries":["BD"],"is_corresponding":true,"raw_author_name":"S. M. Sohel Rana","raw_affiliation_strings":["Department of Mathematics ,  University of Dhaka ,  Dhaka ,  1000 ,  Bangladesh ,  du.ac.bd"],"raw_orcid":"https://orcid.org/0000-0002-6657-2269","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  University of Dhaka ,  Dhaka ,  1000 ,  Bangladesh ,  du.ac.bd","institution_ids":["https://openalex.org/I205746353"]}]},{"author_position":"last","author":{"id":null,"display_name":"Md. Jasim Uddin","orcid":"https://orcid.org/0000-0001-7503-481X"},"institutions":[{"id":"https://openalex.org/I205746353","display_name":"University of Dhaka","ror":"https://ror.org/05wv2vq37","country_code":"BD","type":"education","lineage":["https://openalex.org/I205746353"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"Md. Jasim Uddin","raw_affiliation_strings":["Department of Mathematics ,  University of Dhaka ,  Dhaka ,  1000 ,  Bangladesh ,  du.ac.bd"],"raw_orcid":"https://orcid.org/0000-0001-7503-481X","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  University of Dhaka ,  Dhaka ,  1000 ,  Bangladesh ,  du.ac.bd","institution_ids":["https://openalex.org/I205746353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5122836253"],"corresponding_institution_ids":["https://openalex.org/I205746353"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05844108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2026","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":0.9492999911308289,"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":0.9492999911308289,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.014399999752640724,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11913","display_name":"Animal Ecology and Behavior Studies","score":0.010599999688565731,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5705999732017517},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48840001225471497},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4797999858856201},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.47209998965263367},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.46299999952316284},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.45879998803138733},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4546999931335449},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4332999885082245},{"id":"https://openalex.org/keywords/theoretical-ecology","display_name":"Theoretical ecology","score":0.4269999861717224}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5705999732017517},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48840001225471497},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.4844000041484833},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4797999858856201},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.47209998965263367},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.46299999952316284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45969998836517334},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.45879998803138733},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4546999931335449},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4332999885082245},{"id":"https://openalex.org/C49539007","wikidata":"https://www.wikidata.org/wiki/Q7782365","display_name":"Theoretical ecology","level":3,"score":0.4269999861717224},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.42669999599456787},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.4140999913215637},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.41260001063346863},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.3874000012874603},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.38370001316070557},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3815000057220459},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C92866567","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaos theory","level":3,"score":0.3513999879360199},{"id":"https://openalex.org/C47318914","wikidata":"https://www.wikidata.org/wiki/Q295872","display_name":"Ecological systems theory","level":2,"score":0.3506999909877777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3086000084877014},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.30790001153945923},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2842000126838684},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.2653999924659729},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.26089999079704285}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/cplx/7366836","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/7366836","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/7366836","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"],"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":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7a7496bbfda046cdadf1d4abc9cd39bb","is_oa":true,"landing_page_url":"https://doaj.org/article/7a7496bbfda046cdadf1d4abc9cd39bb","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 2026 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/cplx/7366836","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/7366836","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/7366836","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"],"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":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5740901827812195,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G3676078086","display_name":null,"funder_award_id":"BS/EAS/ES/ID/MS/PS/2024-2025/SRG-246492","funder_id":"https://openalex.org/F4320325390","funder_display_name":"Ministry of Science and Technology, Government of the People\u2019s Republic of Bangladesh"}],"funders":[{"id":"https://openalex.org/F4320325390","display_name":"Ministry of Science and Technology, Government of the People\u2019s Republic of Bangladesh","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7122707950.pdf","grobid_xml":"https://content.openalex.org/works/W7122707950.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W149398130","https://openalex.org/W2025904721","https://openalex.org/W2069149364","https://openalex.org/W2099631180","https://openalex.org/W2131915744","https://openalex.org/W2156088441","https://openalex.org/W2293912636","https://openalex.org/W2486752527","https://openalex.org/W2808955381","https://openalex.org/W3160692076","https://openalex.org/W3203023438","https://openalex.org/W3204966521","https://openalex.org/W4206642481","https://openalex.org/W4220830790","https://openalex.org/W4240465921","https://openalex.org/W4385271932","https://openalex.org/W4386157694","https://openalex.org/W4388043184","https://openalex.org/W4389043299","https://openalex.org/W4389320276","https://openalex.org/W4391426777","https://openalex.org/W4391468787","https://openalex.org/W4394719167","https://openalex.org/W4404514293","https://openalex.org/W4407816107","https://openalex.org/W4408099047","https://openalex.org/W4411533662"],"related_works":[],"abstract_inverted_index":{"This":[0],"study":[1,73,125],"investigates":[2],"a":[3,93],"discrete\u2010time":[4],"predator\u2013prey":[5],"model":[6],"that":[7,108],"includes":[8],"both":[9],"prey":[10,117],"refuge":[11,118],"and":[12,25,45,54,76,132],"memory":[13],"effects.":[14],"The":[15,105,124],"research":[16],"identifies":[17],"the":[18,59,77,87,103],"conditions":[19],"under":[20],"which":[21],"fixed":[22,61],"points":[23],"exist":[24],"remain":[26],"stable.":[27],"A":[28],"key":[29,112],"focus":[30],"is":[31,70,96,111],"placed":[32],"on":[33,122],"analyzing":[34],"different":[35],"types":[36],"of":[37],"bifurcation\u2014such":[38],"as":[39],"period":[40],"doubling":[41],"(PD),":[42],"Neimark\u2013Sacker":[43],"(NS),":[44],"strong":[46],"resonances":[47],"(1":[48],":":[49,52,56],"2,":[50],"1":[51,55],"3,":[53],"4)\u2014occurring":[57],"at":[58],"positive":[60],"point":[62],"to":[63,72,98,113],"uncover":[64],"their":[65],"ecological":[66,114],"significance.":[67],"Bifurcation":[68],"theory":[69],"applied":[71],"these":[74],"dynamics,":[75],"theoretical":[78],"findings":[79],"are":[80],"validated":[81],"through":[82],"numerical":[83],"simulations":[84],"performed":[85],"with":[86],"MATLAB":[88],"tool":[89],"MatContM.":[90],"In":[91],"addition,":[92],"control":[94],"mechanism":[95],"introduced":[97],"mitigate":[99],"severe":[100],"instabilities":[101],"within":[102],"system.":[104],"results":[106],"show":[107],"predation":[109],"rate":[110],"balance,":[115],"while":[116],"has":[119],"limited":[120],"impact":[121],"stability.":[123],"offers":[126],"important":[127],"insights":[128],"for":[129],"conserving":[130],"biodiversity":[131],"managing":[133],"ecosystems.":[134]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2026-01-13T00:00:00"}