{"id":"https://openalex.org/W2948998209","doi":"https://doi.org/10.1007/s12190-020-01319-6","title":"Local and global dynamics of a fractional-order predator\u2013prey system with habitat complexity and the corresponding discretized fractional-order system","display_name":"Local and global dynamics of a fractional-order predator\u2013prey system with habitat complexity and the corresponding discretized fractional-order system","publication_year":2020,"publication_date":"2020-01-29","ids":{"openalex":"https://openalex.org/W2948998209","doi":"https://doi.org/10.1007/s12190-020-01319-6","mag":"2948998209"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01319-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01319-6","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.01206","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050953865","display_name":"Shuvojit Mondal","orcid":"https://orcid.org/0009-0007-0136-5334"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shuvojit Mondal","raw_affiliation_strings":["Department of Mathematics, Rabindra Mahavidyalaya, Hooghly, 712401, India","Department of Mathematics, Rabindra Mahavidyalaya, Hooghly, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rabindra Mahavidyalaya, Hooghly, 712401, India","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Rabindra Mahavidyalaya, Hooghly, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041344375","display_name":"M. Biswas","orcid":"https://orcid.org/0000-0002-5082-6842"},"institutions":[{"id":"https://openalex.org/I152754861","display_name":"Bose Institute","ror":"https://ror.org/01a5mqy88","country_code":"IN","type":"facility","lineage":["https://openalex.org/I152754861"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Milan Biswas","raw_affiliation_strings":["Department of Mathematics, A.J.C. Bose College, Kolkata, 700020, India","Department of Mathematics, A.J.C. Bose College, Kolkata, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, A.J.C. Bose College, Kolkata, 700020, India","institution_ids":["https://openalex.org/I152754861"]},{"raw_affiliation_string":"Department of Mathematics, A.J.C. Bose College, Kolkata, India","institution_ids":["https://openalex.org/I152754861"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076154607","display_name":"Nandadulal Bairagi","orcid":"https://orcid.org/0000-0001-8867-7996"},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nandadulal Bairagi","raw_affiliation_strings":["Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, 700032, India","Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, 700032, India","institution_ids":["https://openalex.org/I170979836"]},{"raw_affiliation_string":"Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, India","institution_ids":["https://openalex.org/I170979836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00352799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"1-2","first_page":"311","last_page":"340"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9980999827384949,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9901000261306763,"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/mathematics","display_name":"Mathematics","score":0.7044949531555176},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6928496360778809},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.654194712638855},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6536763310432434},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6265219449996948},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5961103439331055},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5761922001838684},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5026059150695801},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4268030822277069},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.4130234718322754},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3346365988254547},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15929454565048218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12668141722679138},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08131793141365051},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06112098693847656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7044949531555176},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6928496360778809},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.654194712638855},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6536763310432434},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6265219449996948},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5961103439331055},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5761922001838684},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5026059150695801},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4268030822277069},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.4130234718322754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3346365988254547},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15929454565048218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12668141722679138},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08131793141365051},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06112098693847656},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s12190-020-01319-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01319-6","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1906.01206","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.01206","pdf_url":"https://arxiv.org/pdf/1906.01206","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},{"id":"mag:2948998209","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1906.01206v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1906.01206","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.01206","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.01206","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.01206","pdf_url":"https://arxiv.org/pdf/1906.01206","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.6899999976158142,"display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G4210079296","display_name":null,"funder_award_id":"RUSA 2.0","funder_id":"https://openalex.org/F4320311382","funder_display_name":"Jadavpur University"}],"funders":[{"id":"https://openalex.org/F4320311382","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2948998209.pdf","grobid_xml":"https://content.openalex.org/works/W2948998209.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W575047136","https://openalex.org/W1198550170","https://openalex.org/W1509146820","https://openalex.org/W1963581131","https://openalex.org/W1965802924","https://openalex.org/W1970952716","https://openalex.org/W1978349032","https://openalex.org/W1982281048","https://openalex.org/W1990033217","https://openalex.org/W1998521659","https://openalex.org/W2000071648","https://openalex.org/W2012748134","https://openalex.org/W2015687261","https://openalex.org/W2034058244","https://openalex.org/W2036442409","https://openalex.org/W2036891784","https://openalex.org/W2052125279","https://openalex.org/W2057414857","https://openalex.org/W2058860728","https://openalex.org/W2065991528","https://openalex.org/W2072583653","https://openalex.org/W2076636998","https://openalex.org/W2082493989","https://openalex.org/W2091068413","https://openalex.org/W2094187171","https://openalex.org/W2115419908","https://openalex.org/W2128050256","https://openalex.org/W2133600525","https://openalex.org/W2150515146","https://openalex.org/W2151938601","https://openalex.org/W2218022704","https://openalex.org/W2218333045","https://openalex.org/W2278107187","https://openalex.org/W2336527201","https://openalex.org/W2402691489","https://openalex.org/W2476959674","https://openalex.org/W2560236709","https://openalex.org/W2739278678","https://openalex.org/W2744659348","https://openalex.org/W2754088145","https://openalex.org/W2786091816","https://openalex.org/W2787959293","https://openalex.org/W2788851478","https://openalex.org/W2791375747","https://openalex.org/W2920908717","https://openalex.org/W4253062931"],"related_works":["https://openalex.org/W3004400471","https://openalex.org/W3159310200","https://openalex.org/W3043099883","https://openalex.org/W2923788693","https://openalex.org/W2624866589","https://openalex.org/W3010844993","https://openalex.org/W3158020805","https://openalex.org/W3113577812","https://openalex.org/W2990187375","https://openalex.org/W3175028038","https://openalex.org/W2289210061","https://openalex.org/W3119986311","https://openalex.org/W3031240559","https://openalex.org/W2900723220","https://openalex.org/W2980125461","https://openalex.org/W3207740706","https://openalex.org/W3210430884","https://openalex.org/W2790581532","https://openalex.org/W2907266803","https://openalex.org/W3121354145"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}