{"id":"https://openalex.org/W2162559398","doi":"https://doi.org/10.1142/s0218127412501398","title":"AN EFFICIENT AND ACCURATE NUMERICAL SCHEME FOR TURING INSTABILITY ON A PREDATOR\u2013PREY MODEL","display_name":"AN EFFICIENT AND ACCURATE NUMERICAL SCHEME FOR TURING INSTABILITY ON A PREDATOR\u2013PREY MODEL","publication_year":2012,"publication_date":"2012-04-23","ids":{"openalex":"https://openalex.org/W2162559398","doi":"https://doi.org/10.1142/s0218127412501398","mag":"2162559398"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412501398","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501398","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/A5110290713","display_name":"Ana Yun","orcid":null},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"ANA YUN","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul 136-701, Seoul, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul 136-701, Seoul, Korea","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069818290","display_name":"Darae Jeong","orcid":"https://orcid.org/0000-0002-9931-1137"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"DARAE JEONG","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul 136-701, Seoul, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul 136-701, Seoul, Korea","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100698865","display_name":"Junseok Kim","orcid":"https://orcid.org/0000-0002-0484-9189"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"JUNSEOK KIM","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul 136-701, Seoul, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul 136-701, Seoul, Korea","institution_ids":["https://openalex.org/I197347611"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100698865"],"corresponding_institution_ids":["https://openalex.org/I197347611"],"apc_list":null,"apc_paid":null,"fwci":0.6041,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75802938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"06","first_page":"1250139","last_page":"1250139"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9986000061035156,"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":0.9948999881744385,"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/discretization","display_name":"Discretization","score":0.7363085746765137},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.7122376561164856},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6445236206054688},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.6400608420372009},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5981205701828003},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5180266499519348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5154043436050415},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.5043803453445435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40369129180908203},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2230737805366516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06638675928115845}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7363085746765137},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.7122376561164856},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6445236206054688},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.6400608420372009},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5981205701828003},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5180266499519348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5154043436050415},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5043803453445435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40369129180908203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2230737805366516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06638675928115845},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412501398","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501398","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":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1964625848","https://openalex.org/W1969027200","https://openalex.org/W1969965784","https://openalex.org/W1974301594","https://openalex.org/W1986845931","https://openalex.org/W1988404878","https://openalex.org/W1995802482","https://openalex.org/W2004383369","https://openalex.org/W2004728046","https://openalex.org/W2019067745","https://openalex.org/W2030933534","https://openalex.org/W2038220764","https://openalex.org/W2038991247","https://openalex.org/W2052405297","https://openalex.org/W2095308719","https://openalex.org/W2132688627","https://openalex.org/W2321390672","https://openalex.org/W2474031850","https://openalex.org/W2901259058","https://openalex.org/W4250716583","https://openalex.org/W4292081050"],"related_works":["https://openalex.org/W4388482258","https://openalex.org/W2131431484","https://openalex.org/W2102789413","https://openalex.org/W2096467061","https://openalex.org/W2940603871","https://openalex.org/W1532287630","https://openalex.org/W2028331352","https://openalex.org/W2052500721","https://openalex.org/W2082296130","https://openalex.org/W4299508867"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"efficient":[3],"and":[4,53,79],"accurate":[5],"numerical":[6,57,74,83,95],"method":[7,26],"for":[8,50,85],"solving":[9],"a":[10,15,23,28,42],"ratio-dependent":[11],"predator\u2013prey":[12],"model":[13],"with":[14,27],"Turing":[16,87],"instability.":[17,88],"The":[18],"system":[19],"is":[20,48],"discretized":[21],"by":[22,41],"finite":[24],"difference":[25],"semi-implicit":[29],"scheme":[30],"which":[31],"allows":[32],"much":[33],"larger":[34],"time":[35],"step":[36,69],"sizes":[37],"than":[38],"those":[39],"required":[40],"standard":[43],"explicit":[44],"scheme.":[45],"A":[46],"proof":[47],"given":[49],"the":[51,56,62,67,77,82,86,94],"positivity":[52],"boundedness":[54],"of":[55,81],"solutions":[58,98],"depending":[59],"only":[60],"on":[61,66],"temporal,":[63],"but":[64],"not":[65],"spatial":[68],"sizes.":[70],"Finally,":[71],"we":[72,91],"perform":[73],"experiments":[75],"demonstrating":[76],"robustness":[78],"accuracy":[80],"solution":[84],"In":[89],"particular,":[90],"show":[92],"that":[93],"nonconstant":[96],"stationary":[97],"exist.":[99]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
