{"id":"https://openalex.org/W1760560230","doi":"https://doi.org/10.1142/s0218127415501175","title":"Numerical Study of Periodic Traveling Wave Solutions for the Predator\u2013Prey Model with Landscape Features","display_name":"Numerical Study of Periodic Traveling Wave Solutions for the Predator\u2013Prey Model with Landscape Features","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1760560230","doi":"https://doi.org/10.1142/s0218127415501175","mag":"1760560230"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415501175","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415501175","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":true,"raw_author_name":"Ana Yun","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul 136-713, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul 136-713, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075019085","display_name":"Jaemin Shin","orcid":"https://orcid.org/0000-0002-5065-4358"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jaemin Shin","raw_affiliation_strings":["Institute of Mathematical Sciences, Ewha W. University, Seoul 120-750, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, Ewha W. University, Seoul 120-750, Republic of Korea","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058269779","display_name":"Yibao Li","orcid":"https://orcid.org/0000-0002-4847-5430"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yibao Li","raw_affiliation_strings":["School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003461640","display_name":"Seunggyu Lee","orcid":"https://orcid.org/0000-0003-3141-6968"},"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":"Seunggyu Lee","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul 136-713, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul 136-713, Republic of 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":false,"raw_author_name":"Junseok Kim","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul 136-713, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul 136-713, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5110290713"],"corresponding_institution_ids":["https://openalex.org/I197347611"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.04637153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"09","first_page":"1550117","last_page":"1550117"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.6502161026000977},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.6395028233528137},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5234853029251099},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5147090554237366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5023188591003418},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4991118907928467},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.475844144821167},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46776387095451355},{"id":"https://openalex.org/keywords/computer-simulation","display_name":"Computer simulation","score":0.46561741828918457},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.43221622705459595},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22912076115608215},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08926770091056824}],"concepts":[{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.6502161026000977},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.6395028233528137},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5234853029251099},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5147090554237366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5023188591003418},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4991118907928467},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.475844144821167},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46776387095451355},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.46561741828918457},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.43221622705459595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22912076115608215},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08926770091056824},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127415501175","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415501175","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":[{"display_name":"Life in Land","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W98523065","https://openalex.org/W1520014764","https://openalex.org/W1674884573","https://openalex.org/W1964523779","https://openalex.org/W1979517096","https://openalex.org/W1991958898","https://openalex.org/W1994935767","https://openalex.org/W2011006109","https://openalex.org/W2016699328","https://openalex.org/W2017182685","https://openalex.org/W2021816488","https://openalex.org/W2026026241","https://openalex.org/W2038220764","https://openalex.org/W2050351472","https://openalex.org/W2054420328","https://openalex.org/W2067903388","https://openalex.org/W2074371667","https://openalex.org/W2086126894","https://openalex.org/W2091208655","https://openalex.org/W2097841374","https://openalex.org/W2119935405","https://openalex.org/W2158868485","https://openalex.org/W2167829186","https://openalex.org/W2169437869","https://openalex.org/W2218532374","https://openalex.org/W2314816673","https://openalex.org/W2332772439","https://openalex.org/W2334631968","https://openalex.org/W4236990395","https://openalex.org/W4247265869","https://openalex.org/W4250344391","https://openalex.org/W4297918182"],"related_works":["https://openalex.org/W2374930247","https://openalex.org/W2374309527","https://openalex.org/W2548222822","https://openalex.org/W2049181797","https://openalex.org/W1974862832","https://openalex.org/W2049195189","https://openalex.org/W2094510435","https://openalex.org/W54730996","https://openalex.org/W3131359455","https://openalex.org/W2379473617"],"abstract_inverted_index":{"We":[0,57,93],"numerically":[1],"investigate":[2],"periodic":[3,79],"traveling":[4,70,80,99],"wave":[5,71],"solutions":[6],"for":[7,63,114],"a":[8,45,53,60],"diffusive":[9],"predator\u2013prey":[10],"system":[11],"with":[12],"landscape":[13,16,127],"features.":[14,128],"The":[15,105],"features":[17],"are":[18,90],"modeled":[19],"through":[20],"the":[21,30,33,39,65,69,88,95,98,103,124],"homogeneous":[22],"Dirichlet":[23,40],"boundary":[24,41,54],"condition":[25],"which":[26,82],"is":[27],"imposed":[28],"at":[29],"edge":[31],"of":[32,68,97],"obstacle":[34,89],"domain.":[35],"To":[36],"effectively":[37,91],"treat":[38],"condition,":[42],"we":[43,76,118],"employ":[44],"robust":[46,61],"and":[47,85],"accurate":[48],"numerical":[49,66,74,121],"technique":[50,122],"by":[51,101],"using":[52],"control":[55],"function.":[56],"also":[58],"propose":[59],"algorithm":[62],"calculating":[64],"periodicity":[67],"solution.":[72],"In":[73],"experiments,":[75],"show":[77],"that":[78],"waves":[81,100],"move":[83],"out":[84],"away":[86],"from":[87],"generated.":[92],"explain":[94],"formation":[96],"comparing":[102],"wavelengths.":[104],"spatial":[106],"asynchrony":[107],"has":[108],"been":[109],"shown":[110],"in":[111],"quantitative":[112],"detail":[113],"various":[115],"obstacles.":[116],"Furthermore,":[117],"apply":[119],"our":[120],"to":[123],"complicated":[125],"real":[126]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
