{"id":"https://openalex.org/W1966799595","doi":"https://doi.org/10.1137/050638011","title":"Traveling Wavefronts in a Delayed Food\u2010limited Population Model","display_name":"Traveling Wavefronts in a Delayed Food\u2010limited Population Model","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1966799595","doi":"https://doi.org/10.1137/050638011","mag":"1966799595"},"language":"en","primary_location":{"id":"doi:10.1137/050638011","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050638011","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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/A5021633144","display_name":"Chunhua Ou","orcid":"https://orcid.org/0000-0003-0390-0373"},"institutions":[{"id":"https://openalex.org/I130438778","display_name":"Memorial University of Newfoundland","ror":"https://ror.org/04haebc03","country_code":"CA","type":"education","lineage":["https://openalex.org/I130438778"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Chunhua Ou","raw_affiliation_strings":["Memorial University of Newfoundland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Memorial University of Newfoundland","institution_ids":["https://openalex.org/I130438778"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jianhong Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jianhong Wu","raw_affiliation_strings":["York University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"York University","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9888,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.92645167,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"39","issue":"1","first_page":"103","last_page":"125"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9922999739646912,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9797999858856201,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8133753538131714},{"id":"https://openalex.org/keywords/wavefront","display_name":"Wavefront","score":0.7019345760345459},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.6276323199272156},{"id":"https://openalex.org/keywords/banach-fixed-point-theorem","display_name":"Banach fixed-point theorem","score":0.5419595241546631},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4972515404224396},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4897596836090088},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.48877856135368347},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48335665464401245},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.468661904335022},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.4594917893409729},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4044909179210663},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08525675535202026},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08376213908195496}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8133753538131714},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.7019345760345459},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.6276323199272156},{"id":"https://openalex.org/C2780549194","wikidata":"https://www.wikidata.org/wiki/Q220680","display_name":"Banach fixed-point theorem","level":3,"score":0.5419595241546631},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4972515404224396},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4897596836090088},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.48877856135368347},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48335665464401245},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.468661904335022},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.4594917893409729},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4044909179210663},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08525675535202026},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08376213908195496},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/050638011","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050638011","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.535.6582","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.535.6582","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.yorku.ca/Who/Faculty/JWu/Paper/traveling_wave_front.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/2","score":0.7400000095367432,"display_name":"Zero hunger"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W120458709","https://openalex.org/W1485975088","https://openalex.org/W1506727362","https://openalex.org/W1526492424","https://openalex.org/W1583602735","https://openalex.org/W1981079941","https://openalex.org/W1997602286","https://openalex.org/W1997648297","https://openalex.org/W2006906998","https://openalex.org/W2016697490","https://openalex.org/W2016767879","https://openalex.org/W2021076397","https://openalex.org/W2022792108","https://openalex.org/W2029607875","https://openalex.org/W2031752038","https://openalex.org/W2051281307","https://openalex.org/W2056695163","https://openalex.org/W2062532291","https://openalex.org/W2064413724","https://openalex.org/W2078927495","https://openalex.org/W2088754516","https://openalex.org/W2127691837","https://openalex.org/W2147271536","https://openalex.org/W2154884629","https://openalex.org/W2156641145","https://openalex.org/W2158317652"],"related_works":["https://openalex.org/W2980485881","https://openalex.org/W3006703326","https://openalex.org/W2057963065","https://openalex.org/W4223932742","https://openalex.org/W2302520613","https://openalex.org/W787165528","https://openalex.org/W2070317878","https://openalex.org/W2104305035","https://openalex.org/W2977556127","https://openalex.org/W2996959914"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"develop":[4,46],"a":[5,16,30,69],"new":[6],"method":[7,52],"to":[8,64],"establish":[9],"the":[10,35,39,54,73],"existence":[11],"of":[12,32],"traveling":[13],"wavefronts":[14,55],"for":[15,53],"food\u2010limited":[17],"population":[18],"model":[19],"with":[20,56],"nonmonotone":[21],"delayed":[22],"nonlocal":[23],"effects.":[24],"Our":[25],"approach":[26],"is":[27,75],"based":[28],"on":[29],"combination":[31],"perturbation":[33],"methods,":[34],"Fredholm":[36],"theory,":[37],"and":[38,47],"Banach":[40],"fixed":[41],"point":[42],"theorem.":[43],"We":[44],"also":[45],"theoretically":[48],"justify":[49],"Canosa\u2019s":[50],"asymptotic":[51],"large":[57],"wave":[58],"speeds.":[59],"Numerical":[60],"simulations":[61],"are":[62],"provided":[63],"show":[65],"that":[66],"there":[67],"exists":[68],"prominent":[70],"hump":[71],"when":[72],"delay":[74],"large.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}