{"id":"https://openalex.org/W2045735315","doi":"https://doi.org/10.1137/130934246","title":"Approaching the Ideal Free Distribution in Two-Species Competition Models with Fitness-Dependent Dispersal","display_name":"Approaching the Ideal Free Distribution in Two-Species Competition Models with Fitness-Dependent Dispersal","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2045735315","doi":"https://doi.org/10.1137/130934246","mag":"2045735315"},"language":"en","primary_location":{"id":"doi:10.1137/130934246","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130934246","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/A5110006356","display_name":"Yuan Lou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuan Lou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101048069","display_name":"Youshan Tao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Youshan Tao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5104728881","display_name":"Michael Winkler","orcid":"https://orcid.org/0000-0002-3151-064X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Winkler","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1675,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.91268869,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"2","first_page":"1228","last_page":"1262"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9995999932289124,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9994999766349792,"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/biological-dispersal","display_name":"Biological dispersal","score":0.8713976144790649},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6978243589401245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6337729096412659},{"id":"https://openalex.org/keywords/ideal-free-distribution","display_name":"Ideal free distribution","score":0.6031125783920288},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.5796855688095093},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5615259408950806},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5483492016792297},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5146046876907349},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5000553131103516},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.44827884435653687},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43600988388061523},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4255635142326355},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3670613467693329},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3287964463233948},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.3175523281097412},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15583744645118713},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14707332849502563},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.13988009095191956}],"concepts":[{"id":"https://openalex.org/C47559259","wikidata":"https://www.wikidata.org/wiki/Q778143","display_name":"Biological dispersal","level":3,"score":0.8713976144790649},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6978243589401245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6337729096412659},{"id":"https://openalex.org/C2777859753","wikidata":"https://www.wikidata.org/wiki/Q5987981","display_name":"Ideal free distribution","level":3,"score":0.6031125783920288},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.5796855688095093},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5615259408950806},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5483492016792297},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5146046876907349},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5000553131103516},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44827884435653687},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43600988388061523},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4255635142326355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3670613467693329},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3287964463233948},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.3175523281097412},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15583744645118713},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14707332849502563},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.13988009095191956},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130934246","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130934246","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1906551997","https://openalex.org/W1965049966","https://openalex.org/W1983537068","https://openalex.org/W2002835873","https://openalex.org/W2009217095","https://openalex.org/W2020121236","https://openalex.org/W2021593845","https://openalex.org/W2044765403","https://openalex.org/W2046565293","https://openalex.org/W2050291321","https://openalex.org/W2057168877","https://openalex.org/W2058113443","https://openalex.org/W2066653126","https://openalex.org/W2073859239","https://openalex.org/W2082037224","https://openalex.org/W2121679360","https://openalex.org/W2129429548","https://openalex.org/W2138711501","https://openalex.org/W2146636413"],"related_works":["https://openalex.org/W3134495997","https://openalex.org/W2371448224","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W625783435","https://openalex.org/W2044076822","https://openalex.org/W1980610828","https://openalex.org/W2065317246","https://openalex.org/W1965252035","https://openalex.org/W2031576330"],"abstract_inverted_index":{"This":[0],"paper":[1],"concerns":[2],"the":[3,20,23,49,55,62,72,76,86,93,100,113,116,121],"global":[4,56,87],"existence":[5,57,88],"and":[6,40,97],"asymptotic":[7,101],"behavior":[8,102],"of":[9,37,58,89,103],"solutions":[10,60,91],"to":[11,61,92],"some":[12],"reaction-diffusion-advection":[13],"models":[14],"for":[15],"two":[16],"competing":[17],"species,":[18],"where":[19],"species":[21,33,51,70,78],"have":[22],"same":[24],"population":[25,118],"dynamics":[26],"but":[27,75],"different":[28],"dispersal":[29,39,74],"strategies.":[30],"When":[31,68],"one":[32,69],"possesses":[34],"a":[35],"combination":[36],"random":[38,53],"directed":[41],"movement":[42],"upward":[43],"along":[44],"its":[45],"fitness":[46],"gradient":[47],"whereas":[48],"other":[50,77],"adopts":[52,71],"dispersal,":[54],"smooth":[59],"quasi-linear":[63],"parabolic":[64],"system":[65,96],"is":[66],"established.":[67],"fitness-dependent":[73],"does":[79],"not":[80],"disperse":[81],"at":[82],"all,":[83],"we":[84,109],"show":[85,110],"weak":[90,105],"degenerate":[94],"parabolic-ODE":[95],"further":[98],"describe":[99],"these":[104],"solutions.":[106],"In":[107],"particular,":[108],"that":[111],"in":[112,126],"latter":[114],"case":[115],"total":[117],"density":[119],"approaches":[120],"so-called":[122],"ideal":[123],"free":[124],"distribution":[125],"an":[127],"appropriate":[128],"sense.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
