{"id":"https://openalex.org/W2607713664","doi":"https://doi.org/10.1137/17m1124255","title":"Optimal Location of Resources for Biased Movement of Species: The 1D Case","display_name":"Optimal Location of Resources for Biased Movement of Species: The 1D Case","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2607713664","doi":"https://doi.org/10.1137/17m1124255","mag":"2607713664"},"language":"en","primary_location":{"id":"doi:10.1137/17m1124255","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1124255","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1704.08016","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066636039","display_name":"Fabien Caubet","orcid":"https://orcid.org/0000-0002-6379-3867"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fabien Caubet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024032465","display_name":"Thibaut Deheuvels","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thibaut Deheuvels","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5049691168","display_name":"Yannick Privat","orcid":"https://orcid.org/0000-0002-2039-7223"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yannick Privat","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":1.4276,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.8268501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"77","issue":"6","first_page":"1876","last_page":"1903"},"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":0.26260000467300415,"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":0.26260000467300415,"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":0.25929999351501465,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.1429000049829483,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8188759088516235},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6543302536010742},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6287565231323242},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6050041913986206},{"id":"https://openalex.org/keywords/rayleigh-quotient","display_name":"Rayleigh quotient","score":0.5488527417182922},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4846342206001282},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4666580855846405},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4655941426753998},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46419939398765564},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45972153544425964},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4523155093193054},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4216594994068146},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4184945225715637},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41462570428848267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3202816843986511},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17429426312446594},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12679201364517212}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8188759088516235},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6543302536010742},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6287565231323242},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6050041913986206},{"id":"https://openalex.org/C2778158742","wikidata":"https://www.wikidata.org/wiki/Q1665115","display_name":"Rayleigh quotient","level":3,"score":0.5488527417182922},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4846342206001282},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4666580855846405},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4655941426753998},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46419939398765564},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45972153544425964},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4523155093193054},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4216594994068146},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4184945225715637},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41462570428848267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3202816843986511},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17429426312446594},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12679201364517212},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1124255","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1124255","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.08016","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.08016","pdf_url":"https://arxiv.org/pdf/1704.08016","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1704.08016","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.08016","pdf_url":"https://arxiv.org/pdf/1704.08016","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2607713664.pdf","grobid_xml":"https://content.openalex.org/works/W2607713664.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1833928266","https://openalex.org/W1965538707","https://openalex.org/W1970670794","https://openalex.org/W1973861336","https://openalex.org/W1974446675","https://openalex.org/W2005264558","https://openalex.org/W2012310374","https://openalex.org/W2023174256","https://openalex.org/W2035271803","https://openalex.org/W2057006385","https://openalex.org/W2064809044","https://openalex.org/W2066347815","https://openalex.org/W2143041000","https://openalex.org/W2326835827","https://openalex.org/W2405536608"],"related_works":["https://openalex.org/W4383645627","https://openalex.org/W4283689117","https://openalex.org/W2350063940","https://openalex.org/W2069488105","https://openalex.org/W4320926376","https://openalex.org/W4289943123","https://openalex.org/W4253768562","https://openalex.org/W2151484740","https://openalex.org/W3092127437","https://openalex.org/W1970094780"],"abstract_inverted_index":{"In":[0,17],"this":[1,59,150],"paper,":[2],"we":[3,20,46,147],"investigate":[4,171],"an":[5,68,93,198,208],"optimal":[6,25,76],"design":[7],"problem":[8,110,152],"motivated":[9],"by":[10,31,81,157],"some":[11],"issues":[12],"arising":[13],"in":[14,41,121,153,181],"population":[15],"dynamics.":[16],"a":[18,28,39,42,109,136,172,222,232],"nutshell,":[19],"aim":[21],"at":[22,214],"determining":[23],"the":[24,35,48,65,83,90,100,113,119,123,128,154,191,203,206,215,218,226],"shape":[26],"of":[27,38,51,67,99,103,107,115,118,127,139,194,205,217,225,231],"region":[29],"occupied":[30],"resources":[32],"for":[33,97,221],"maximizing":[34],"survival":[36],"ability":[37],"species":[40],"given":[43,233],"box,":[44,207,219],"and":[45,125,165],"consider":[47],"general":[49],"case":[50,156],"Robin":[52,227],"boundary":[53,204],"conditions":[54],"on":[55,202],"its":[56],"boundary.":[57],"Mathematically,":[58],"issue":[60],"can":[61],"be":[62],"modeled":[63],"with":[64,87],"help":[66],"extremal":[69],"indefinite":[70],"weight":[71,120],"linear":[72],"eigenvalue":[73,86],"problem.":[74,175],"The":[75,105],"spatial":[77],"arrangement":[78],"is":[79,163,186,211],"obtained":[80],"minimizing":[82],"positive":[84],"principal":[85],"respect":[88],"to":[89,170,179,188],"weight,":[91],"under":[92],"$L^1$":[94],"constraint":[95],"standing":[96],"limitation":[98],"total":[101],"amount":[102],"resources.":[104],"specificity":[106],"such":[108],"rests":[111],"upon":[112],"presence":[114],"nonlinear":[116],"functions":[117],"both":[122],"numerator":[124],"denominator":[126],"Rayleigh":[129],"quotient.":[130],"By":[131],"using":[132],"adapted":[133],"rearrangement":[134],"procedures,":[135],"well-chosen":[137],"change":[138],"variables,":[140],"as":[141,143],"well":[142],"necessary":[144],"optimality":[145],"conditions,":[146],"completely":[148],"solve":[149],"optimization":[151,174],"unidimensional":[155],"showing":[158],"first":[159],"that":[160,183,200,210],"every":[161,184],"minimizer":[162,185],"unimodal":[164],"bang-bang.":[166],"This":[167,176],"leads":[168],"us":[169,178],"finite-dimensional":[173],"allows":[177],"show":[180],"particular":[182],"(up":[187],"additive":[189],"constants)":[190],"characteristic":[192],"function":[193],"three":[195],"possible":[196],"domains:":[197],"interval":[199,209],"sticks":[201],"symmetrically":[212],"located":[213],"middle":[216],"or,":[220],"precise":[223],"value":[224],"coefficient,":[228],"all":[229],"intervals":[230],"fixed":[234],"length.":[235]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2022-03-05T00:00:00"}