{"id":"https://openalex.org/W2271442114","doi":"https://doi.org/10.1137/15m1014486","title":"$R_0$ Analysis of a Benthic-Drift Model for a Stream Population","display_name":"$R_0$ Analysis of a Benthic-Drift Model for a Stream Population","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2271442114","doi":"https://doi.org/10.1137/15m1014486","mag":"2271442114"},"language":"en","primary_location":{"id":"doi:10.1137/15m1014486","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014486","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","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/A5018858078","display_name":"Qihua Huang","orcid":"https://orcid.org/0000-0002-2903-9377"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Qihua Huang","raw_affiliation_strings":["Center for Mathematical Biology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Biology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091351824","display_name":"Yu Jin","orcid":"https://orcid.org/0000-0003-4169-9754"},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Jin","raw_affiliation_strings":["Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588","institution_ids":["https://openalex.org/I114395901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030616211","display_name":"Mark A. Lewis","orcid":"https://orcid.org/0000-0002-7155-7426"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Mark A. Lewis","raw_affiliation_strings":["Center for Mathematical Biology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada, and Department of Biological Sciences,","University of Alberta, Edmonton, AB, T6G 2E9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Biology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada, and Department of Biological Sciences,","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"University of Alberta, Edmonton, AB, T6G 2E9, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030616211"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":null,"apc_paid":null,"fwci":5.8497,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.95590716,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"15","issue":"1","first_page":"287","last_page":"321"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10302","display_name":"Fish Ecology and Management Studies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2309","display_name":"Nature and Landscape Conservation"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10302","display_name":"Fish Ecology and Management Studies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2309","display_name":"Nature and Landscape Conservation"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10330","display_name":"Hydrology and Watershed Management Studies","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11311","display_name":"Soil and Water Nutrient Dynamics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2304","display_name":"Environmental Chemistry"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/benthic-zone","display_name":"Benthic zone","score":0.8555132746696472},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6816051006317139},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.599327564239502},{"id":"https://openalex.org/keywords/streams","display_name":"STREAMS","score":0.5013604164123535},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.48720043897628784},{"id":"https://openalex.org/keywords/stream-flow","display_name":"Stream flow","score":0.4685799777507782},{"id":"https://openalex.org/keywords/habitat","display_name":"Habitat","score":0.4460865557193756},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.4234952926635742},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41982704401016235},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.2760668694972992},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.250609815120697},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.20620980858802795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16863170266151428},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.09716594219207764},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.06879407167434692}],"concepts":[{"id":"https://openalex.org/C83042747","wikidata":"https://www.wikidata.org/wiki/Q686881","display_name":"Benthic zone","level":2,"score":0.8555132746696472},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6816051006317139},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.599327564239502},{"id":"https://openalex.org/C42090638","wikidata":"https://www.wikidata.org/wiki/Q4048907","display_name":"STREAMS","level":2,"score":0.5013604164123535},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.48720043897628784},{"id":"https://openalex.org/C2992826812","wikidata":"https://www.wikidata.org/wiki/Q29425295","display_name":"Stream flow","level":3,"score":0.4685799777507782},{"id":"https://openalex.org/C185933670","wikidata":"https://www.wikidata.org/wiki/Q52105","display_name":"Habitat","level":2,"score":0.4460865557193756},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.4234952926635742},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41982704401016235},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.2760668694972992},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.250609815120697},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.20620980858802795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16863170266151428},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.09716594219207764},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.06879407167434692},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C126645576","wikidata":"https://www.wikidata.org/wiki/Q166620","display_name":"Drainage basin","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1014486","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014486","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.unl.edu:mathfacpub-1258","is_oa":false,"landing_page_url":"https://digitalcommons.unl.edu/mathfacpub/259","pdf_url":null,"source":{"id":"https://openalex.org/S4306400577","display_name":"Lincoln (University of Nebraska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114395901","host_organization_name":"University of Nebraska\u2013Lincoln","host_organization_lineage":["https://openalex.org/I114395901"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematics: Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G4243079008","display_name":"Spatial Population Dynamics in Streams or Rivers","funder_award_id":"1411703","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6148250926","display_name":null,"funder_award_id":"DMS 1411703","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309910","display_name":"Alberta Water Research Institute","ror":"https://ror.org/00ynafe15"},{"id":"https://openalex.org/F4320322337","display_name":"Killam Trusts","ror":"https://ror.org/021cbtn85"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1622308394","https://openalex.org/W1971571869","https://openalex.org/W1991899745","https://openalex.org/W2023871431","https://openalex.org/W2032188560","https://openalex.org/W2041572706","https://openalex.org/W2056634614","https://openalex.org/W2058285970","https://openalex.org/W2059395503","https://openalex.org/W2067241000","https://openalex.org/W2073699791","https://openalex.org/W2074372176","https://openalex.org/W2076458782","https://openalex.org/W2099081432","https://openalex.org/W2107984421","https://openalex.org/W2125218636","https://openalex.org/W2134578687","https://openalex.org/W2139159290","https://openalex.org/W2142705539","https://openalex.org/W2153777910","https://openalex.org/W2153892479","https://openalex.org/W2157649118","https://openalex.org/W2169574347","https://openalex.org/W2178721864"],"related_works":["https://openalex.org/W3150697957","https://openalex.org/W1879292667","https://openalex.org/W2010317732","https://openalex.org/W4232417921","https://openalex.org/W2483328176","https://openalex.org/W2090104008","https://openalex.org/W4251729760","https://openalex.org/W18386445","https://openalex.org/W2279902581","https://openalex.org/W2765448347"],"abstract_inverted_index":{"One":[0],"key":[1],"issue":[2],"for":[3,164,168],"theory":[4,128,158],"in":[5,61,97,104],"stream":[6,11,21,46,75],"ecology":[7],"is":[8,32,76,89],"how":[9,138],"much":[10],"flow":[12,24,63,141],"can":[13],"be":[14],"changed":[15],"while":[16],"still":[17],"maintaining":[18],"an":[19],"intact":[20],"ecology,":[22],"instream":[23],"needs":[25],"(IFNs);":[26],"the":[27,36,42,45,49,62,72,74,87,98,105,110,116,139,162],"study":[28,109],"of":[29,41],"determining":[30],"IFNs":[31],"challenging":[33],"due":[34],"to":[35,129,136],"complex":[37],"and":[38,48,65,83,86,101,121,133,151],"dynamic":[39],"nature":[40],"interaction":[43],"between":[44,149],"environment":[47],"biological":[50],"community.":[51],"We":[52,108,125],"develop":[53,126],"a":[54],"process-oriented":[55],"benthic-drift":[56],"model":[57],"that":[58],"links":[59],"changes":[60],"regime":[64],"habitat":[66],"availability":[67],"with":[68],"population":[69,88,111,143,155],"dynamics.":[70],"In":[71],"model,":[73],"divided":[77,90],"into":[78,91],"two":[79,92],"zones,":[80,150],"drift":[81,106],"zone":[82,100],"benthic":[84,99],"zone,":[85],"interacting":[93],"compartments,":[94],"individuals":[95,102],"residing":[96],"dispersing":[103],"zone.":[107],"persistence":[112],"criteria,":[113],"based":[114],"on":[115,122],"net":[117],"reproductive":[118],"rate":[119],"$R_0$":[120],"related":[123],"measures.":[124],"new":[127],"calculate":[130],"these":[131],"quantities":[132],"use":[134],"them":[135],"investigate":[137],"various":[140],"regimes,":[142],"birth":[144],"rate,":[145],"individual":[146],"transfer":[147],"rates":[148],"river":[152],"heterogeneity":[153],"affect":[154],"persistence.":[156],"The":[157],"developed":[159],"here":[160],"provides":[161],"basis":[163],"effective":[165],"decision-making":[166],"tools":[167],"water":[169],"managers.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
