{"id":"https://openalex.org/W3185346465","doi":"https://doi.org/10.1007/s00332-021-09725-1","title":"The Existence of Solutions for a Free Boundary Problem Modeling the Spread of Ecosystem Engineers","display_name":"The Existence of Solutions for a Free Boundary Problem Modeling the Spread of Ecosystem Engineers","publication_year":2021,"publication_date":"2021-07-01","ids":{"openalex":"https://openalex.org/W3185346465","doi":"https://doi.org/10.1007/s00332-021-09725-1","mag":"3185346465"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-021-09725-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09725-1","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5044496561","display_name":"Maryam Basiri","orcid":null},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Maryam Basiri","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004094166","display_name":"Frithjof Lutscher","orcid":"https://orcid.org/0000-0001-7380-7647"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Frithjof Lutscher","raw_affiliation_strings":["Department of Biology, University of Ottawa, Ottawa, ON, Canada","Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Biology, University of Ottawa, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034561806","display_name":"Abbas Moameni","orcid":"https://orcid.org/0000-0003-1147-6226"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Abbas Moameni","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044496561"],"corresponding_institution_ids":["https://openalex.org/I153718931"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.589,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.70497743,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"5","first_page":null,"last_page":null},"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":0.9987000226974487,"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":0.9987000226974487,"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":0.9879999756813049,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9621000289916992,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6931884288787842},{"id":"https://openalex.org/keywords/stefan-problem","display_name":"Stefan problem","score":0.6911859512329102},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.632715106010437},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.5736534595489502},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5571529269218445},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4203316569328308},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40956228971481323},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4081260859966278},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39485567808151245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37974897027015686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29873746633529663},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13221237063407898}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6931884288787842},{"id":"https://openalex.org/C2778021227","wikidata":"https://www.wikidata.org/wiki/Q3775789","display_name":"Stefan problem","level":3,"score":0.6911859512329102},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.632715106010437},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.5736534595489502},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5571529269218445},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4203316569328308},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40956228971481323},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4081260859966278},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39485567808151245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37974897027015686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29873746633529663},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13221237063407898},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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":1,"locations":[{"id":"doi:10.1007/s00332-021-09725-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09725-1","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G3381906351","display_name":null,"funder_award_id":"RGPIN-2016-04795","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3851421119","display_name":null,"funder_award_id":"RGPAS-492878-2016","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5839060347","display_name":null,"funder_award_id":"315 920","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"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":58,"referenced_works":["https://openalex.org/W592693156","https://openalex.org/W595415693","https://openalex.org/W616225202","https://openalex.org/W1491456881","https://openalex.org/W1545761024","https://openalex.org/W1563531372","https://openalex.org/W1571840955","https://openalex.org/W1572441936","https://openalex.org/W1586486602","https://openalex.org/W1968400261","https://openalex.org/W1969504525","https://openalex.org/W1970500014","https://openalex.org/W1972101865","https://openalex.org/W1974819830","https://openalex.org/W1980657314","https://openalex.org/W1983227968","https://openalex.org/W1985768021","https://openalex.org/W1986408255","https://openalex.org/W2009601569","https://openalex.org/W2014863630","https://openalex.org/W2026488257","https://openalex.org/W2065753966","https://openalex.org/W2069966714","https://openalex.org/W2071918020","https://openalex.org/W2077180391","https://openalex.org/W2077978982","https://openalex.org/W2079949023","https://openalex.org/W2082798929","https://openalex.org/W2085713178","https://openalex.org/W2086660828","https://openalex.org/W2091779890","https://openalex.org/W2100675615","https://openalex.org/W2129428270","https://openalex.org/W2135166551","https://openalex.org/W2138087132","https://openalex.org/W2151669361","https://openalex.org/W2333696060","https://openalex.org/W2342764370","https://openalex.org/W2500355238","https://openalex.org/W2501779936","https://openalex.org/W2738072709","https://openalex.org/W2770482887","https://openalex.org/W2795744704","https://openalex.org/W2799515702","https://openalex.org/W2946416268","https://openalex.org/W2962772291","https://openalex.org/W2963080078","https://openalex.org/W2963265111","https://openalex.org/W3021722416","https://openalex.org/W3092885954","https://openalex.org/W4213046749","https://openalex.org/W4241202411","https://openalex.org/W4246451291","https://openalex.org/W4255911191","https://openalex.org/W4285719527","https://openalex.org/W4298084067","https://openalex.org/W4388362656","https://openalex.org/W6814267147"],"related_works":["https://openalex.org/W1989068031","https://openalex.org/W568511431","https://openalex.org/W2094793377","https://openalex.org/W4301492515","https://openalex.org/W2754834382","https://openalex.org/W2804614994","https://openalex.org/W2189523157","https://openalex.org/W1991265909","https://openalex.org/W1586418441","https://openalex.org/W2085148799"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
