{"id":"https://openalex.org/W2061818987","doi":"https://doi.org/10.1007/s00332-011-9099-9","title":"Spreading Speeds and Traveling Waves for Non-cooperative Reaction\u2013Diffusion Systems","display_name":"Spreading Speeds and Traveling Waves for Non-cooperative Reaction\u2013Diffusion Systems","publication_year":2011,"publication_date":"2011-05-09","ids":{"openalex":"https://openalex.org/W2061818987","doi":"https://doi.org/10.1007/s00332-011-9099-9","mag":"2061818987"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-011-9099-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-011-9099-9","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1007.0950","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091211890","display_name":"Haiyan Wang","orcid":"https://orcid.org/0000-0002-5204-967X"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Haiyan Wang","raw_affiliation_strings":["Division of Mathematical and Natural Sciences, Arizona State University, Phoenix, AZ, 85069-7100, USA","Division of Mathematical and Natural Sciences, Arizona State University, Phoenix, USA"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical and Natural Sciences, Arizona State University, Phoenix, AZ, 85069-7100, USA","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Division of Mathematical and Natural Sciences, Arizona State University, Phoenix, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091211890"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.1394,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.90819469,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"21","issue":"5","first_page":"747","last_page":"783"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9794999957084656,"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/traveling-wave","display_name":"Traveling wave","score":0.9331897497177124},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.8067891597747803},{"id":"https://openalex.org/keywords/wave-speed","display_name":"Wave speed","score":0.7997769713401794},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6489253044128418},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5548633933067322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38731393218040466},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38263988494873047},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36576902866363525},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35989344120025635},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3537861108779907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3381763696670532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3236009478569031},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09050893783569336},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08237466216087341},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07858452200889587}],"concepts":[{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.9331897497177124},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.8067891597747803},{"id":"https://openalex.org/C2986045365","wikidata":"https://www.wikidata.org/wiki/Q1163350","display_name":"Wave speed","level":2,"score":0.7997769713401794},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6489253044128418},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5548633933067322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38731393218040466},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38263988494873047},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36576902866363525},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35989344120025635},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3537861108779907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3381763696670532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3236009478569031},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09050893783569336},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08237466216087341},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07858452200889587},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-011-9099-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-011-9099-9","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"},{"id":"pmh:oai:arXiv.org:1007.0950","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1007.0950","pdf_url":"https://arxiv.org/pdf/1007.0950","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:1007.0950","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1007.0950","pdf_url":"https://arxiv.org/pdf/1007.0950","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W169924917","https://openalex.org/W391578156","https://openalex.org/W628383720","https://openalex.org/W1485975088","https://openalex.org/W1550382162","https://openalex.org/W1555476593","https://openalex.org/W1583602735","https://openalex.org/W1967673849","https://openalex.org/W1969504525","https://openalex.org/W1970868143","https://openalex.org/W1976743368","https://openalex.org/W2000832018","https://openalex.org/W2002933331","https://openalex.org/W2008348033","https://openalex.org/W2014863630","https://openalex.org/W2017481075","https://openalex.org/W2023090332","https://openalex.org/W2027480533","https://openalex.org/W2030006245","https://openalex.org/W2030109220","https://openalex.org/W2038991247","https://openalex.org/W2046904024","https://openalex.org/W2053285966","https://openalex.org/W2055228701","https://openalex.org/W2060840516","https://openalex.org/W2062366962","https://openalex.org/W2067891992","https://openalex.org/W2079949023","https://openalex.org/W2086141181","https://openalex.org/W2087758737","https://openalex.org/W2089595957","https://openalex.org/W2091324233","https://openalex.org/W2094910098","https://openalex.org/W2095196562","https://openalex.org/W2113118226","https://openalex.org/W2127435691","https://openalex.org/W2156530706","https://openalex.org/W2207223089","https://openalex.org/W2608794812","https://openalex.org/W2610857016","https://openalex.org/W4212834659","https://openalex.org/W4292081050"],"related_works":["https://openalex.org/W4288095052","https://openalex.org/W3009545554","https://openalex.org/W2978196197","https://openalex.org/W2992779583","https://openalex.org/W3007396463","https://openalex.org/W1997022868","https://openalex.org/W2061818987","https://openalex.org/W2035426056","https://openalex.org/W2054370674","https://openalex.org/W2369486435"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}