{"id":"https://openalex.org/W4292790598","doi":"https://doi.org/10.1007/978-0-387-30440-3_394","title":"Perturbation of Equilibria in the Mathematical Theory of Evolution","display_name":"Perturbation of Equilibria in the Mathematical Theory of Evolution","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W4292790598","doi":"https://doi.org/10.1007/978-0-387-30440-3_394"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-30440-3_394","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_394","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},"type":"reference-entry","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/A5077285926","display_name":"\u00c1ngel S\u00e1nchez","orcid":"https://orcid.org/0000-0003-1874-2881"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]},{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Angel S\u00e1nchez","raw_affiliation_strings":["Grupo Interdisciplinar de Sistemas Complejos (GISC), Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Madrid, Spain","Instituto de Biocomputaci\u00f3n y F\u00edsica de Sistemas Complejos (BIFI), Universidad de Zaragoza, Zaragoza, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo Interdisciplinar de Sistemas Complejos (GISC), Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I50357001"]},{"raw_affiliation_string":"Instituto de Biocomputaci\u00f3n y F\u00edsica de Sistemas Complejos (BIFI), Universidad de Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077285926"],"corresponding_institution_ids":["https://openalex.org/I255234318","https://openalex.org/I50357001"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6639","last_page":"6649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5874998569488525},{"id":"https://openalex.org/keywords/perturbation-theory","display_name":"Perturbation theory (quantum mechanics)","score":0.45707377791404724},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4420977830886841},{"id":"https://openalex.org/keywords/mathematical-theory","display_name":"Mathematical theory","score":0.4258871078491211},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41009098291397095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3799208104610443},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3397812247276306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32805752754211426},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32093021273612976},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2993435859680176},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06564977765083313}],"concepts":[{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5874998569488525},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.45707377791404724},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4420977830886841},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.4258871078491211},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41009098291397095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3799208104610443},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3397812247276306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32805752754211426},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32093021273612976},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2993435859680176},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06564977765083313},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-30440-3_394","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_394","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1415442047","https://openalex.org/W1498617765","https://openalex.org/W1967829443","https://openalex.org/W1992195122","https://openalex.org/W2008620264","https://openalex.org/W2025490132","https://openalex.org/W2028798910","https://openalex.org/W2032305052","https://openalex.org/W2035945778","https://openalex.org/W2067050450","https://openalex.org/W2074248597","https://openalex.org/W2085728653","https://openalex.org/W2097141283","https://openalex.org/W2109522970","https://openalex.org/W2112090702","https://openalex.org/W2112316079","https://openalex.org/W2122561864","https://openalex.org/W2127808790","https://openalex.org/W2796006040","https://openalex.org/W2797939563","https://openalex.org/W3012079654","https://openalex.org/W3027820740","https://openalex.org/W4211095127","https://openalex.org/W4211108372","https://openalex.org/W4242285942","https://openalex.org/W4251270200","https://openalex.org/W4255120460"],"related_works":["https://openalex.org/W2950023678","https://openalex.org/W1990704765","https://openalex.org/W1539835959","https://openalex.org/W2495968117","https://openalex.org/W2162529927","https://openalex.org/W2924556964","https://openalex.org/W2019028953","https://openalex.org/W1973323907","https://openalex.org/W92006161","https://openalex.org/W318335651"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}