{"id":"https://openalex.org/W2997664888","doi":"https://doi.org/10.1007/s13235-019-00344-w","title":"Bimatrix Replicator Dynamics with Periodic Impulses","display_name":"Bimatrix Replicator Dynamics with Periodic Impulses","publication_year":2020,"publication_date":"2020-01-02","ids":{"openalex":"https://openalex.org/W2997664888","doi":"https://doi.org/10.1007/s13235-019-00344-w","mag":"2997664888"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-019-00344-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-019-00344-w","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","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/A5011776283","display_name":"Xinmiao An","orcid":null},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinmiao An","raw_affiliation_strings":["Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People\u2019s Republic of China","Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100413285","display_name":"Xiaomin Wang","orcid":"https://orcid.org/0000-0001-5820-7256"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaomin Wang","raw_affiliation_strings":["Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People\u2019s Republic of China","Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100714039","display_name":"Boyu Zhang","orcid":"https://orcid.org/0000-0003-0972-3240"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Boyu Zhang","raw_affiliation_strings":["Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People\u2019s Republic of China","Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011776283"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3626,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70827233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"3","first_page":"676","last_page":"694"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9991999864578247,"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":0.9976999759674072,"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/replicator-equation","display_name":"Replicator equation","score":0.8746911287307739},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.503485381603241},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4984920024871826},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4549136459827423},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44761544466018677},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.4331720471382141},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.42983368039131165},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.41672733426094055},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3778197467327118},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2692790627479553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2586451768875122},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2582414150238037},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21384012699127197}],"concepts":[{"id":"https://openalex.org/C50318809","wikidata":"https://www.wikidata.org/wiki/Q2145081","display_name":"Replicator equation","level":3,"score":0.8746911287307739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.503485381603241},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4984920024871826},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4549136459827423},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44761544466018677},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.4331720471382141},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42983368039131165},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.41672733426094055},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3778197467327118},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2692790627479553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2586451768875122},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2582414150238037},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21384012699127197},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s13235-019-00344-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-019-00344-w","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:dyngam:v:10:y:2020:i:3:d:10.1007_s13235-019-00344-w","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s13235-019-00344-w","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/2","score":0.4399999976158142,"display_name":"Zero hunger"}],"awards":[{"id":"https://openalex.org/G1855630979","display_name":null,"funder_award_id":"71771026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4319502839","display_name":null,"funder_award_id":"71922004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W202680458","https://openalex.org/W580296679","https://openalex.org/W1415442047","https://openalex.org/W1499339896","https://openalex.org/W1960351623","https://openalex.org/W1965150957","https://openalex.org/W1967829443","https://openalex.org/W1968634343","https://openalex.org/W1974781425","https://openalex.org/W1978241724","https://openalex.org/W1979776153","https://openalex.org/W1981858768","https://openalex.org/W1985346346","https://openalex.org/W1988605129","https://openalex.org/W1991667705","https://openalex.org/W2003540088","https://openalex.org/W2008625338","https://openalex.org/W2018609365","https://openalex.org/W2019978893","https://openalex.org/W2023004506","https://openalex.org/W2025010125","https://openalex.org/W2028798910","https://openalex.org/W2029080830","https://openalex.org/W2029862085","https://openalex.org/W2031758503","https://openalex.org/W2037201347","https://openalex.org/W2043474897","https://openalex.org/W2044184042","https://openalex.org/W2050240106","https://openalex.org/W2055743180","https://openalex.org/W2063401252","https://openalex.org/W2068274586","https://openalex.org/W2069954029","https://openalex.org/W2071227980","https://openalex.org/W2076220071","https://openalex.org/W2078376482","https://openalex.org/W2084281749","https://openalex.org/W2085728653","https://openalex.org/W2085906749","https://openalex.org/W2094884005","https://openalex.org/W2096404702","https://openalex.org/W2096491608","https://openalex.org/W2105562148","https://openalex.org/W2105662343","https://openalex.org/W2115841368","https://openalex.org/W2117687232","https://openalex.org/W2118091947","https://openalex.org/W2124441204","https://openalex.org/W2125376107","https://openalex.org/W2131076386","https://openalex.org/W2131416952","https://openalex.org/W2138262877","https://openalex.org/W2140459638","https://openalex.org/W2158305327","https://openalex.org/W2166964207","https://openalex.org/W2205888277","https://openalex.org/W2479395228","https://openalex.org/W2515040453","https://openalex.org/W2599180454","https://openalex.org/W2624262714","https://openalex.org/W2896598011","https://openalex.org/W2922136954","https://openalex.org/W2963806175","https://openalex.org/W2972763915","https://openalex.org/W3102745896","https://openalex.org/W4238086324","https://openalex.org/W4254367406"],"related_works":["https://openalex.org/W2492651500","https://openalex.org/W4392252503","https://openalex.org/W4287869118","https://openalex.org/W1615974028","https://openalex.org/W2142283420","https://openalex.org/W3005585050","https://openalex.org/W4241847945","https://openalex.org/W3122278427","https://openalex.org/W2794799830","https://openalex.org/W4297173279"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
