{"id":"https://openalex.org/W1992259089","doi":"https://doi.org/10.1016/j.nonrwa.2006.02.004","title":"Asymptotic stability of an N-dimensional impulsive competitive system","display_name":"Asymptotic stability of an N-dimensional impulsive competitive system","publication_year":2006,"publication_date":"2006-04-18","ids":{"openalex":"https://openalex.org/W1992259089","doi":"https://doi.org/10.1016/j.nonrwa.2006.02.004","mag":"1992259089"},"language":"en","primary_location":{"id":"doi:10.1016/j.nonrwa.2006.02.004","doi":"https://doi.org/10.1016/j.nonrwa.2006.02.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.nonrwa.2006.02.004","pdf_url":null,"source":{"id":"https://openalex.org/S114104845","display_name":"Nonlinear Analysis Real World Applications","issn_l":"1468-1218","issn":["1468-1218","1878-5719"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Analysis: Real World Applications","raw_type":"journal-article"},"volume":null,"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/A5104330867","display_name":"Shair Ahmad","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I45438204","display_name":"The University of Texas at San Antonio","ror":"https://ror.org/01kd65564","country_code":"US","type":"education","lineage":["https://openalex.org/I45438204"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shair Ahmad","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at San Antonio, San Antonio, TX 78249, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at San Antonio, San Antonio, TX 78249, USA","institution_ids":["https://openalex.org/I45438204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083462945","display_name":"Ivanka Stamova","orcid":"https://orcid.org/0000-0001-6723-2699","observed_orcids":["https://orcid.org/0000-0001-6723-2699"]},"institutions":[{"id":"https://openalex.org/I31072267","display_name":"Burgas Free University","ror":"https://ror.org/02ek1bx64","country_code":"BG","type":"education","lineage":["https://openalex.org/I31072267"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Ivanka M. Stamova","raw_affiliation_strings":["Bourgas Free University, 8000 Bourgas, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bourgas Free University, 8000 Bourgas, Bulgaria","institution_ids":["https://openalex.org/I31072267"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5104330867"],"corresponding_institution_ids":["https://openalex.org/I45438204"],"apc_list":{"value":3780,"currency":"USD","value_usd":3780},"apc_paid":null,"fwci":2.178,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.86510401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"8","issue":"2","first_page":"654","last_page":"663"},"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":0.9926999807357788,"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":0.9926999807357788,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0052999998442828655,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.0012000000569969416,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/asymptotic-stability","display_name":"asymptotic stability","score":0.9390000104904175},{"id":"https://openalex.org/keywords/impulsive-differential-equations","display_name":"impulsive differential equations","score":0.8119999766349792},{"id":"https://openalex.org/keywords/lotka-volterra-model","display_name":"Lotka-Volterra model","score":0.8479999899864197},{"id":"https://openalex.org/keywords/competition-system","display_name":"competitive systems","score":0.8379999995231628},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.9309999942779541},{"id":"https://openalex.org/keywords/piecewise-continuous-functions","display_name":"piecewise continuous functions","score":0.9290000200271606},{"id":"https://openalex.org/keywords/n-dimensional-systems","display_name":"n-dimensional systems","score":0.8090000152587891}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7060348987579346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6756387948989868},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6581686735153198},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5881861448287964},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5782732963562012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5005972385406494},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3932632803916931},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37939321994781494},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18986409902572632},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14544713497161865},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12073349952697754},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09141978621482849},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.nonrwa.2006.02.004","doi":"https://doi.org/10.1016/j.nonrwa.2006.02.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.nonrwa.2006.02.004","pdf_url":null,"source":{"id":"https://openalex.org/S114104845","display_name":"Nonlinear Analysis Real World Applications","issn_l":"1468-1218","issn":["1468-1218","1878-5719"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Analysis: Real World Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.44999998807907104}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W118555614","https://openalex.org/W257442556","https://openalex.org/W1590824230","https://openalex.org/W1967689360","https://openalex.org/W1984481610","https://openalex.org/W2016662457","https://openalex.org/W2021353140","https://openalex.org/W2024134444","https://openalex.org/W2029049217","https://openalex.org/W2043665178","https://openalex.org/W2049529576","https://openalex.org/W2050240106","https://openalex.org/W2053591455","https://openalex.org/W2071026238","https://openalex.org/W2082300968","https://openalex.org/W2085523385","https://openalex.org/W2123261528","https://openalex.org/W2508048952","https://openalex.org/W3021722416","https://openalex.org/W4230451458","https://openalex.org/W6656329979"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W328874995","https://openalex.org/W3009543351","https://openalex.org/W2080426547","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":9}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}