{"id":"https://openalex.org/W3139149676","doi":"https://doi.org/10.1007/s40314-021-01464-z","title":"Pseudo almost periodic solutions and global exponential stability of a new class of nonlinear generalized Gilpin\u2013Ayala competitive model with feedback control with delays","display_name":"Pseudo almost periodic solutions and global exponential stability of a new class of nonlinear generalized Gilpin\u2013Ayala competitive model with feedback control with delays","publication_year":2021,"publication_date":"2021-03-22","ids":{"openalex":"https://openalex.org/W3139149676","doi":"https://doi.org/10.1007/s40314-021-01464-z","mag":"3139149676"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01464-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01464-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5075954569","display_name":"Manel Amdouni","orcid":"https://orcid.org/0000-0002-1507-0189"},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Manel Amdouni","raw_affiliation_strings":["MaPSFA, ISSAT, Universit\u00e9 de Sousse, Sousse, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MaPSFA, ISSAT, Universit\u00e9 de Sousse, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024998131","display_name":"Farouk Ch\u00e9rif","orcid":"https://orcid.org/0000-0002-8186-8332"},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Farouk Ch\u00e9rif","raw_affiliation_strings":["ISSATs and Laboratory of Mathematical Physic, Specials Functions and Applications, LR11ES35, Ecole, Sup\u00e9rieure des Sciences et de Technologie de Hammam-Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISSATs and Laboratory of Mathematical Physic, Specials Functions and Applications, LR11ES35, Ecole, Sup\u00e9rieure des Sciences et de Technologie de Hammam-Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080356995","display_name":"Jehad Alzabut","orcid":"https://orcid.org/0000-0002-5262-1138"},"institutions":[{"id":"https://openalex.org/I142024983","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26","country_code":"SA","type":"education","lineage":["https://openalex.org/I142024983"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Jehad Alzabut","raw_affiliation_strings":["Department of Mathematics and General Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-5262-1138","affiliations":[{"raw_affiliation_string":"Department of Mathematics and General Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I142024983"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024998131"],"corresponding_institution_ids":["https://openalex.org/I8636806"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.5194,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81803695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"40","issue":"3","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":0.9998999834060669,"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":0.9998999834060669,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7559648752212524},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.7256706357002258},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6346538662910461},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6116431951522827},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5607518553733826},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5566467046737671},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5316973924636841},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5270833373069763},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5193387269973755},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4840621054172516},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4606620669364929},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4495556950569153},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4476008415222168},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33650821447372437},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31107112765312195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25849923491477966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15280991792678833},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05090174078941345}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7559648752212524},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.7256706357002258},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6346538662910461},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6116431951522827},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5607518553733826},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5566467046737671},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5316973924636841},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5270833373069763},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5193387269973755},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4840621054172516},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4606620669364929},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4495556950569153},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4476008415222168},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33650821447372437},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31107112765312195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25849923491477966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15280991792678833},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05090174078941345},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01464-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01464-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6468897384","display_name":null,"funder_award_id":"RG-DES-2017-01-17","funder_id":"https://openalex.org/F4320327702","funder_display_name":"Prince Sultan University"}],"funders":[{"id":"https://openalex.org/F4320327702","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W8994522","https://openalex.org/W587890827","https://openalex.org/W1533288419","https://openalex.org/W1963695718","https://openalex.org/W1965343298","https://openalex.org/W1966174940","https://openalex.org/W1972611794","https://openalex.org/W1982933449","https://openalex.org/W1985121978","https://openalex.org/W1989315300","https://openalex.org/W1989499628","https://openalex.org/W1989823891","https://openalex.org/W1997058467","https://openalex.org/W2001211000","https://openalex.org/W2004067745","https://openalex.org/W2011828779","https://openalex.org/W2012544963","https://openalex.org/W2041794923","https://openalex.org/W2046429450","https://openalex.org/W2047992557","https://openalex.org/W2055876597","https://openalex.org/W2058770581","https://openalex.org/W2081827062","https://openalex.org/W2082148462","https://openalex.org/W2083816818","https://openalex.org/W2089691829","https://openalex.org/W2099223340","https://openalex.org/W2102822724","https://openalex.org/W2117507713","https://openalex.org/W2142076454","https://openalex.org/W2185863412","https://openalex.org/W2486255841","https://openalex.org/W2766104961","https://openalex.org/W2806699598","https://openalex.org/W3004820935","https://openalex.org/W3028641202","https://openalex.org/W4366819356"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W1504912364","https://openalex.org/W4249977926","https://openalex.org/W2012141574","https://openalex.org/W1671909755","https://openalex.org/W2985828462","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W2151791215"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}