{"id":"https://openalex.org/W2907110154","doi":"https://doi.org/10.1155/2019/6569520","title":"Stability of Traveling Waves to the Lotka\u2010Volterra Competition Model","display_name":"Stability of Traveling Waves to the Lotka\u2010Volterra Competition Model","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2907110154","doi":"https://doi.org/10.1155/2019/6569520","mag":"2907110154"},"language":"en","primary_location":{"id":"doi:10.1155/2019/6569520","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6569520","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6569520.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/6569520.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040403716","display_name":"Ahmad Alhasanat","orcid":"https://orcid.org/0000-0003-1990-0263"},"institutions":[{"id":"https://openalex.org/I100086675","display_name":"Al-Hussein Bin Talal University","ror":"https://ror.org/019dkd780","country_code":"JO","type":"education","lineage":["https://openalex.org/I100086675"]},{"id":"https://openalex.org/I130438778","display_name":"Memorial University of Newfoundland","ror":"https://ror.org/04haebc03","country_code":"CA","type":"education","lineage":["https://openalex.org/I130438778"]}],"countries":["CA","JO"],"is_corresponding":false,"raw_author_name":"Ahmad Alhasanat","raw_affiliation_strings":["Department of Mathematics and Statistics, Al-Hussein Bin Talal University, Ma' an, Jordan","Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7","Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland","Department of Mathematics and Statistics, Al-Hussein Bin Talal University, Ma'an"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Al-Hussein Bin Talal University, Ma' an, Jordan","institution_ids":["https://openalex.org/I100086675"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7","institution_ids":["https://openalex.org/I130438778"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland","institution_ids":["https://openalex.org/I130438778"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Al-Hussein Bin Talal University, Ma'an","institution_ids":["https://openalex.org/I100086675"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021633144","display_name":"Chunhua Ou","orcid":"https://orcid.org/0000-0003-0390-0373"},"institutions":[{"id":"https://openalex.org/I130438778","display_name":"Memorial University of Newfoundland","ror":"https://ror.org/04haebc03","country_code":"CA","type":"education","lineage":["https://openalex.org/I130438778"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Chunhua Ou","raw_affiliation_strings":["Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7","Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7","institution_ids":["https://openalex.org/I130438778"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland","institution_ids":["https://openalex.org/I130438778"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021633144"],"corresponding_institution_ids":["https://openalex.org/I130438778"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.8881,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75887361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2019","issue":"1","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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9950000047683716,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9872999787330627,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.7967711687088013},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7705460786819458},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.7211648225784302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5697469711303711},{"id":"https://openalex.org/keywords/wavefront","display_name":"Wavefront","score":0.5628888010978699},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5227891802787781},{"id":"https://openalex.org/keywords/competition-model","display_name":"Competition model","score":0.5150837302207947},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.4545241892337799},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38871049880981445},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36880630254745483},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35805466771125793},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2941349744796753},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25670260190963745},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1759296953678131},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06486949324607849},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06376680731773376},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.060817837715148926}],"concepts":[{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.7967711687088013},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7705460786819458},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.7211648225784302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5697469711303711},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.5628888010978699},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5227891802787781},{"id":"https://openalex.org/C2777963317","wikidata":"https://www.wikidata.org/wiki/Q5156331","display_name":"Competition model","level":3,"score":0.5150837302207947},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.4545241892337799},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38871049880981445},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36880630254745483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35805466771125793},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2941349744796753},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25670260190963745},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1759296953678131},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06486949324607849},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06376680731773376},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.060817837715148926},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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":3,"locations":[{"id":"doi:10.1155/2019/6569520","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6569520","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6569520.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6569520","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/6569520.xml","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"},{"id":"pmh:oai:doaj.org/article:8e026be461ce475ab2c8f83c043405c2","is_oa":true,"landing_page_url":"https://doaj.org/article/8e026be461ce475ab2c8f83c043405c2","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/6569520","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6569520","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6569520.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.4000000059604645}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2907110154.pdf","grobid_xml":"https://content.openalex.org/works/W2907110154.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W270197000","https://openalex.org/W1506727362","https://openalex.org/W1560060148","https://openalex.org/W1574933112","https://openalex.org/W1583602735","https://openalex.org/W1988691256","https://openalex.org/W1989373948","https://openalex.org/W2000629799","https://openalex.org/W2004717301","https://openalex.org/W2011699976","https://openalex.org/W2012051500","https://openalex.org/W2014863630","https://openalex.org/W2015242641","https://openalex.org/W2016771959","https://openalex.org/W2023090332","https://openalex.org/W2024585822","https://openalex.org/W2049907650","https://openalex.org/W2051281307","https://openalex.org/W2052172730","https://openalex.org/W2056414408","https://openalex.org/W2059769975","https://openalex.org/W2074505548","https://openalex.org/W2075182728","https://openalex.org/W2078535099","https://openalex.org/W2081364736","https://openalex.org/W2082848500","https://openalex.org/W2082936169","https://openalex.org/W2084143341","https://openalex.org/W2091636379","https://openalex.org/W2109860009","https://openalex.org/W2128833277","https://openalex.org/W2156530706","https://openalex.org/W2334364716","https://openalex.org/W2577694891","https://openalex.org/W2792110150","https://openalex.org/W2805947824","https://openalex.org/W4252060993","https://openalex.org/W4255777804","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W2387715373","https://openalex.org/W2980749774","https://openalex.org/W2554382265","https://openalex.org/W2765575629","https://openalex.org/W2007584903","https://openalex.org/W2903824902","https://openalex.org/W1753165571","https://openalex.org/W2060021268","https://openalex.org/W3116348143","https://openalex.org/W2332568996"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,10,19,32,36,47,54,61],"stability":[4,34],"of":[5,35],"traveling":[6,37],"wave":[7],"solutions":[8],"to":[9,59],"Lotka\u2010Volterra":[11],"diffusive":[12],"model":[13,20],"is":[14,57],"investigated.":[15],"First,":[16],"we":[17],"convert":[18],"into":[21],"a":[22,26,42],"cooperative":[23],"system":[24],"by":[25],"special":[27],"transformation.":[28],"The":[29],"local":[30],"and":[31],"global":[33,48],"wavefronts":[38],"are":[39],"studied":[40],"in":[41],"weighted":[43],"functional":[44],"space.":[45],"For":[46],"stability,":[49],"comparison":[50],"principle":[51],"together":[52],"with":[53],"squeezing":[55],"technique":[56],"applied":[58],"derive":[60],"main":[62],"results.":[63]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
