{"id":"https://openalex.org/W7165382546","doi":"https://doi.org/10.1016/j.matcom.2026.06.012","title":"Traveling wave solutions for an age-since addiction opioid epidemic model with distributed delays and diffusion","display_name":"Traveling wave solutions for an age-since addiction opioid epidemic model with distributed delays and diffusion","publication_year":2026,"publication_date":"2026-06-20","ids":{"openalex":"https://openalex.org/W7165382546","doi":"https://doi.org/10.1016/j.matcom.2026.06.012"},"language":"en","primary_location":{"id":"doi:10.1016/j.matcom.2026.06.012","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.06.012","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Mathematics and Computers in Simulation","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/A5092902341","display_name":"Rassim Darazirar","orcid":"https://orcid.org/0009-0009-8698-2116"},"institutions":[{"id":"https://openalex.org/I4210164694","display_name":"Hassiba Benbouali University of Chlef","ror":"https://ror.org/04yymzm67","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210164694"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Rassim Darazirar","raw_affiliation_strings":["Faculty of Exact Sciences and informatics, Hassiba Benbouali University of Chlef, Chlef 02000, Algeria","Laboratory of Mathematics and Applications, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Hay Essalam, Chlef 02000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Exact Sciences and informatics, Hassiba Benbouali University of Chlef, Chlef 02000, Algeria","institution_ids":["https://openalex.org/I4210164694"]},{"raw_affiliation_string":"Laboratory of Mathematics and Applications, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Hay Essalam, Chlef 02000, Algeria","institution_ids":["https://openalex.org/I4210164694"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076176608","display_name":"Salih Djilali","orcid":"https://orcid.org/0000-0002-4030-6499"},"institutions":[{"id":"https://openalex.org/I4210164694","display_name":"Hassiba Benbouali University of Chlef","ror":"https://ror.org/04yymzm67","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210164694"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Salih Djilali","raw_affiliation_strings":["Laboratory of Mathematics and Applications, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Hay Essalam, Chlef 02000, Algeria"],"raw_orcid":"https://orcid.org/0000-0002-4030-6499","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Hay Essalam, Chlef 02000, Algeria","institution_ids":["https://openalex.org/I4210164694"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076176608"],"corresponding_institution_ids":["https://openalex.org/I4210164694"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.80882467,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"250","issue":null,"first_page":"54","last_page":"83"},"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":0.4025999903678894,"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":0.4025999903678894,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.09220000356435776,"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/T11860","display_name":"HIV, Drug Use, Sexual Risk","score":0.051600001752376556,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/traveling-wave","display_name":"Traveling wave","score":0.7721999883651733},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.7390000224113464},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6326000094413757},{"id":"https://openalex.org/keywords/opioid-epidemic","display_name":"Opioid epidemic","score":0.5792999863624573},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45170000195503235},{"id":"https://openalex.org/keywords/addiction","display_name":"Addiction","score":0.40209999680519104}],"concepts":[{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.7721999883651733},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.7390000224113464},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6326000094413757},{"id":"https://openalex.org/C2777170798","wikidata":"https://www.wikidata.org/wiki/Q65087481","display_name":"Opioid epidemic","level":4,"score":0.5792999863624573},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45170000195503235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.427700012922287},{"id":"https://openalex.org/C48856860","wikidata":"https://www.wikidata.org/wiki/Q12029","display_name":"Addiction","level":2,"score":0.40209999680519104},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37040001153945923},{"id":"https://openalex.org/C2993816172","wikidata":"https://www.wikidata.org/wiki/Q1639178","display_name":"Opioid addiction","level":4,"score":0.3610000014305115},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C2781063702","wikidata":"https://www.wikidata.org/wiki/Q427523","display_name":"Opioid","level":3,"score":0.31700000166893005},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31279999017715454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2930000126361847},{"id":"https://openalex.org/C2986045365","wikidata":"https://www.wikidata.org/wiki/Q1163350","display_name":"Wave speed","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.28529998660087585},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.28189998865127563},{"id":"https://openalex.org/C2779148768","wikidata":"https://www.wikidata.org/wiki/Q17154378","display_name":"Opioid overdose","level":5,"score":0.2793000042438507},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26019999384880066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25360000133514404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.matcom.2026.06.012","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.06.012","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Mathematics and Computers in Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7916226387023926,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1965297777","https://openalex.org/W1969555865","https://openalex.org/W1970868143","https://openalex.org/W1976743368","https://openalex.org/W1999443299","https://openalex.org/W2008088359","https://openalex.org/W2016334322","https://openalex.org/W2043651266","https://openalex.org/W2055580790","https://openalex.org/W2057070912","https://openalex.org/W2102680671","https://openalex.org/W2102775287","https://openalex.org/W2104258720","https://openalex.org/W2122128564","https://openalex.org/W2153860009","https://openalex.org/W2161728228","https://openalex.org/W2333391037","https://openalex.org/W2806914608","https://openalex.org/W2811485687","https://openalex.org/W2903138952","https://openalex.org/W2912464825","https://openalex.org/W2963576290","https://openalex.org/W3033519309","https://openalex.org/W3035797489","https://openalex.org/W3119544298","https://openalex.org/W3176696964","https://openalex.org/W3194982499","https://openalex.org/W3201648221","https://openalex.org/W4365813086","https://openalex.org/W4400615104","https://openalex.org/W4403434957"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-24T06:17:17.354583","created_date":"2026-06-20T00:00:00"}