{"id":"https://openalex.org/W4408906097","doi":"https://doi.org/10.1155/jama/2241780","title":"Modelling Population Dynamics of Substance Abuse in the Presence of Addicted Immigrant With Real Data of Rehabilitation Cases","display_name":"Modelling Population Dynamics of Substance Abuse in the Presence of Addicted Immigrant With Real Data of Rehabilitation Cases","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4408906097","doi":"https://doi.org/10.1155/jama/2241780"},"language":"en","primary_location":{"id":"doi:10.1155/jama/2241780","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/2241780","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/2241780","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/2241780","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033752663","display_name":"Jamiu A. Ademosu","orcid":null},"institutions":[{"id":"https://openalex.org/I2799500531","display_name":"Lagos State University of Science and Technology","ror":"https://ror.org/01xmrwb67","country_code":"NG","type":"education","lineage":["https://openalex.org/I2799500531"]},{"id":"https://openalex.org/I45230691","display_name":"Ladoke Akintola University of Technology","ror":"https://ror.org/043hyzt56","country_code":"NG","type":"education","lineage":["https://openalex.org/I45230691"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Jamiu Adeyemi Ademosu","raw_affiliation_strings":["Department of Mathematical Sciences ,  Lagos State University of Science and Technology ,  Ikorodu ,  Nigeria","Department of Pure and Applied Mathematics ,  Ladoke Akintola University of Technology ,  Ogbomoso ,  Nigeria ,  lautech.edu.ng"],"raw_orcid":"https://orcid.org/0009-0007-6076-946X","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences ,  Lagos State University of Science and Technology ,  Ikorodu ,  Nigeria","institution_ids":["https://openalex.org/I2799500531"]},{"raw_affiliation_string":"Department of Pure and Applied Mathematics ,  Ladoke Akintola University of Technology ,  Ogbomoso ,  Nigeria ,  lautech.edu.ng","institution_ids":["https://openalex.org/I45230691"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091609190","display_name":"Samson Olaniyi","orcid":"https://orcid.org/0000-0001-6492-1405"},"institutions":[{"id":"https://openalex.org/I45230691","display_name":"Ladoke Akintola University of Technology","ror":"https://ror.org/043hyzt56","country_code":"NG","type":"education","lineage":["https://openalex.org/I45230691"]}],"countries":["NG"],"is_corresponding":true,"raw_author_name":"Samson Olaniyi","raw_affiliation_strings":["Department of Pure and Applied Mathematics ,  Ladoke Akintola University of Technology ,  Ogbomoso ,  Nigeria ,  lautech.edu.ng"],"raw_orcid":"https://orcid.org/0000-0001-6492-1405","affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics ,  Ladoke Akintola University of Technology ,  Ogbomoso ,  Nigeria ,  lautech.edu.ng","institution_ids":["https://openalex.org/I45230691"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006721666","display_name":"Sulaimon F. Abimbade","orcid":"https://orcid.org/0000-0002-1992-9560"},"institutions":[{"id":"https://openalex.org/I45230691","display_name":"Ladoke Akintola University of Technology","ror":"https://ror.org/043hyzt56","country_code":"NG","type":"education","lineage":["https://openalex.org/I45230691"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Sulaimon Femi Abimbade","raw_affiliation_strings":["Department of Pure and Applied Mathematics ,  Ladoke Akintola University of Technology ,  Ogbomoso ,  Nigeria ,  lautech.edu.ng"],"raw_orcid":"https://orcid.org/0000-0002-1992-9560","affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics ,  Ladoke Akintola University of Technology ,  Ogbomoso ,  Nigeria ,  lautech.edu.ng","institution_ids":["https://openalex.org/I45230691"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034570676","display_name":"Furaha M. Chuma","orcid":"https://orcid.org/0000-0002-6672-3039"},"institutions":[{"id":"https://openalex.org/I182078086","display_name":"University of Dar es Salaam","ror":"https://ror.org/0479aed98","country_code":"TZ","type":"education","lineage":["https://openalex.org/I182078086"]}],"countries":["TZ"],"is_corresponding":false,"raw_author_name":"Furaha Michael Chuma","raw_affiliation_strings":["Department of Physics ,  Mathematics and Informatics ,  Dar es Salaam University College of Education ,  Dar es Salaam ,  Tanzania ,  duce.ac.tz"],"raw_orcid":"https://orcid.org/0000-0002-6672-3039","affiliations":[{"raw_affiliation_string":"Department of Physics ,  Mathematics and Informatics ,  Dar es Salaam University College of Education ,  Dar es Salaam ,  Tanzania ,  duce.ac.tz","institution_ids":["https://openalex.org/I182078086"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067117688","display_name":"Richard C. Ogbonna","orcid":null},"institutions":[{"id":"https://openalex.org/I77310417","display_name":"Evangel University","ror":"https://ror.org/05shfp710","country_code":"US","type":"education","lineage":["https://openalex.org/I77310417"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Chinedu Ogbonna","raw_affiliation_strings":["Department of Computer Science and Mathematics ,  Evangel University Akaeze ,  Akaeze ,  Ebonyi State ,  Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematics ,  Evangel University Akaeze ,  Akaeze ,  Ebonyi State ,  Nigeria","institution_ids":["https://openalex.org/I77310417"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018584313","display_name":"Ramoshweu Solomon Lebelo","orcid":"https://orcid.org/0000-0002-8051-1569"},"institutions":[{"id":"https://openalex.org/I129615261","display_name":"Vaal University of Technology","ror":"https://ror.org/05ey7mm31","country_code":"ZA","type":"education","lineage":["https://openalex.org/I129615261"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Ramoshweu Solomon Lebelo","raw_affiliation_strings":["Department of Applied Physical Sciences ,  Vaal University of Technology ,  Vanderbijlpark ,  South Africa ,  vut.ac.za"],"raw_orcid":"https://orcid.org/0000-0002-8051-1569","affiliations":[{"raw_affiliation_string":"Department of Applied Physical Sciences ,  Vaal University of Technology ,  Vanderbijlpark ,  South Africa ,  vut.ac.za","institution_ids":["https://openalex.org/I129615261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016852610","display_name":"Kazeem O. Okosun","orcid":"https://orcid.org/0000-0001-7798-5459"},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kazeem Oare Okosun","raw_affiliation_strings":["Department of Mathematics ,  University of Kansas ,  Lawrence ,  Kansas ,  USA ,  ku.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  University of Kansas ,  Lawrence ,  Kansas ,  USA ,  ku.edu","institution_ids":["https://openalex.org/I146416000"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5091609190"],"corresponding_institution_ids":["https://openalex.org/I45230691"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":16.5587,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.99277837,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"2025","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":0.9993000030517578,"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":0.9993000030517578,"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":0.996999979019165,"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/immigration","display_name":"Immigration","score":0.7657032012939453},{"id":"https://openalex.org/keywords/rehabilitation","display_name":"Rehabilitation","score":0.5913308262825012},{"id":"https://openalex.org/keywords/substance-abuse","display_name":"Substance abuse","score":0.5488049983978271},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5414637923240662},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4944946765899658},{"id":"https://openalex.org/keywords/addiction","display_name":"Addiction","score":0.490968257188797},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.43383342027664185},{"id":"https://openalex.org/keywords/criminology","display_name":"Criminology","score":0.3674553632736206},{"id":"https://openalex.org/keywords/psychiatry","display_name":"Psychiatry","score":0.30509933829307556},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.2889878749847412},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.19083446264266968},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.10513424873352051}],"concepts":[{"id":"https://openalex.org/C70036468","wikidata":"https://www.wikidata.org/wiki/Q131288","display_name":"Immigration","level":2,"score":0.7657032012939453},{"id":"https://openalex.org/C2778818304","wikidata":"https://www.wikidata.org/wiki/Q1819478","display_name":"Rehabilitation","level":2,"score":0.5913308262825012},{"id":"https://openalex.org/C40010229","wikidata":"https://www.wikidata.org/wiki/Q3184856","display_name":"Substance abuse","level":2,"score":0.5488049983978271},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5414637923240662},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4944946765899658},{"id":"https://openalex.org/C48856860","wikidata":"https://www.wikidata.org/wiki/Q12029","display_name":"Addiction","level":2,"score":0.490968257188797},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.43383342027664185},{"id":"https://openalex.org/C73484699","wikidata":"https://www.wikidata.org/wiki/Q161733","display_name":"Criminology","level":1,"score":0.3674553632736206},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.30509933829307556},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.2889878749847412},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.19083446264266968},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.10513424873352051},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/jama/2241780","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/2241780","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/2241780","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnljam:2241780","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/jam/2025/2241780.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:57a0328fe58e4d9288e720dfdea1f314","is_oa":true,"landing_page_url":"https://doaj.org/article/57a0328fe58e4d9288e720dfdea1f314","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2025 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/jama/2241780","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/2241780","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/2241780","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408906097.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W896959878","https://openalex.org/W2039334331","https://openalex.org/W2102798763","https://openalex.org/W2112680994","https://openalex.org/W2274289758","https://openalex.org/W2286605038","https://openalex.org/W2320469783","https://openalex.org/W2321250409","https://openalex.org/W2562129035","https://openalex.org/W2610266479","https://openalex.org/W2752209484","https://openalex.org/W2783450233","https://openalex.org/W2960579660","https://openalex.org/W2971752122","https://openalex.org/W2996322840","https://openalex.org/W3023545873","https://openalex.org/W3034998941","https://openalex.org/W3078457651","https://openalex.org/W3108955555","https://openalex.org/W3195058167","https://openalex.org/W4210417410","https://openalex.org/W4285233198","https://openalex.org/W4294000628","https://openalex.org/W4296876999","https://openalex.org/W4297092699","https://openalex.org/W4299571672","https://openalex.org/W4320478968","https://openalex.org/W4376126059","https://openalex.org/W4379014951","https://openalex.org/W4389950205","https://openalex.org/W4390511166","https://openalex.org/W4390887267","https://openalex.org/W4391941251","https://openalex.org/W4391951411","https://openalex.org/W4394993168","https://openalex.org/W4398141579","https://openalex.org/W4398218434","https://openalex.org/W4399653741","https://openalex.org/W4400390766","https://openalex.org/W4400615104","https://openalex.org/W4403996455","https://openalex.org/W4404059672","https://openalex.org/W6694440578"],"related_works":["https://openalex.org/W2891252757","https://openalex.org/W2005441443","https://openalex.org/W2273917609","https://openalex.org/W3121642460","https://openalex.org/W136810046","https://openalex.org/W3123059865","https://openalex.org/W2587158935","https://openalex.org/W3126052823","https://openalex.org/W3124033816","https://openalex.org/W3212206169"],"abstract_inverted_index":{"Excessive":[0],"intake":[1],"or":[2],"injection":[3],"of":[4,32,50,72,77,99,114,129,145,156,174],"substances,":[5],"namely,":[6],"medications,":[7],"alcohol,":[8],"and":[9,22,35,56,75,110,119,138,150],"other":[10,67],"harmful":[11,172],"drugs,":[12],"has":[13],"resulted":[14],"into":[15,64],"unimaginable":[16],"serious":[17],"consequences,":[18],"including":[19],"mental":[20,101],"health":[21],"social":[23],"problems.":[24],"In":[25],"an":[26],"attempt":[27],"to":[28,91,165],"understand":[29],"the":[30,41,70,93,96,108,126,146,154,171,178],"dynamics":[31,155],"substance":[33,81,130,157,175],"abuse":[34,131,158,176],"forestall":[36],"its":[37],"potential":[38,127],"spread":[39,128,173],"in":[40,58,133,177],"population,":[42],"a":[43,120,134,163],"novel":[44],"model":[45,62,94,147],"based":[46],"on":[47,153],"nonlinear":[48],"system":[49],"ordinary":[51],"differential":[52],"equations":[53],"is":[54,89,141],"formulated":[55],"analysed":[57],"this":[59],"study.":[60],"The":[61],"takes":[63],"account,":[65],"among":[66],"important":[68],"features,":[69],"influx":[71],"addicted":[73],"immigrant":[74],"rehabilitation":[76],"individuals":[78],"affected":[79],"by":[80],"abuse.":[82],"Least":[83],"squares":[84],"method":[85],"with":[86,95,162],"minimization\u2010constrained":[87],"function":[88],"employed":[90],"fit":[92],"real":[97],"data":[98],"substance\u2010induced":[100],"cases":[102],"under":[103],"rehabilitation.":[104],"Conditions":[105],"that":[106],"guarantee":[107],"existence":[109],"global":[111],"asymptotic":[112],"stability":[113],"steady":[115],"states":[116],"are":[117,148,160],"established,":[118],"key":[121],"threshold":[122],"quantity":[123],"which":[124],"measures":[125,169],"influence":[132],"community":[135],"comprising":[136],"susceptible":[137],"prudent":[139],"populations":[140],"determined.":[142],"Sensitive":[143],"parameters":[144],"identified,":[149],"their":[151],"effects":[152],"transmission":[159],"investigated":[161],"view":[164],"suggesting":[166],"possible":[167],"effective":[168],"against":[170],"population.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}