{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T13:08:30Z","timestamp":1771938510383,"version":"3.50.1"},"reference-count":40,"publisher":"Informa UK Limited","issue":"11","funder":[{"name":"Ministry of Human Resources Development","award":["Senior Research Fellowship to Sowndarrajan"],"award-info":[{"award-number":["Senior Research Fellowship to Sowndarrajan"]}]},{"DOI":"10.13039\/501100001871","name":"Foundation for Science and Technology (FCT)","doi-asserted-by":"publisher","award":["UIDB\/04106\/2020 (CIDMA)"],"award-info":[{"award-number":["UIDB\/04106\/2020 (CIDMA)"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Optimization"],"published-print":{"date-parts":[[2022,11,2]]},"DOI":"10.1080\/02331934.2021.2009823","type":"journal-article","created":{"date-parts":[[2021,12,4]],"date-time":"2021-12-04T07:11:36Z","timestamp":1638601896000},"page":"3107-3131","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":13,"title":["Optimal control of a heroin epidemic mathematical model"],"prefix":"10.1080","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4524-5146","authenticated-orcid":false,"given":"P. T.","family":"Sowndarrajan","sequence":"first","affiliation":[{"name":"Department of Applied Sciences, National Institute of Technology, Ponda, Goa, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8565-2005","authenticated-orcid":false,"given":"L.","family":"Shangerganesh","sequence":"additional","affiliation":[{"name":"Department of Applied Sciences, National Institute of Technology, Ponda, Goa, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4321-9515","authenticated-orcid":false,"given":"A.","family":"Debbouche","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Guelma University, Guelma, Algeria"},{"name":"Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, Aveiro, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8641-2505","authenticated-orcid":false,"given":"D. F. M.","family":"Torres","sequence":"additional","affiliation":[{"name":"Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, Aveiro, Portugal"}]}],"member":"301","published-online":{"date-parts":[[2021,12,3]]},"reference":[{"key":"CIT0001","unstructured":"NIDA InfoFacts. Heroin. [cited 2018 Jan]. Available from: http:\/\/www.nida.nih.gov\/infofacts\/heroin.html"},{"key":"CIT0002","unstructured":"UNODC. World Drug Report. 2018. [cited 2018 June]. Available from: https:\/\/www.unodc.org\/wdr2018"},{"key":"CIT0003","unstructured":"Lipari RN, Hughes A. Trends in heroin use in the United States: 2002 to 2013. In: The CBHSQ report. Rockville (MD): Substance Abuse and Mental Health Services Administration, Center for Behavioral Health Statistics and Quality. [cited 2015 April 23]. Available from: https:\/\/www.ncbi.nlm.nih.gov\/books\/NBK343534\/"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1046\/j.1360-0443.2002.00119.x"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1093\/ije\/dyh019"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2009.01.006"},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2006.10.008"},{"key":"CIT0008","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-009-0349-z"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/383154"},{"key":"CIT0010","first-page":"288","volume":"8","author":"Mushayabasa S","year":"2011","journal-title":"Int J Res Rev Appl Sci"},{"key":"CIT0011","unstructured":"United Nations Office on Drugs and Crime (UNODC). World drug report 2014. New York: United Nations; 2014. Sales No. E.14.XI.7. Available from: https:\/\/www.unodc.org\/documents\/wdr2014\/World_Drug_Report_2014_web.pdf"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/1953036"},{"key":"CIT0013","doi-asserted-by":"publisher","DOI":"10.4236\/am.2011.26097"},{"key":"CIT0014","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2013.01.010"},{"key":"CIT0015","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2011.04.019"},{"key":"CIT0016","first-page":"78","volume":"347","author":"Wang J","year":"2019","journal-title":"Appl Math Comput"},{"key":"CIT0017","doi-asserted-by":"publisher","DOI":"10.30707\/LiB6.2Saha"},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-014-0761-3"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2018.10.033"},{"key":"CIT0020","first-page":"1","volume":"50","author":"Joshi H","year":"2015","journal-title":"Electron J Differ Equ"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-019-00605-0"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1016\/j.orhc.2017.08.004"},{"key":"CIT0023","doi-asserted-by":"publisher","DOI":"10.1016\/j.apjtb.2016.01.012"},{"key":"CIT0024","doi-asserted-by":"crossref","first-page":"427","DOI":"10.3934\/jimo.2017054","volume":"14","author":"Area I","year":"2018","journal-title":"J Ind Manag Optim"},{"key":"CIT0025","doi-asserted-by":"publisher","DOI":"10.3934\/math.2021086"},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.3934\/math.2021429"},{"key":"CIT0027","volume-title":"Stability analysis of nonlinear systems","author":"Lakshmikantham V","year":"1989"},{"key":"CIT0028","doi-asserted-by":"publisher","DOI":"10.1016\/S0025-5564(02)00108-6"},{"key":"CIT0029","volume-title":"Lecture notes, forward and adjoint sensitivity analysis: with applications in Dynamical Systems, Linear Algebra and Optimisation","author":"Arriola L","year":"2005"},{"key":"CIT0030","doi-asserted-by":"publisher","DOI":"10.19139\/soic.v7i3.836"},{"key":"CIT0031","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2013.05.005"},{"key":"CIT0032","doi-asserted-by":"publisher","DOI":"10.1137\/080719741"},{"key":"CIT0033","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2016.08.005"},{"key":"CIT0034","volume-title":"Theory of ordinary differential equations","author":"Coddington E","year":"1955"},{"key":"CIT0035","doi-asserted-by":"publisher","DOI":"10.1080\/17513758.2010.535910"},{"key":"CIT0036","doi-asserted-by":"publisher","DOI":"10.1201\/9781420011418"},{"key":"CIT0037","volume-title":"The mathematical theory of optimal processes","author":"Pontryagin LS","year":"1964"},{"key":"CIT0038","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/2020040"},{"key":"CIT0039","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2021.110869"},{"key":"CIT0040","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-017-0438-9"}],"container-title":["Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/02331934.2021.2009823","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,21]],"date-time":"2022-10-21T06:24:48Z","timestamp":1666333488000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/02331934.2021.2009823"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,3]]},"references-count":40,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2022,11,2]]}},"alternative-id":["10.1080\/02331934.2021.2009823"],"URL":"https:\/\/doi.org\/10.1080\/02331934.2021.2009823","relation":{},"ISSN":["0233-1934","1029-4945"],"issn-type":[{"value":"0233-1934","type":"print"},{"value":"1029-4945","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,3]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=gopt20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=gopt20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2021-03-31","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-11-10","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-12-03","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}