{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T11:56:10Z","timestamp":1768478170277,"version":"3.49.0"},"reference-count":14,"publisher":"Wiley","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>We propose and analyze a mathematical model for alcohol drinking problem. The transmission process is modeled as a social \u201ccontact\u201d process between \u201cheavy\u201d alcohol drinkers and \u201clight\u201d alcohol drinkers within an unchanging shared drinking environment. The basic reproductive number of the model is computed and the stability of the model steady states is investigated. Further, the model is fitted to data on alcohol drinking for Cape Town and Gauteng, South Africa. In addition, the basic model is extended to incorporate three time dependent intervention strategies. The control functions represent the efforts and policies aimed at weakening the intensity of social interactions between light and heavy drinkers and increase the fraction of treated individuals who permanently quit alcohol drinking. Optimal control results suggest that effective control of high-risk alcohol drinking can be achieved if more resources and efforts are devoted on weakening the intensity of social interactions between light and heavy drinkers.<\/jats:p>","DOI":"10.1155\/2015\/238784","type":"journal-article","created":{"date-parts":[[2015,7,5]],"date-time":"2015-07-05T17:01:17Z","timestamp":1436115677000},"page":"1-11","source":"Crossref","is-referenced-by-count":13,"title":["The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects"],"prefix":"10.1155","volume":"2015","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7423-2934","authenticated-orcid":true,"given":"Steady","family":"Mushayabasa","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Harare, Zimbabwe"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","year":"1998"},{"key":"3","year":"2014"},{"issue":"4","key":"5","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1142\/S0218339009003083","volume":"17","year":"2009","journal-title":"Journal of Biological Systems"},{"key":"6","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1016\/j.seps.2010.07.006","volume":"44","year":"2010","journal-title":"Socio-Economic Planning Sciences"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s11587-013-0167-3"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/954069"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-9942-4"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-008-9352-z"},{"issue":"2","key":"4","volume":"11","year":"2008","journal-title":"SACENDU Research Brief"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/978-90-481-2313-1_10"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-012-9790-5"},{"key":"12","year":"1975"},{"key":"13","year":"1962"},{"key":"14","year":"2007"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/238784.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/238784.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/238784.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,23]],"date-time":"2017-06-23T11:08:10Z","timestamp":1498216090000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/238784\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":14,"alternative-id":["238784","238784"],"URL":"https:\/\/doi.org\/10.1155\/2015\/238784","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}