{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T17:23:42Z","timestamp":1772040222370,"version":"3.50.1"},"reference-count":12,"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\/"}],"funder":[{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>We formulate an infinite-time quadratic functional minimization problem of<jats:italic>Aedes aegypti<\/jats:italic>mosquito population. Three techniques of mosquito population management, chemical insecticide control, sterile insect technique control, and environmental carrying capacity reduction, are combined in order to obtain the most sustainable strategy to reduce mosquito population and consequently dengue disease. The solution of the optimization control problem is based on the ideas of the Dynamic Programming and Lyapunov Stability using State-Dependent Riccati Equation (SDRE) control method. Different scenarios are analyzed combining three mentioned population management efforts in order to assess the most sustainable policy to reduce the mosquito population.<\/jats:p>","DOI":"10.1155\/2015\/918194","type":"journal-article","created":{"date-parts":[[2015,6,8]],"date-time":"2015-06-08T17:02:22Z","timestamp":1433782942000},"page":"1-8","source":"Crossref","is-referenced-by-count":9,"title":["Optimization of the<i>Aedes aegypti<\/i>Control Strategies for Integrated Vector Management"],"prefix":"10.1155","volume":"2015","author":[{"given":"Marat","family":"Rafikov","sequence":"first","affiliation":[{"name":"UFABC, Centro de Engenharia, Modelagem e Ci\u00eancias Sociais Aplicadas, 09210-580 Santo Andr\u00e9, SP, Brazil"}]},{"given":"Elvira","family":"Rafikova","sequence":"additional","affiliation":[{"name":"UFABC, Centro de Engenharia, Modelagem e Ci\u00eancias Sociais Aplicadas, 09210-580 Santo Andr\u00e9, SP, Brazil"}]},{"given":"Hyun Mo","family":"Yang","sequence":"additional","affiliation":[{"name":"UNICAMP, IMECC, Departamento de Matem\u00e1tica Aplicada, 13081-970 Campinas, SP, Brazil"}]}],"member":"311","reference":[{"key":"1","year":"2009"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1093\/jee\/48.4.459"},{"key":"3","series-title":"Agriculture Handbook 512","year":"1979"},{"key":"4","first-page":"4","volume-title":"Sterile insect technique as screwworm control measure: the concept and its development","year":"1985"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2005.06.004"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1002\/oca.683"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2009.08.009"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1002\/oca.710"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1002\/oca.704"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2010.03.001"},{"issue":"4-5","key":"12","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1002\/(SICI)1099-1239(19980415\/30)8:4\/5<401::AID-RNC361>3.0.CO;2-U","volume":"8","year":"1998","journal-title":"International Journal of Robust and Nonlinear Control"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.10.032"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/918194.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/918194.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/918194.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,23]],"date-time":"2017-06-23T09:16:55Z","timestamp":1498209415000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/918194\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":12,"alternative-id":["918194","918194"],"URL":"https:\/\/doi.org\/10.1155\/2015\/918194","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}