{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T14:47:05Z","timestamp":1791298025374,"version":"4.1.0"},"reference-count":48,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.3934\/mbe.2012.9.369","type":"journal-article","created":{"date-parts":[[2012,3,8]],"date-time":"2012-03-08T10:34:40Z","timestamp":1331202880000},"page":"369-392","source":"Crossref","is-referenced-by-count":61,"title":["Optimal control of chikungunya disease: Larvae reduction, treatment and prevention"],"prefix":"10.3934","volume":"9","member":"2321","reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1016\/j.cam.2005.02.004","article-title":"<em>HIV dynamics: Modeling, data analysis, and optimal treatment protocols<\/em>,","volume":"184","author":"B. M. Adams","year":"2005","journal-title":"J. Comput. Appl. Math."},{"key":"2","doi-asserted-by":"publisher","first-page":"223","DOI":"10.3934\/mbe.2004.1.223","article-title":"<em>Dynamic multidrug therapies for HIV: Optimal and STI control approaches<\/em>,","volume":"1","author":"B. M. Adams","year":"2004","journal-title":"Mathematical Biosciences and Engineering"},{"key":"3","first-page":"340","article-title":"<em>Introduction and establishment of Aedes (Stegomyia) albopictus skuse (diptera : Culicidae) in Albania<\/em>,","volume":"14","author":"J. Adhami","year":"1998","journal-title":"American Mosquito Control Association"},{"key":"4","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.jtbi.2010.11.016","article-title":"<em>Modeling resistance to genetic control of insects<\/em>,","volume":"270","author":"N. Alphey","year":"2011","journal-title":"Journal of Theoretical Biology"},{"key":"5","article-title":"<em>Be dry with mosquitoes<\/em>, 2011.","journal-title":"Available from: \\url{http:\/\/www.albopictus.eid-med.org\/}."},{"key":"6","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.1007\/s11538-006-9166-9","article-title":"<em>Approximation of the basic reproduction number $R_0$ for vector-borne diseases with a periodic vector population<\/em>,","volume":"69","author":"N. Baca\u00ebr","year":"2007","journal-title":"Bulletin of Mathematical Biology"},{"key":"7","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1089\/vbz.2006.0562","article-title":"<em>Spread of the tiger: Global risk of invasion by the mosquito Aedes albopictus<\/em>,","volume":"7","author":"M. Q. Benedict","year":"2007","journal-title":"Vector Borne and Zoonotic Diseases"},{"key":"8","doi-asserted-by":"publisher","first-page":"587","DOI":"10.3934\/dcdsb.2009.11.587","article-title":"<em>Optimal control of vector-borne disease: Treatment and prevention<\/em>,","volume":"11","author":"K. Blayneh","year":"2009","journal-title":"Discrete and Continuous Dynamical Systems Series B"},{"key":"9","doi-asserted-by":"publisher","first-page":"550","DOI":"10.1016\/j.jtbi.2009.02.016","article-title":"<em>The effects of human movement on the persistence of vector-borne diseases<\/em>,","volume":"258","author":"C. Cosner","year":"2009","journal-title":"Journal of Theoretical Biology"},{"key":"10","doi-asserted-by":"crossref","first-page":"708","DOI":"10.1016\/S1578-2190(08)70347-0","article-title":"<em>Asian tiger mosquito bites: Perception of the affected population after Aedes albopictus became established in Spain<\/em>,","volume":"99","author":"N. Curc\u00f3","year":"2008","journal-title":"Actas Dermo-Sifiliogr\u00e0ficas (English Edition)"},{"key":"11","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/j.pneurobio.2009.12.006","article-title":"<em>Chikungunya fever: CNS infection and pathologies of a re-emerging arbovirus<\/em>,","volume":"91","author":"T. Das","year":"2010","journal-title":"Progress in Neurobiology"},{"key":"12","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1603\/033.046.0105","article-title":"<em>Influence of temperature on immature development, survival, longevity, fecundity, and gonotrophic cycles of Aedes albopictus, vector of chikungunya and dengue in the Indian Ocean<\/em>,","volume":"46","author":"H. Delatte","year":"2009","journal-title":"Journal of Medical Entomology"},{"key":"13","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1051\/parasite\/2008151003","article-title":"<em>Aedes albopictus, vector of chikungunya and dengue viruses in reunion island: Biology and control<\/em>,","volume":"15","author":"H. Delatte","year":"2008","journal-title":"Parasite"},{"key":"14","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1016\/S0140-6736(08)60336-0","article-title":"<em>Chikungunya in Europe<\/em>,","volume":"371","author":"E. Depoortere","year":"2008","journal-title":"The Lancet"},{"key":"15","doi-asserted-by":"crossref","first-page":"281","DOI":"10.4269\/ajtmh.1999.60.281","article-title":"<em>Vectors of chikungunya virus in Senegal: Current data and transmission cycles<\/em>,","volume":"60","author":"M. Diallo","year":"1999","journal-title":"The American Journal of Tropical Medicine and Hygiene"},{"key":"16","article-title":"\"Mathematical Epidemiology of Infectious Diseases. Model Building, Analysis and Interpretation,\"","author":"O. Diekmann","year":"2000","journal-title":"Wiley Series in Mathematical and Computational Biology"},{"key":"17","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/S0025-5564(02)00108-6","article-title":"<em>Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission<\/em>,","volume":"180","author":"P. van den Driessche","year":"2002","journal-title":"Mathematical Biosciences"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0005895","article-title":"<em>Chikungunya virus and Aedes mosquitoes: Saliva is infectious as soon as two days after oral infection<\/em>,","volume":"4","author":"M. Dubrulle","year":"2009","journal-title":"PLoS ONE"},{"key":"19","doi-asserted-by":"publisher","first-page":"313","DOI":"10.3934\/mbe.2010.7.313","article-title":"<em>Vector control for the chikungunya disease,<\/em>","volume":"7","author":"Y. Dumont","year":"2010","journal-title":"Mathematical Biosciences and Engineering"},{"key":"20","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1016\/j.mbs.2008.02.008","article-title":"<em>On a temporal model for the chikungunya disease: Modeling, theory and numerics<\/em>,","volume":"213","author":"Y. Dumont","year":"2008","journal-title":"Mathematical Biosciences"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1126\/science.317.5844.1485a","article-title":"<em>Epidemiology: Tropical disease follows mosquitoes to Europe<\/em>,","volume":"317","author":"M. Enserink","year":"2007","journal-title":"Science"},{"key":"22","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1007\/s002850050147","article-title":"<em>A model for dengue disease with variable human population<\/em>,","volume":"38","author":"L. Esteva","year":"1999","journal-title":"Journal of Mathematical Biology"},{"key":"23","article-title":"\"Deterministic and Stochastic Optimal Control,\"","author":"W. H. Fleming","year":"1975","journal-title":"Applications of Mathematics"},{"key":"24","article-title":"\"The Insects: An Outline of Entomology,\" 4<SUP>th<\/SUP> edition,","author":"P. J. Gullan","year":"2010","journal-title":"Wiley-Blackwell"},{"key":"25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S1386-6532(03)00010-6","article-title":"<em>Dengue and dengue hemorrhagic fever in the Americas: Lessons and challenges<\/em>,","volume":"27","author":"M. G. Guzman","year":"2003","journal-title":"Journal of Clinical Virology"},{"key":"26","first-page":"1","article-title":"<em>The biology of Aedes albopictus<\/em>,","volume":"1","author":"W. A. Hawley","year":"1988","journal-title":"J. Am. Mosq. Control Assoc. Suppl."},{"key":"27","doi-asserted-by":"publisher","first-page":"599","DOI":"10.1137\/S0036144500371907","article-title":"<em>The mathematics of infectious diseases<\/em>,","volume":"42","author":"H. Hethcote","year":"2000","journal-title":"SIAM Review"},{"key":"28","doi-asserted-by":"publisher","first-page":"473","DOI":"10.3934\/dcdsb.2002.2.473","article-title":"<em>Optimal control of treatments in a two-strain tuberculosis model<\/em>,","volume":"2","author":"E. Jung","year":"2002","journal-title":"Discrete and Continuous Dynamical Systems Series B"},{"key":"29","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.trstmh.2004.03.013","article-title":"<em>Tracking the re-emergence of epidemic chikungunya virus in Indonesia<\/em>,","volume":"99","author":"K. Laras","year":"2005","journal-title":"Transactions of the Royal Society of Tropical Medicine and Hygiene"},{"key":"30","article-title":"\"Differential Equations. Classical to Controlled,\"","volume":"162","author":"D. L. Lukes","year":"1982","journal-title":"Mathematics in Science and Engineering"},{"key":"31","first-page":"23","article-title":"<em>An epidemic of virus disease in Southern Province, Tanganyika territory, in 1952-1953. II. General description and epidemiology<\/em>,","volume":"49","author":"W. H. R. Lumdsen","year":"1955","journal-title":"Transactions of the Royal Society of Tropical Medicine and Hygiene"},{"key":"32","first-page":"44","article-title":"<em>Geographic spread of Aedes albopictus and potential for involvement in arbovirus cycles in the Mediterranean basin<\/em>,","volume":"20","author":"C. J. Mitchell","year":"1995","journal-title":"Journal of Vector Ecology"},{"key":"33","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/j.mbs.2010.10.008","article-title":"<em>The chikungunya disease: Modeling, vector and transmission global dynamics<\/em>,","volume":"229","author":"D. Moulay","year":"2011","journal-title":"Mathematical Biosciences"},{"key":"34","doi-asserted-by":"publisher","first-page":"1177","DOI":"10.1016\/j.micinf.2009.05.005","article-title":"<em>Aedes albopictus, an arbovirus vector: From the darkness to the light<\/em>,","volume":"11","author":"C. Paupy","year":"2009","journal-title":"Microbes and Infection"},{"key":"35","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/j.medmal.2006.04.002","article-title":"<em>Infection \u00e0 virus chikungunya: Revue g\u00e9n\u00e9rale par temps d'\u00e9pid\u00e9mie<\/em>,","volume":"36","author":"G. Pialoux","year":"2006","journal-title":"M\u00e9decine et Maladies Infectieuses"},{"key":"36","article-title":"\"The Mathematical Theory of Optimal Processes,\"","author":"L. Pontryagin","year":"1964","journal-title":"A Pergamon Press Book"},{"key":"37","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.trstmh.2009.07.031","article-title":"<em>Atypical manifestations of chikungunya infection<\/em>,","volume":"104","author":"S. Rajapakse","year":"2010","journal-title":"Transactions of the Royal Society of Tropical Medicine and Hygiene"},{"key":"38","doi-asserted-by":"publisher","first-page":"1840","DOI":"10.1016\/S0140-6736(07)61779-6","article-title":"<em>Infection with chikungunya virus in Italy: An outbreak in a temperate region<\/em>,","volume":"370","author":"G. Rezza","year":"2007","journal-title":"The Lancet"},{"key":"39","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1016\/0035-9203(55)90080-8","article-title":"<em>An epidemic of virus disease in Southern Province, Tanganyika territory, in 1952-53. I. Clinical features<\/em>,","volume":"49","author":"M. C. Robinson","year":"1955","journal-title":"Transactions of the Royal Society of Tropical Medicine and Hygiene"},{"key":"40","first-page":"177","article-title":"<em>The newala epidemic. III. The virus: Isolation, pathogenic properties and relationship to the epidemic<\/em>,","volume":"54","author":"R. W. Ross","year":"1956","journal-title":"Epidemiology and Infection"},{"key":"41","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.trstmh.2009.07.014","article-title":"<em>Estimating the burden of disease and the economic cost attributable to chikungunya, Andhra Pradesh, India, 2005-2006<\/em>,","volume":"104","author":"T. Seyler","year":"2010","journal-title":"Transactions of the Royal Society of Tropical Medicine and Hygiene"},{"key":"42","doi-asserted-by":"publisher","first-page":"780","DOI":"10.1016\/j.trstmh.2008.02.018","article-title":"<em>Outbreak of chikungunya fever in Mayotte, Comoros Archipelago, 2005-2006<\/em>,","volume":"102","author":"D. Sissoko","year":"2008","journal-title":"Transactions of the Royal Society of Tropical Medicine and Hygiene"},{"key":"43","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1007\/s12038-008-0063-2","article-title":"<em>Chikungunya: An overview<\/em>,","volume":"33","author":"A. B. Sudeep","year":"2008","journal-title":"Journal of Biosciences"},{"key":"44","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/j.jcv.2009.06.027","article-title":"<em>Systemic involvements and fatalities during chikungunya epidemic in India, 2006<\/em>,","volume":"46","author":"B. V. Tandale","year":"2009","journal-title":"Journal of Clinical Virology"},{"key":"45","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.mbs.2009.08.009","article-title":"<em>Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide<\/em>,","volume":"223","author":"R. C. Thom\u00e9","year":"2010","journal-title":"Mathematical Biosciences"},{"key":"46","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1016\/j.actatropica.2007.09.009","article-title":"<em>Chikungunya: A risk for Mediterranean countries<\/em>,","volume":"105","author":"M. Vazeille","year":"2008","journal-title":"Acta Tropica"},{"key":"47","article-title":"<em>Dengue and severe dengue,<\/em>","author":"World-Health-Organization","year":"2008","journal-title":"factsheet no. 117"},{"key":"48","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/j.amc.2007.08.046","article-title":"<em>Assessing the effects of vector control on dengue transmission<\/em>,","volume":"198","author":"H. M. Yang","year":"2008","journal-title":"Applied Mathematics and Computation"}],"container-title":["Mathematical Biosciences and Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.aimspress.com\/article\/10.3934\/mbe.2012.9.369\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,1]],"date-time":"2020-02-01T04:00:26Z","timestamp":1580529626000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.aimspress.com\/article\/10.3934\/mbe.2012.9.369"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":48,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012]]}},"URL":"https:\/\/doi.org\/10.3934\/mbe.2012.9.369","relation":{},"ISSN":["1551-0018"],"issn-type":[{"value":"1551-0018","type":"print"}],"subject":[],"published":{"date-parts":[[2012]]}}}