메뉴 건너뛰기




Volumn 9, Issue 2, 2012, Pages 369-392

Optimal control of chikungunya disease: Larvae reduction, treatment and prevention

Author keywords

Aedes albopictus; Chikungunya; Optimal control; Vector borne disease

Indexed keywords

AEDES; ALPHAVIRUS INFECTION; ANIMAL; ARTICLE; BIOLOGICAL MODEL; DISEASE CONTROL; DISEASE TRANSMISSION; DRUG EFFECT; ECONOMICS; FEMALE; HUMAN; LARVA; MATHEMATICAL COMPUTING; METHODOLOGY; MOSQUITO; VIROLOGY;

EID: 84858180938     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2012.9.369     Document Type: Article
Times cited : (70)

References (48)
  • 3
    • 0032163957 scopus 로고    scopus 로고
    • Introduction and establishment of Aedes (Stegomyia) albopictus skuse (diptera: culicidae) in Albania
    • J. Adhami and P. Reiter, Introduction and establishment of Aedes (Stegomyia) albopictus skuse (diptera : Culicidae) in Albania, American Mosquito Control Association, 14 (1998), 340-343. (Pubitemid 128477636)
    • (1998) Journal of the American Mosquito Control Association , vol.14 , Issue.3 , pp. 340-343
    • Adhami, J.1    Reiter, P.2
  • 5
    • 84872054050 scopus 로고    scopus 로고
    • Be dry with mosquitoes, 2011. Available from: http://www.albopictus.eid- med.org/.
    • (2011) Be Dry with Mosquitoes
  • 6
    • 33947541669 scopus 로고    scopus 로고
    • 0 for vector-borne diseases with a periodic vector population
    • DOI 10.1007/s11538-006-9166-9
    • N. Bacäer, Approximation of the basic reproduction number Ro for vector-borne diseases with a periodic vector population, Bulletin of Mathematical Biology, 69 (2007), 1067-1091. (Pubitemid 46466311)
    • (2007) Bulletin of Mathematical Biology , vol.69 , Issue.3 , pp. 1067-1091
    • Bacaer, N.1
  • 7
    • 34247262629 scopus 로고    scopus 로고
    • Spread of the tiger: Global risk of invasion by the mosquito Aedes albopictus
    • DOI 10.1089/vbz.2006.0562
    • M. Q. Benedict, R. S. Levine, W. A. Hawley and L. P. Lounibos, Spread of the tiger: Global risk of invasion by the mosquito Aedes albopictus, Vector Borne and Zoonotic Diseases, 7 (2007), 76-85. (Pubitemid 46626693)
    • (2007) Vector-Borne and Zoonotic Diseases , vol.7 , Issue.1 , pp. 76-85
    • Benedict, M.Q.1    Levine, R.S.2    Hawley, W.A.3    Lounibos, L.P.4
  • 12
    • 59149088435 scopus 로고    scopus 로고
    • Influence of temperature on imma- ture development, survival, longevity, fecundity, and gonotrophic cycles of Aedes albopictus, vector of chikungunya and dengue in the Indian Ocean
    • H. Delatte, G. Gimonneau, A. Triboire and D.Fontenille, Influence of temperature on imma- ture development, survival, longevity, fecundity, and gonotrophic cycles of Aedes albopictus, vector of chikungunya and dengue in the Indian Ocean, Journal of Medical Entomology, 46 (2009), 33-41.
    • (2009) Journal of Medical Entomology , vol.46 , pp. 33-41
    • Delatte, H.1    Gimonneau, G.2    Triboire, A.3    Fontenille, D.4
  • 13
    • 40949137447 scopus 로고    scopus 로고
    • Aedes albopictus, vecteur des virus du chikungunya et de la dengue a la réunion biologie et contrôle
    • H. Delatte, C. Paupy, J. S. Dehecq, J. Thiria, A. B. Failloux and D. Fontenille, Aedes al- bopictus, vector of chikungunya and dengue viruses in reunion island: Biology and control, Parasite, 15 (2008), 3-13. (Pubitemid 351412852)
    • (2008) Parasite , vol.15 , Issue.1 , pp. 3-13
    • Delatte, H.1    Paupy, C.2    Dehecq, J.S.3    Thiria, J.4    Failloux, A.B.5    Fontenille, D.6
  • 16
    • 0003426971 scopus 로고    scopus 로고
    • Mathematical epidemiology of infectious diseases
    • Model Building, Analysis and Interpretation," Wiley John Wiley & Sons, Ltd., Chichester
    • O. Diekmann and J .A. P. Heesterbeek, "Mathematical Epidemiology of Infectious Diseases. Model Building, Analysis and Interpretation," Wiley Series in Mathematical and Computa- tional Biology, John Wiley & Sons, Ltd., Chichester, 2000.
    • (2000) Series in Mathematical and Computa- Tional Biology
    • Diekmann, O.1    Heesterbeek, J.A.P.2
  • 17
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • DOI 10.1016/S0025-5564(02)00108-6, PII S0025556402001086
    • P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180 (2002), 29-48. (Pubitemid 35304346)
    • (2002) Mathematical Biosciences , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 18
    • 67651250538 scopus 로고    scopus 로고
    • Failloux, Chikungunya virus and Aedes mosquitoes: Saliva is infectious as soon as two days after oral infection
    • M. Dubrulle, L. Mousson, S. Moutailler, M. Vazeille and A. B. Failloux, Chikungunya virus and Aedes mosquitoes: Saliva is infectious as soon as two days after oral infection, PLoS ONE, 4 (2009), e5895.
    • (2009) PLoS ONE , vol.4
    • Dubrulle, M.1    Mousson, L.2    Moutailler, S.3    Vazeille, M.4    Failloux, A.B.5
  • 20
    • 43049140192 scopus 로고    scopus 로고
    • On a temporal model for the chikungunya disease: Modeling, theory and numerics
    • Y. Dumont, F. Chiroleu and C. Domerg, On a temporal model for the chikungunya disease: Modeling, theory and numerics, Mathematical Biosciences, 213 (2008), 80-91.
    • (2008) Mathematical Biosciences , vol.213 , pp. 80-91
    • Dumont, Y.1    Chiroleu, F.2    Domerg, C.3
  • 21
    • 34548686778 scopus 로고    scopus 로고
    • Epidemiology: Tropical disease follows mosquitoes to Europe
    • M. Enserink, Epidemiology: Tropical disease follows mosquitoes to Europe, Science, 317 (2007), 1485a.
    • (2007) Science , vol.317
    • Enserink, M.1
  • 22
    • 0033089022 scopus 로고    scopus 로고
    • A model for dengue disease with variable human population
    • L. Esteva and C. Vargas, A model for dengue disease with variable human population, Journal of Mathematical Biology, 38 (1999), 220-240.
    • (1999) Journal of Mathematical Biology , vol.38 , pp. 220-240
    • Esteva, L.1    Vargas, C.2
  • 23
    • 0003347615 scopus 로고
    • Deterministic and Stochastic Optimal Control
    • Springer- Verlag, Berlin-New York
    • W. H. Fleming and R. W. Rishel, "Deterministic and Stochastic Optimal Control," Applica- tions of Mathematics, No. 1, Springer-Verlag, Berlin-New York, 1975.
    • (1975) Applica- Tions of Mathematics , Issue.1
    • Fleming, W.H.1    Rishel, R.W.2
  • 25
    • 0037408183 scopus 로고    scopus 로고
    • Dengue and dengue hemorrhagic fever in the Americas: Lessons and challenges
    • DOI 10.1016/S1386-6532(03)00010-6
    • M. G. Guzman and G. Kouri, Dengue and dengue hemorrhagic fever in the Americas: Lessons and challenges, Journal of Clinical Virology, 27 (2003), 1-13. (Pubitemid 36513584)
    • (2003) Journal of Clinical Virology , vol.27 , Issue.1 , pp. 1-13
    • Guzman, M.G.1    Kouri, G.2
  • 27
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • SIAM
    • H. Hethcote, The mathematics of infectious diseases, SIAM Review, 42 (2000), 599-653.
    • (2000) Review , vol.2 , pp. 599-653
    • Hethcote, H.1
  • 30
    • 0342606089 scopus 로고
    • Differential equations. Classical to controlled
    • Academic Press, Inc. [ Harcourt BraceJovanovich, Publishers], London-New York
    • D. L. Lukes, "Differential Equations. Classical to Controlled," Mathematics in Science and Engineering, 162, Academic Press, Inc. [Harcourt BraceJovanovich, Publishers], London-New York, 1982.
    • (1982) Mathematics in Science and Engineering , vol.162
    • Lukes, D.L.1
  • 32
    • 0002558450 scopus 로고
    • Geographic spread of Aedes albopictus and potential for involvement in ar- bovirus cycles in the Mediterranean basin
    • C. J. Mitchell, Geographic spread of Aedes albopictus and potential for involvement in ar- bovirus cycles in the Mediterranean basin, Journal of Vector Ecology, 20 (1995), 44-58.
    • (1995) Journal of Vector Ecology , vol.20 , pp. 44-58
    • Mitchell, C.J.1
  • 33
    • 78650749901 scopus 로고    scopus 로고
    • The chikungunya disease: Modeling, vector and transmission global dynamics
    • D. Moulay, M. A. Aziz-Alaoui and M. Cadivel, The chikungunya disease: Modeling, vector and transmission global dynamics, Mathematical Biosciences, 229 (2011), 50-63.
    • (2011) Mathematical Biosciences , vol.229 , pp. 50-63
    • Moulay, D.1    Aziz-Alaoui, M.A.2    Cadivel, M.3
  • 35
    • 33746176077 scopus 로고    scopus 로고
    • Infection a virus Chikungunya : revue générale par temps d'épidémie
    • DOI 10.1016/j.medmal.2006.04.002, PII S0399077X06001053
    • G. Pialoux, B. A. Gaüz̀ere and M. Strobel, Infection ̀a virus chikungunya: Revue ǵeńerale par temps d'́epid́ emie, Ḿedecine et Maladies Infectieuses, 36 (2006), 253-263. (Pubitemid 44081858)
    • (2006) Medecine et Maladies Infectieuses , vol.36 , Issue.5 , pp. 253-263
    • Pialoux, G.1    Gauzere, B.-A.2    Strobel, M.3
  • 39
    • 0002089613 scopus 로고
    • An epidemic of virus disease in Southern Province
    • I. Clinical features, Transactions of the Royal Society of Tropical Medicine and Hygiene
    • M. C. Robinson, An epidemic of virus disease in Southern Province, Tanganyika territory, in 1952-53. I. Clinical features, Transactions of the Royal Society of Tropical Medicine and Hygiene, 49 (1955), 28-32.
    • (1955) Tanganyika Territory , vol.49 , pp. 1952-53
    • Robinson, M.C.1
  • 40
    • 78651181856 scopus 로고
    • The newala epidemic. III. The virus: Isolation, pathogenic properties and rela- tionship to the epidemic
    • R. W. Ross, The newala epidemic. III. The virus: Isolation, pathogenic properties and rela- tionship to the epidemic, Epidemiology and Infection, 54 (1956), 177-191.
    • (1956) Epidemiology and Infection , vol.54 , pp. 177-191
    • Ross, R.W.1
  • 45
    • 72449202600 scopus 로고    scopus 로고
    • Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide
    • R. C Thoḿe, H. M. Yang and L. Esteva, Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide, Mathematical Biosciences, 223 (2010), 12-23.
    • (2010) Mathematical Biosciences , vol.223 , pp. 12-23
    • Thoḿe, R.C.1    Yang, H.M.2    Esteva, L.3
  • 46
    • 38549157592 scopus 로고    scopus 로고
    • Chikungunya: A risk for Mediterranean countries?
    • DOI 10.1016/j.actatropica.2007.09.009, PII S0001706X07002343
    • M. Vazeille, C. Jeannin, E. Martin, F. Schaffner and A. B. Failloux, Chikungunya: A risk for Mediterranean countries, Acta Tropica, 105 (2008), 200-202. (Pubitemid 351146644)
    • (2008) Acta Tropica , vol.105 , Issue.2 , pp. 200-202
    • Vazeille, M.1    Jeannin, C.2    Martin, E.3    Schaffner, F.4    Failloux, A.-B.5
  • 47
    • 84872093729 scopus 로고    scopus 로고
    • World-Health-Organization revised may 2008, Geneva, World Health Organization
    • World-Health-Organization, Dengue and severe dengue, factsheet no. 117, revised may 2008, Geneva, World Health Organization, 2008. Available from: http://www.who.int/ mediacentre/factsheets/fs117/en/.
    • (2008) Dengue and Severe Dengue, Factsheet , Issue.117
  • 48
    • 40149088447 scopus 로고    scopus 로고
    • Assessing the effects of vector control on dengue transmission
    • H. M. Yangand C. P. Ferreira, Assessing the effects of vector control on dengue transmission, Applied Mathematics and Computation, 198 (2008), 401-413.
    • (2008) Applied Mathematics and Computation , vol.198 , pp. 401-413
    • Yangand, H.M.1    Ferreira, P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.