Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus

Alphey L, Benedict M, Bellini R, Clark GG, Dame DA, Service MW, Dobson SL (2010) Sterile-insect methods for control of mosquito-borne diseases: an analysis. Vector Borne Zoonotic Dis 10(3): 295–311

Anguelov R, Dumont Y, Lubuma JM-S, Shillor M (2009a) Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model. In: Simos T, Psihoyios G, Tsitouras Ch (eds) Proceedings of the International Conference of Numerical Analysis and Applied Mathematics, Crete, Greece, 18–22 September 2009. American Institute of Physics Conference Proceedings-AIP 1168, vol 2, pp 1213–1216

Anguelov R, Dumont Y, Lubuma J.M-S, Shillor M. (2009b) Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model, In: Simos T, Psihoyios G, Tsitouras Ch (eds) Proceedings of the International Conference of Numerical Analysis and Applied Mathematics, Crete, Greece, 18–22 September 2009. American Institute of Physics Conference Proceedings-AIP 1168, vol 2, pp 1209–1212

Anguelov R, Dumont Y, Lubuma JM-S, Mureithi E (2011a) Stability analysis and dynamics preserving non-standard finite difference schemes for a malaria model. Math Popul Stud (to appear)

Anguelov R, Dumont Y, Lubuma JM-S, Shillor M (2011b) Dynamically consistent nonstandard finite difference schemes for epidemiological models (submitted)

Anguelov R, Dumont Y, Lubuma JM-S (2011c) Mathematical Modeling of Sterile Insect Technique for Control of Anopheles Mosquito (submitted)

Bacaer N (2007) Approximation of the basic reproduction number R 0 for vector-borne diseases with a periodic vector population. Bull Math Biol 69: 1067–1091

Bellini R, Calvitti M, Medici A, Carrieri M, Celli G, Maini S (2007) Use of the sterile insect technique against Aedes albopictus in Italy: first results of a pilot trial. In: Vreysen MJB, Robinson AS, Hendrichs J Area-wide control of insect pests: from research to field implementation. Springer, Dordrecht pp 505–515

Boyer S, Dehecq JS, Fontenille D, Lemperiere G, Dumont Y (2011a) Estimating the size of Aedes albopictus population in La Reunion Island (submitted)

Boyer S, Jeremie G, Mérancienne G, Lemperiere D, Fontenille D (2011b) Sexual performance of male mosquito Aedes albopictus. Med Vet Entomol. doi: 10.1111/j.1365-2915.2011.00962.x

Delatte H, Gimonneau G, Triboire A, Fontenille D (2009) Influence of temperature on immature development, survival, longevity, fecundity and gonotrophic cycles of Aedes albopictus(Skuse), vector of Chikungunya and dengue in the Indian Ocean. J Med Entomol 46: 33–41

Delatte H, Paupy C, Dehecq JS, Thiria J, Failloux AB, Fontenille D (2008a) Aedes albopictus, vector of Chikungunya and dengue viruses in Réunion Island: biology and control. Parasite 15(1): 3–13

Delatte H., Dehecq JS, Thiria J, Domerg C, Paupy C, Fontenille D (2008b) Geographic distribution and developmental sites of Aedes albopictus (Diptera: Culicidae) during a Chikungunya epidemic event. Vector Borne Zoonotic Dis 8: 25–34

Dubrulle M, Mousson L, Moutailler S, Vazeille M, Failloux A-B (2009) Chikungunya virus and Aedes mosquitoes: Saliva is infectious as soon as two days after oral infection. PLoS One 4(6)

Dufourd C, Dumont Y (2011) Spatio-temporal modeling of mosquito distribution. AMITANS 2011. In: Application of mathematics in technical and natural sciences: Proceedings of the 3rd International Conference, Albena, Bulgaria, 20–25 June 2011. American Institute of Physics Conference Proceedings-AIP (to appear)

Dumont Y (2011) Modeling Mosquito distribution. Impact of the Vegetation. ICNAAM 2011. In: Simos T, Psihoyios G, Tsitouras Ch, Anastassi Z (eds) Proceedings of the International Conference of Numerical Analysis and Applied Mathematics, Haldiki, Greece, 19–25 September 2011. American Institute of Physics Conference Proceedings-AIP 1389, vol B, pp 1244–1247

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Dumont Y, Lubuma JM-S (2007) Non-standard finite difference schemes for multi-dimensional second-order systems in nonsmooth mechanics. Math Methods Appl Sci 30: 789–825

Dumont Y, Chiroleu F, Domerg C (2008) On a temporal model for the Chikungunya disease: modeling, theory and numerics. Math Biosci 213: 70–81. doi: 10.1016/j.mbs.2008.02.008

Dumont Y, Chiroleu F (2010) Vector control for the Chikungunya disease. Math Biosc Eng 7(2): 315–348. doi: 10.3934/mbe.2010.7.313

Esteva L (2005) Mathematical model to asses the control of Aedes Aegypti mosquitoes by the sterile insect technique. Math Biosci 198: 132–147

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Moulay D, Aziz Alaoui MA, Cadivel M (2011) The Chikungunya disease: modeling, vector and transmission global dynamics. Math Biosci 229(1): 50–63

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Thomé RCA, Yang HM, Esteva L (2010) Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide. Math Biosci 223(1): 12–23. doi: 10.1016/j.mbs.2009.08.009

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Vazeille M, Mousson L, Failloux AB (2009) Failure to demonstrate experimental vertical transmission of the epidemic strain of Chikungunya virus in Aedes albopictus from La Réunion Island, Indian Ocean. Mem. Inst. Oswaldo Cruz, Rio de Janeiro 104(4): 632–635

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White SM, Rohani P, Sait SM (2010) Modelling pulsed releases for sterile insect techniques: fitness costs of sterile and transgenic males and the effects on mosquito dynamics. J Appl Ecol 47(6): 1329–1339. doi: 10.1111/j.1365-2664.2010.01880.x