Actas de congresos
Controlling Dispersal Dynamics Of Aedes Aegypti
Registro en:
Mathematical Population Studies. , v. 13, n. 4, p. 215 - 236, 2006.
8898480
10.1080/08898480600950515
2-s2.0-33749262350
Autor
Ferreira C.P.
Pulino P.
Yang H.M.
Takahashi L.T.
Institución
Resumen
The dengue virus is transmitted in regions previously infested with the mosquito Aedes aegypti. To assess the spreading and establishment of the dengue disease vector, a mathematical model is developed that takes into account the diffusion and advection phenomena. A discrete model based on the cellular automata approach, which is a good framework to deal with small populations, is also developed to be compared with the continuouos modeling. 13 4 215 236 Boccara, N., Roblin, O., Roger, M., Automata network predator-prey model with pursuit and evasion (1994) Phys. Rev. E, 50, pp. 4531-4541 Hiebeler, D., Stochastic spatial models: From simulations to mean field and local structure approximations (1997) J. Theor. Biol., 187, pp. 307-319. , [CROSSREF] Johnson, C., (1987) Numerical Solution of Partial Differential Equations By the Finite Element Method, , Cambridge: Cambridge University Press Monath, T.P., (1988) Arboviruses: Epidemiology and Ecology, , Boca Raton (Florida): CRC Press Newton, E.A.C., Reiter, P., A model of the transmission of dengue fever with evaluation on the impact of ultra-low volume (ulv) insecticide applications on dengue epidemics (1992) Am. J. Trop. Med. Hyg., 47 (6), pp. 709-720. , [INFOTRIEVE][CSA] Quarteroni, A., (2000) Modellistica Numerica Per Problemi Differenziali, , Berlin: Springer Verlag Takahashi, L.T., Maidana, M.A., Ferreira Jr., W.C., Pulino, P., Yang, H.M., Mathematical models for the Aedes aegypti dispersal dynamics: Travelling waves by wing and wind (2005) Bull. Math. Biol., 67, pp. 509-528. , [CSA][CROSSREF] Toffoli, T., Margolus, N., (1987) Cellular Automata Machines: A New Environmental for Modeling, , Cambridge: MIT Press Trefethen, L.N., (1997) Numerical Linear Algebra, , Philadelphia: SIAM Veronesi, R., (1991) Doenças Infecciosas E Parasitárias, , (8th Edition). Rio de Janeiro: Guanabara Koogan Warren, K.S., Mahmoud, A.A.F., (1990) Tropical and Geographical Medicine, , (2nd Edition). New York: McGraw-Hill Weisser, W.W., Jansen, C.A.A., Hassell, M.P., The effects of a pool of dispersers on host-parasitoid systems (1997) J. Theor. Biol., 189, pp. 413-425. , [CSA][CROSSREF] Yang, H.M., Epidemiologia da Transmissão da Dengue (2003) Tema -Tend. Mat. Apl. Comput., 4 (3), pp. 387-396. , [INFOTRIEVE][CSA] Grant FAPESP (Polticas Pblicas e Temtico) and CNPq (Edital Universal 01/ 02)Fellowship FAPESPFellowship CNPq