Bulletin of Mathematical Biology

, Volume 67, Issue 3, pp 509–528

Mathematical models for the Aedes aegypti dispersal dynamics: Travelling waves by wing and wind

Authors

  • Lucy Tiemi Takahashi
    • Departamento de Matemática Aplicada-IMECCUniversidade Estadual de Campinas
  • Norberto Anibal Maidana
    • Departamento de Matemática Aplicada-IMECCUniversidade Estadual de Campinas
    • Departamento de Matemática Aplicada-IMECCUniversidade Estadual de Campinas
  • Petronio Pulino
    • Departamento de Matemática Aplicada-IMECCUniversidade Estadual de Campinas
  • Hyun Mo Yang
    • Departamento de Matemática Aplicada-IMECCUniversidade Estadual de Campinas
Article

DOI: 10.1016/j.bulm.2004.08.005

Cite this article as:
Takahashi, L.T., Maidana, N.A., Ferreira, W.C. et al. Bull. Math. Biol. (2005) 67: 509. doi:10.1016/j.bulm.2004.08.005

Abstract

Biological invasion is an important area of research in mathematical biology and more so if it concerns species which are vectors for diseases threatening the public health of large populations. That is certainly the case for Aedes aegypti and the dengue epidemics in South America. Without the prospect of an effective and cheap vaccine in the near future, any feasible public policy for controlling the dengue epidemics in tropical climates must necessarily include appropriate strategies for minimizing the mosquito population factor. The present paper discusses some mathematical models designed to describe A. aegypti’s vital and dispersal dynamics, aiming to highlight practical procedures for the minimization of its impact as a dengue vector. A continuous model including diffusion and advection shows the existence of a stable travelling wave in many situations and a numerical study relates the wavefront speed to a few crucial parameters. Strategies for invasion containment and its prediction based on measurable parameters are analysed.

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Copyright information

© Society for Mathematical Biology 2005