Integrodifference model for blowfly invasion

Coutinho, Renato Mendes [UNESP]; Conde Godoy, Wesley Augusto; Kraenkel, Roberto André [UNESP]

Integrodifference model for blowfly invasion

Data

2012-08-01

Autores

Coutinho, Renato Mendes

Conde Godoy, Wesley Augusto

Kraenkel, Roberto André

Editor

Springer Heidelberg

Tipo

Artigo

Direito de acesso

Acesso restrito

Resumo

We propose a stage-structured integrodifference model for blowflies' growth and dispersion taking into account the density dependence of fertility and survival rates and the non-overlap of generations. We assume a discrete-time, stage-structured, model. The spatial dynamics is introduced by means of a redistribution kernel. We treat one and two dimensional cases, the latter on the semi-plane, with a reflexive boundary. We analytically show that the upper bound for the invasion front speed is the same as in the one-dimensional case. Using laboratory data for fertility and survival parameters and dispersal data of a single generation from a capture-recapture experiment in South Africa, we obtain an estimate for the velocity of invasion of blowflies of the species Chrysomya albiceps. This model predicts a speed of invasion which was compared to actual observational data for the invasion of the focal species in the Neotropics. Good agreement was found between model and observations.