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Finite element approach to trap-insect model

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Finite Element Approach to Trap-Insect Model

CC Dufourd

1

, R Anguelov

1

and Y Dumont

2

1

Department of Mathematics and Applied Mathematics,

University of Pretoria

2

CIRAD, Umr AMAP, Montpellier, France

claire.dufourd@gmail.com, roumen.anguelov@up.ac.za,

yves.dumont@cirad.fr

Topic: Partial differential equations, modelling, associated numerical analysis

The trap-insect model considered in this presentation comprises a sys-tem of two advection-diffusion-reaction equations. We develop finite element approximation of the solution of the model in order to produce accurate nu-merical simulations using a non-uniform triangulation. The algorithm is used for computing estimates of the parameters of the insect population. Partic-ular attention is paid to estimating the population size, including the case of spatially heterogeneous population distributions. Using traps is the common practice to gain knowledge on the presence of a particular insect population and its density. This work aims to contribute to optimizing field protocols for accurate parameters estimation.

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