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Simulations and parameter estimation of a trap-insect model using a finite element approach

Abstract : Estimating pest population size is of utmost importance in biological control. However field experiments can be difficult and expensive to conduct, with no guarantee that useable results will be produced. In this context, the development of mathematical models and numerical tools is crucial to improve the field experiments by suggesting relevant data which can be used to estimate parameters related to the pest’s biology and to the traps (e.g. duration of the experiments, distance of the releases, etc.). Here we develop a trap-insect model (TIM), based on coupled partial differential equations. The model is studied theoretically and a finite element algorithm is developed and implemented. A protocol for parameter estimation is also proposed and tested, with various data. Among other results, we show that entomological knowledge is absolutely necessary for efficient estimation of parameters, in particular population size.
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https://hal.umontpellier.fr/hal-01851413
Contributeur : Yannick Brohard <>
Soumis le : mercredi 20 novembre 2019 - 11:55:42
Dernière modification le : vendredi 4 décembre 2020 - 06:50:02

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Roumen Anguelov, Claire Dufourd, Yves Dumont. Simulations and parameter estimation of a trap-insect model using a finite element approach. Mathematics and Computers in Simulation, Elsevier, 2017, 133, pp.47 - 75. ⟨10.1016/j.matcom.2015.06.014⟩. ⟨hal-01851413⟩

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