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

Anguelov Roumen, Dufourd Claire, Dumont Yves. 2017. Simulations and parameter estimation of a trap-insect model using a finite element approach. Mathematics and Computers in Simulation, 133 : 47-75.

https://doi.org/10.1016/j.matcom.2015.06.014

Article de revue ; Article de recherche ; Article de revue à facteur d'impact

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Quartile : Q1, Sujet : MATHEMATICS, APPLIED / Quartile : Q2, Sujet : COMPUTER SCIENCE, SOFTWARE ENGINEERING / Quartile : Q3, Sujet : COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Résumé : 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.

Mots-clés Agrovoc : modèle mathématique, modèle de simulation, lutte biologique, développement biologique

Mots-clés libres : Partial differential equations, Chemotaxis, Finite element method, Parameter estimation, Insect trapping

Classification Agris : H10 - Ravageurs des plantes
U10 - Informatique, mathématiques et statistiques

Champ stratégique Cirad : Axe 4 (2014-2018) - Santé des animaux et des plantes

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