Parameter identification in population models for insects using trap data
| Autor: | Christopher W. Weldon, Roumen Anguelov, Claire Dufourd, Yves Dumont |
|---|---|
| Přispěvatelé: | Department of Mathematics and Applied Mathematics [Pretoria], University of Pretoria [South Africa], University of Pretoria, Botanique et Modélisation de l'Architecture des Plantes et des Végétations (UMR AMAP), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Institut National de la Recherche Agronomique (INRA)-Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Institut de Recherche pour le Développement (IRD [France-Sud]), SIT feasibility program, Department of Mathematics and Applied Mathematics, Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Institut National de la Recherche Agronomique (INRA)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD [France-Sud]) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
0106 biological sciences
Advection-diffusion equation 01 natural sciences Population density Dynamique des populations Quantitative Biology::Populations and Evolution Physics::Atomic Physics lcsh:QH301-705.5 Mathematics education.field_of_study Partial differential equation U10 - Informatique mathématiques et statistiques Applied Mathematics Lâcher d'insectes stériles [SDE.BE.BP]Environmental Sciences/Biodiversity and Ecology/domain_sde.be.bp Trap interference lcsh:QA1-939 Piège Agricultural and Biological Sciences (miscellaneous) Population model Bactrocera Inverse problem Biological system Modèle mathématique Piégeage des animaux Parameter identification Population Trapping 010603 evolutionary biology Biochemistry Genetics and Molecular Biology (miscellaneous) Trap (computing) Control theory [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] population density education Condensed Matter::Quantum Gases Advection Lutte anti-insecte lcsh:Mathematics H10 - Ravageurs des plantes 010602 entomology lcsh:Biology (General) U30 - Méthodes de recherche Convection–diffusion equation |
| Zdroj: | BIOMATH BIOMATH, Biomath Forum, 2013, 2 (2), pp.1-10. ⟨10.11145/j.biomath.2013.12.061⟩ Biomath Biomath, Vol 2, Iss 2 (2013) |
| ISSN: | 1314-684X 1314-7218 |
| Popis: | International audience; Traps are used commonly to establish the presence and population density of pest insects. Deriving estimates of population density from trap data typically requires knowledge of the properties of the trap (e.g. active area, strength of attraction) as well as some properties of the population (e.g. diffusion rate). These parameters are seldom exactly known, and also tend to vary in time, (e.g. as a result of changing weather conditions, insect physiological condition). We propose using a set of traps in such a configuration that they have different rate of trapping the insects. The properties of the traps and the characteristics of the population, including its density, are simultaneously estimated from the insects captured in these traps. The basic model is an advection-diffusion equation where the traps are represented via suitable advection term defined on the active area of the trap. The values of the unknown parameters of the model are derived by solving an optimization problem. Numerical simulations demonstrate the accuracy and the robustness of this method of parameter identification. |
| Databáze: | OpenAIRE |
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