Parameter identification in population models for insects using trap data

Show simple item record Dufourd, Claire Weldon, Christopher William Anguelov, Roumen Dumont, Yves 2014-05-28T05:48:58Z 2014-05-28T05:48:58Z 2013
dc.description.abstract 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 trap insects at different rates. 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 a suitable advection term defined by the active area of the traps. 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. en_US
dc.description.librarian am2014 en_US
dc.description.sponsorship “SIT feasibility program” in Reunion, jointly funded by the French Ministry of Health and the European Regional Development Fund (ERDF). en_US
dc.description.uri en_US
dc.identifier.citation Dufourd, C, Weldon, C, Anguelov, R & Dumont, Y 2013, 'Parameter identification in population models for insects using trap data', Biomath, vol. 2, art. 1312061, pp. 1-10. en_US
dc.identifier.issn 1314-7218 (print)
dc.identifier.issn 1314-684X (online)
dc.identifier.other 10.11145/j.biomath.2013.12.061
dc.language.iso en en_US
dc.rights This work is licensed under a Creative Commons Attribution 3.0 License. en_US
dc.subject Partial differential equation en_US
dc.subject Advection diffusion en_US
dc.subject Equation en_US
dc.subject Parameter identification en_US
dc.subject Inverse problem en_US
dc.subject Trap interference en_US
dc.subject Population density en_US
dc.title Parameter identification in population models for insects using trap data en_US
dc.type Article en_US

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