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On mathematical modelling of plant-insect interactions

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On Mathematical Modelling of Plant-Insect

Interactions

Yves Dumont

CIRAD, Umr AMAP, Montpellier, France yves.dumont@cirad.fr

Keywords: Plant-Insect Interactions, Virtual Plant, Mathematical Mod-elling, Predation, Mutualism, Simulations.

Plants and Insects are studied since decades, but, most of the time, separately. In Agronomy, plants are studied in order to improve crop yields while insects are studied in order to control their (negative or positive) impacts on crop yields. It is well known that plants and insects are always in interaction but, surprisingly, they are very few mathematical models of these interactions. For instance, in many biological pest control models, the plant compartment is not present, even if it is well known that plants have developed many defenses strategies against their predators that may change Pest control strategies....

Based on recent published works [1, 3] and ongoing projects, the aim of this talk is to present examples of Plant-Insect interactions and their mod-elling. We intend to show how mathematical models can help to understand how to improve yields, or control antagonistic and mutualistic interactions. Finally, I would like to show possible coupling between plants mock-ups, builded with AMAPstudio [2], and insects mathematical models.

References

[1] A. Lebon, L. Mailleret, Y. Dumont, and F. Grognard. Direct and

appar-ent compensation in plant-herbivore interactions, Ecological Modelling,

Online. http://dx.doi.org/10.1016/j.ecolmodel.2014.02.020 [2] Griffon S., de Coligny F. AMAPstudio: an Editing and Simulation

Soft-ware Suite for Plants Architecture Modelling. Ecological Modelling. On-line. http://dx.doi.org/10.1016/j.ecolmodel.2013.10.037

[3] A. Mathieu, Y. Dumont, F. Chiroleu, P-F. Duyck, O. Flores, G. Lebre-ton, B. Reynaud, S. Quilici. Predicting the altitudinal distribution of an

introduced phytophagous insect against an invasive alien plant from lab-oratory controlled experiments: case of Cibdela janthina (Hymenoptera : Argidae) and Rubus alceifolius (Rosaceae) in La R´eunion, BioControl.

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