Stabilization of an oscillating n-dimensional structured population model

Jonathan Rault 1 Jean-Luc Gouzé 1
1 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
Abstract : We consider a model of a predator with q size-classes feeding on one resource. The resource is also modelled by a logistic function. This model may have sustained oscillations in dimension (q+1) around an unstable equilibrium. A possible control consists in harvesting every class. We show that (under good assumptions) this model can be reduced to a two-dimensional predator-prey model having sustained oscillations. We design positive controls to suppress the oscillations and to stabilize the equilibrium of the reduced and full model.
Type de document :
Communication dans un congrès
20th Mediterranean Conference on Control & Automation (MED), 2012, Barcelona, Spain. IEEE, pp.372-377, 2012, 〈10.1109/MED.2012.6265666〉
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https://hal.inria.fr/hal-00848444
Contributeur : Jean-Luc Gouzé <>
Soumis le : vendredi 26 juillet 2013 - 10:32:44
Dernière modification le : mardi 29 mai 2018 - 12:50:54

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Jonathan Rault, Jean-Luc Gouzé. Stabilization of an oscillating n-dimensional structured population model. 20th Mediterranean Conference on Control & Automation (MED), 2012, Barcelona, Spain. IEEE, pp.372-377, 2012, 〈10.1109/MED.2012.6265666〉. 〈hal-00848444〉

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