EDP : Rafael Ordonez (Univ. Concepcion, Chili) : Numerical analysis of a three-especies chemotaxis model

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EDP : Rafael Ordonez (Univ. Concepcion, Chili) : Numerical analysis of a three-especies chemotaxis model

12 décembre 2019 / 14:00 - 15:00

A reaction-diffusion system is formulated to describe three interacting species within the Hastings-Powell (HP) food chain structure with chemotaxis produced by three chemicals. We construct a finite volume (FV) scheme for this system, and in combination with the non-negativity and the a priori estimate, the existence of a discrete solution of the FV scheme is proven. It is shown that the scheme converges to the corresponding weak solution of the model. The convergence proof uses two ingredients of interest for various applications, namely the discrete Sobolev embedding inequalities with general boundary conditions and a space-time L1 compactness argument. Finally, numerical tests illustrate the model and the behavior of the FV scheme.

Joint work with Raimund Bürger, Mauricio Sepulveda, and Luis Villada.

EDP : Rafael Ordonez (Univ. Concepcion, Chili) : Numerical analysis of a three-especies chemotaxis model

Détails

Date :
12 décembre 2019
Heure :
14:00 - 15:00
Catégorie d’évènement:

Lieu

Bâtiment Sophie Germain, salle G210

Organisateurs

Tahar Boulezaoud
Pierre Gabriel
Vahagn Nersesyan