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Mathematical and numerical analysis for Predator-prey system in a polluted environment
Langue
en
Article de revue
Ce document a été publié dans
Networks and Heterogeneous Media. 2010, vol. 5, n° 4, p. 813 - 847
American Institute of Mathematical Sciences
Résumé en anglais
In this paper, we prove existence results for a Predator-prey system in a polluted environment. The existence result is proved by the Schauder fixed-point theorem. Moreover, we construct a combined finite volume - finite ...Lire la suite >
In this paper, we prove existence results for a Predator-prey system in a polluted environment. The existence result is proved by the Schauder fixed-point theorem. Moreover, we construct a combined finite volume - finite element scheme to our model, we establish existence of discrete solutions to this scheme, and show that it converges to a weak solution. The convergence proof is based on deriving series of a priori estimates and using a general L^p compactness criterion. Finally we give some numerical examples.< Réduire
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