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Article Dans Une Revue Networks and Heterogeneous Media Année : 2010

Mathematical and numerical analysis for Predator-prey system in a polluted environment

Veronica Anaya
  • Fonction : Auteur
Mauricio Sepúlveda

Résumé

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.
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Dates et versions

hal-01015864 , version 1 (27-06-2014)

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Mostafa Bendahmane, Veronica Anaya, Mauricio Sepúlveda. Mathematical and numerical analysis for Predator-prey system in a polluted environment. Networks and Heterogeneous Media, 2010, 5 (4), pp.813 - 847. ⟨10.3934/nhm.2010.5.813⟩. ⟨hal-01015864⟩
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