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Verónica Anaya (University of Murcia)
| Speaker: |
Verónica Anaya
(University of Murcia)
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| Date: |
Friday November 20, 2009
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| Title: |
Mathematical and
numerical analysis for a Predator-prey system in a polluted environment
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Abstract
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In
the present work, 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 Lp compactness criterion. Finally, we
give some numerical simulations.
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