Laboratoire de Mathématiques Appliquées
Université de Pau et des Pays de l'Adour
IPRA BP 1155, 64013 PAU, France
tel:(+) 33 (0)5 59 40 75 56, fax:(+) 33 (0)5 40 75 55
email: catherine.marquet@univ-pau.fr
Catherine Bouloux Marquet
Abstract:
We study a continuous deterministic host-macroparasite system
which involves populations of hosts, parasites, and larvae.
This system leads to a countable number of partial differential
equations that under certain hypotheses, is reduced to finitely
many equations. Also we assume hypotheses to close the system
and to define the global dynamics for the hosts.
Then, we analyze the spatially homogeneous model without
demography (aquaculture hypothesis), and show some preliminary
results for the spatially structured model.
Submitted April 8, 2004. Published November 16, 2004.
Math Subject Classifications: 35K57, 92D25, 35B35.
Key Words: Modelling; host-macroparasite system; differential equations;
continuous deterministic models.
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Catherine Bouloux Marquet Laboratoire de Mathématiques Appliquées Université de Pau et des Pays de l'Adour IPRA BP 1155, 64013 PAU, France tel:(+) 33 (0)5 59 40 75 56, fax:(+) 33 (0)5 40 75 55 email: catherine.marquet@univ-pau.fr |
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