Electron. J. Diff. Eqns., Vol. 2004(2004), No. 131, pp. 1-14.

Continuous host-macroparasite models with application to aquaculture

Catherine Bouloux Marquet

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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