Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 131, pp. 1-14.

Title: Continuous host-macroparasite models with application to aquaculture

Author: Catherine Bouloux Marquet (Univ. de Pau et des Pays de l'Adour, France)

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.