Geodesic
Continuous host-macroparasite models with application to aquaculture
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification : 35K57, 92D25, 35B35
Keywords: modelling, host-macroparasite system, differential equations, continuous deterministic models 
@article{EJDE_2004__2004__a173,
     author = {Marquet,  Catherine Bouloux},
     title = {Continuous host-macroparasite models with application to aquaculture},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1072.35543},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a173/}
}
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%A Marquet,  Catherine Bouloux
%T Continuous host-macroparasite models with application to aquaculture
%J Electronic journal of differential equations
%D 2004
%V 2004
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a173/
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%F EJDE_2004__2004__a173
Marquet,  Catherine Bouloux. Continuous host-macroparasite models with application to aquaculture. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a173/