Mathematical Modeling of a Host-parasite System in Marine Environment
نویسنده
چکیده
We present a model for a host-parasite system in which parasites affect the economy of fish farming. The fish is sea-bass, Dicentrarchus labrax, and the parasite is a helminthic ectoparasite, Diplectanum aequans, which adheres to the branchiae of the host and, when present in sufficient number, kill it by suffocation. The improved model incorporates two important features observed in the fish farming industry, namely differential recruitment of parasites and the lethal threshold phenomenon just described. Aside from these features already present in previous models, random events for heavy recruitment of parasites are described and incorporated. (1) Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067, U.S.A. This material is based upon work supported by the National Science Foundation under Grant INT-9415775.
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