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Just a friendly reminder about the JC at 3:35 today, Ayres Hall fourth floor.... SPEAKER: Professor Suzanne Lenhart TITLE: "Optimal Harvesting in Fishery Models" ABSTRACT: We discuss two types of partial differential equation models of fishery harvesting problems. We consider steady state spatial models and diffusive spatial-temporal models. We characterize the distribution of harvest effort which maximizes the harvest yield, and in the steady state case, also minimizes the cost of the effort. We show numerical results to illustrate various cases. The results inform ongoing debate about the use of reserves (regions where fishing is not allowed), and are increasingly relevant as technology enables enforcement of spatially structured harvest constraints. Conrad Plaut Professor, Director of UT Math Honors Math Department Ayres Hall 224C University of Tennessee Knoxville, TN 37996-0612 Phone: 865-974-4319 http://web.utk.edu/~cplaut