Mathematical Modeling of Asian Carp Invasion in the Upper Mississippi River System
Hyunju Oh

Abstract
In our research we constructed two mathematical models, a competition model and a Lolka-Volterra model, with Asian Carp and native fish in the Upper Mississippi River System and the Great Lakes. The Asian Carp now threatens the Upper Mississippi River and the Great Lakes since they were imported from China in the 1970s to improve water quality of aquaculture and to control aquatic vegetation ponds. The goal of our research was to gain a better understanding of the interaction between Asian Carp and native species using mathematical model. In order to construct our research we used data from the Upper Midwest Environmental Science Center and then used numerical method with Maple to solve the system of partial differential equations which cannot be solved exactly. From our research we were able to find equilibriums which determine the behavior of the model such as coexistence or competition exclusion.

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