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Consortium for Mathematics and its Applications

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Resource Type: Contest Problem
Primary Level: Undergraduate

The Animal Population Problem

Author: COMAP


Background:

Choose a fish or mammal for which appropriate data are available to model it accurately. Model the animal's natural interactions with its environment by expressing population levels of different groups in terms of the significant parameters of the environment. Then adjust the model to account for harvesting in a form consistent with the actual method by which the animal is harvested. Include any outside constraints imposed by food or space limitations that are supported by the data. Consider the value of the various quantities involved, the number harvested, and the population size itself, in order to devise a numerical quantity that represents the overall value of the harvest. Find a harvesting policy in terms of population size and time that optimizes the value of the harvest over a long period of time. Check that the policy optimizes this value over a realistic range of environmental conditions.

Problem Download

©1985 by COMAP, Inc.
MCM Problem
Commentary: No | Student Papers: Yes (1)

Mathematics Topics:

Math Modeling

Application Areas:

Contest Preparation

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