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Home Courses Mathematical Modeling Basics Course materials Readings 3.1 Interaction Problem

3.1 Interaction Problem

Course subject(s) 3. Extending the model

Rainbowfish and gouramis

In the second module, we modelled the population size of rainbowfish in an large aquarium using limited growth and harvesting.

In this section, we consider the following problem:

A client of the fish farm wants an aquarium containing both rainbowfish and gouramis. The client is advised that the particular kind of gouramis he wants, can get aggressive, and that they hunt and eat rainbowfish. The client is undounted and still wants this combination. He has a budget for 20 rainbowfish, 5 gouramis and an aquarium which has a maximum capacity for 100 rainbowfish. Is it possible to have both fish in the same aquarium without one of them going extinct?

On the next page, we will start with the construction of a mathematical model for the rainbowfish and gouramis.

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