Refining and Optimizing Analytical Models
This section gives an example of how the model developed earlier could be extended to account for additional knowledge of the system's structure. Again, if you have not yet been exposed to this particular type of mathematical analysis, simply note that all models can be refined as we gain more knowledge about the system. Think back to the model you identified in the last section. How could you extend this model to make it a better reflection of reality?
Interaction (Euler's method for Systems)
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.
Source: Marleen Keijzer, Dennis den Ouden-vander Horst, and Kees Vuik, https://ocw.tudelft.nl/courses/mathematical-modeling-basics/
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