3.3 Validation

Course subject(s) 3. Extending the model

We have worked with the system of two differential equations for the rainbowfish and gouramis.

You have learned in

§

3.1 how to approximate solutions numerically with Euler’s method. In this section, we have used analytical methods to characterize the solutions beforehand. First the equilibrium points

(P_{0}, G_{0})

were calculated:

Then the differential equations were linearised around the three equilibrium points:

By calculating the eigenvalues of the three matrices, the types of the three equilibrium points were determined. In the following exercises, you are going to review whether these analytical calculations were usefull.

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