Second Example

Lets consider now a second example but using different values for the parameters a and s.

Use the values, a = 0.06 and s = 0.02 . You can copy the very first input cell at the start of Example 1 and then make the adequate changes for the values of a and s.
Then plot the solutions using initial populations of of 100, 200, 300, 400 and 500 individuals. Do this like in Example 1.

Affter doing so complete the following questions.

Questions

You should be "convinced" that the population will tend to a certain value, in time, regardless of the initial size of the population. This value is refered to as the carrying capacity of the population.

1) What is that value? What does it appear to be from the graphs.

2) Is there any relationship between the carrying capacity and the values of a and s in the model that you can notice?

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