The solution that comes to mind isn't very satisfying, but it works. I've added an IF statement to the growth rate, such that if the A > a, the growth rate is positive, and if A < a, the growth rate is negative. The first image shows the model still works when the Ao > a; the second image shows the stable equilibrium at zero if the Ao < a.

1. Consider a population of wizzles, which unlike woozles can multiply only when their numbers are larger than a certain minimal valuea. If there are less byukies thana, they cannot find a partner for mating and the population dies off. The carrying capacity of the island where wizzles live is alsoA. ObviouslyA > a. What model would describe the population dynamics of wizzles on this island?

2. What are the equilibria in the byukies model? Are they stable?

## Tuesday, September 27, 2011

### Exercise 2.3 - Wizzles and Woozles

This is exercise 3.3 from the text, which is 2.2 online, and 2.3 in my nomenclature.

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