Logistic models, the carrying capacity

<p>Do we have to learn about that? I mean I have touched on it, but is it tested on this year's exam?</p>

<p>Carrying capacity is just when the derivative equals 0.</p>

<p>It was tested on FR Form B a few years ago. Therefore, it might be tested this year.</p>

<p>dy/dt = ky(1-y/L)</p>

<p>This is the logistic differential equation you should know, just in case.</p>

<p>L is the limit for y(infinity).</p>

<p>Carrying capacity is found by setting derivative equal to 0. You will get 2 answers. The larger one is the carrying capacity (limit as x or t–>infinity) and the other answer (usually 0) is the limit as x or t–>negative infinity.</p>

<p>These sometimes show up (find the carrying capacity) on a MC section without calculator. A trick that they play on you is to tell you the value when t=0, wanting you to add that to the limit as t–>infinity. You just need to remember that the limit as t–>infinity is the carrying capacity, regardless of the value of t(0).</p>