Question 5

The logistic growth with harvesting model for a population y(t) at time t is given by

y' (t) = a∙y(t) (max-y(t)) - H

Here Ymax is the maximum sustainable population of the environment, a is a constant and H is a

constant harvesting rate. For Ymax=8000, a=0.0001, and H= 1000, using the DEplot command.

graph y(t) for 0 ≤ t ≤ 10 for the initial values y(0) in 1000, 4000, 8000 and 10000.

Now determine populations y for which y' = 0, i.e., find the initial polulations for which there is no

growth or decline. You should get two. Graph these on the same graph - you should get two straight

lines.