Case
(ii) If
there are two stationary solutions
and
.
Example 9. Solve the
population model with harvesting
,
using the constants a =
4, b =
1, and k =
3, and explore this situation.
Solution 9.
Construct the general solution.
Construct the constant solutions.
![[Graphics:../Images/HarvestingModelMod_gr_177.gif]](../Images/HarvestingModelMod_gr_177.gif)
Find
.
![[Graphics:../Images/HarvestingModelMod_gr_180.gif]](../Images/HarvestingModelMod_gr_180.gif)
Remark. Notice
that
tends
to the second constant function
as
.
It will take more investigation to see what is
happening.
(c) John H. Mathews 2004