Case (iii)  If  [Graphics:Images/HarvestingModelMod_gr_286.gif] there are no stationary solutions.

Example 16.  Solve the population model with harvesting  [Graphics:Images/HarvestingModelMod_gr_287.gif],  
using the constants  a = 3,  b = 3,  and  k = 3.

Solution 16.

[Graphics:../Images/HarvestingModelMod_gr_288.gif]


[Graphics:../Images/HarvestingModelMod_gr_289.gif]

Construct the general solution.

[Graphics:../Images/HarvestingModelMod_gr_290.gif]



[Graphics:../Images/HarvestingModelMod_gr_291.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004