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Question: modeling and calculation

Question:modeling and calculation

kim yy 10 Maple 15
differential-equation homework
September 21 2013
1

1.

   Suppose thT the population y(t) of a certain kind of fish is given by (D(y))(t) = Ay(t)-By(t)^2, and fish are caught at a rate Hy proportional to y.Solve this so-called schaefer model. Find the euilibrium solutions y1,y2(>0) when H

2.< Intermittent harvesting>

 In 1. assume that you fish for 3 years, then fishing is banned for the next 3 years. Thereafter you start again. And so on. This is called intermittent harvesting. Describe qualitatively how the population will develop if intermitting is continued periodically. Find and graph the solution for the first 9 years, assuming that A=B=1,H=0.2,y(0)=2.

 

I want you to solve this problem with first-order odes(bernoulli equation)

Thank you ♥
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