Consider the harvest population model N+1 = 1.5N,(1 N) - hN. e rnd the equilibrium population as a function of h. What is the largest h consis- tent with a nonnegative equilibrium? Tet N be equilibrium, N=1.5N -N* )-nN O N-1.SN# (1-N*)+nN* =0 N* [I-1 SU-N)+n] =0 Nオ=0 or N*II-1SCI-N*n]=0 (b) Find the equilibrium harvest as a function of h. P(n) - hN* I+h h (1-) 1.5 h+h? 1.5 (c) Find the harvesting effort that maximizes the harvest. POS)= 0.5(1-) -0 d) Find the equilibria for this harvesting effort. For each, determine if stable or unstable.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
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(Resubmission by request) need help with only part D of this problem. The previous parts should help figure out that part. Thanks!
![(a) Find the equilibrium population as a function of h. What is the largest h consis-
N* = 1.5 N - N* )-h N*
N-1.SN* (1-N*)+hN* = 0
020
12. Consider the harvest population model
N41 =
1.5N (1 Nt) - hN.
a the equilibrium population as a function of h. What is the largest h consis-
tent with a nonnegative equilibrium?
Tet N be equilibrium
ON-1.SN CI-N*)+hN* = 0
N* [I-1 S-N*)+n] =0
or N*LI-1SC1-N*n] =0
%3D
(b) Find the equilibrium harvest as a function of h.
P(n)=hN*
Ith
%3D
=h (1-)
1.5
1.5
(c) Find the harvesting effort that maximizes the harvest.
%3D
1.5
PO S) = 0.S(1-)
(d) Find the equilibria for this harvesting effort. For each, determine if stable or
unstable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fda8257-32e2-4685-ad4f-320e3e6c6af2%2F08b3338b-149b-4abd-8705-b1aae1001713%2Fig4h48s_processed.jpeg&w=3840&q=75)
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