A model for a fish population is described by the DDS with Po = 980. a) Choose the correct method for finding the equilibrium values. Solve for Pin 2.94P 1+0.002P = P₁ Substitute O into the DDS equation O Substitute P, into the DDS equation Solve for Pin 2.94P 1+0.002 P P₁ 1020 1000 980 = 0 960 b) The non-zero equilibrium is given by Pc = 970. A graph of the sequences when the initial populations are Po=980 and Po=920, respectively, is given below. 2.94P-1 1+0.002P-1 940 920 900 880 1 2 3 4 5 6 7 8 9 1 Use the graph of the population sequences to determine the stability of the non-zero equilibrium value and give a reason for your answer. The non-zero equilibrium value P = 970 is are moving away from the equilibrium value from both sides. moving toward the equilibrium value from both sides. not negative. not always increasing. because the sequence values
A model for a fish population is described by the DDS with Po = 980. a) Choose the correct method for finding the equilibrium values. Solve for Pin 2.94P 1+0.002P = P₁ Substitute O into the DDS equation O Substitute P, into the DDS equation Solve for Pin 2.94P 1+0.002 P P₁ 1020 1000 980 = 0 960 b) The non-zero equilibrium is given by Pc = 970. A graph of the sequences when the initial populations are Po=980 and Po=920, respectively, is given below. 2.94P-1 1+0.002P-1 940 920 900 880 1 2 3 4 5 6 7 8 9 1 Use the graph of the population sequences to determine the stability of the non-zero equilibrium value and give a reason for your answer. The non-zero equilibrium value P = 970 is are moving away from the equilibrium value from both sides. moving toward the equilibrium value from both sides. not negative. not always increasing. because the sequence values
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A model for a fish population is described by the DDS
with Po = 980.
a) Choose the correct method for finding the equilibrium values.
Solve for Pin
O Substitute 0 into the DDS equation
O Substitute Po into the DDS equation
O Solve for Pein
1020-
1000
980
960
2.94P,
1+0.002 P
940
920
b) The non-zero equilibrium is given by P = 970. A graph of the sequences when the initial populations
are P₁ = 980 and Po= 920, respectively, is given below.
900
.880
2.94P₂
1+0.002 Pe
P₁ =
= Pe
= 0
2.94P-1
1+0.002P-1
1 2 3 4 5 6 7 8 8 9 1
not negative.
O not always increasing.
Use the graph of the population sequences to determine the stability of the non-zero equilibrium value and
give a reason for your answer.
The non-zero equilibrium value P₂ = 970 is
are
moving away from the equilibrium value from both sides.
O moving toward the equilibrium value from both sides.
because the sequence values
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