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)A graph of the sequences when the initial populations are Po = 710 and Po = 670, respectively, is iven below. 760+ 740 720 700- 680- 660 640- 620- 1 2 3 4 5 6 7 8 9 10

)A graph of the sequences when the initial populations are Po = 710 and Po = 670, respectively, is iven below. 760+ 740 720 700- 680- 660 640- 620- 1 2 3 4 5 6 7 8 9 10

Advanced Engineering Mathematics
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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A Beverton-Holt model for a fish population is described by the DDS 3.07P, Pn+1 1+ 0.003P. with P = 710. a) Which of the following statements is true for this DDS? The DDS is O nonlinear and the equation is recursive. O linear and the equation is recursive. O linear and the equation is the explicit solution. O nonlinear and the equation is the explicit solution. b) Choose the correct method for finding the equilibrium values. Substitute Po into the DDS equation 3.07P. = P. 1+ 0.003P. Solve for Pe in O Substitute 0 into the DDS equation 3.07P. OSolve for Pe in T+ 0.003Pe c) A graph of the sequences when the initial populations are P = 710 and Po = 670, respectively, is given below. 760 + 740 720- 700- 680 660 640 -1 620 1 2 3 4 5 6 7 8 9 10 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. = 690 is Select an answer v because the sequence values are O not always increasing. O moving toward the equilibrium value from both sides. O moving away from the equilibrium value from both sides. O not negative.
Transcribed Image Text:A Beverton-Holt model for a fish population is described by the DDS 3.07P, Pn+1 1+ 0.003P. with P = 710. a) Which of the following statements is true for this DDS? The DDS is O nonlinear and the equation is recursive. O linear and the equation is recursive. O linear and the equation is the explicit solution. O nonlinear and the equation is the explicit solution. b) Choose the correct method for finding the equilibrium values. Substitute Po into the DDS equation 3.07P. = P. 1+ 0.003P. Solve for Pe in O Substitute 0 into the DDS equation 3.07P. OSolve for Pe in T+ 0.003Pe c) A graph of the sequences when the initial populations are P = 710 and Po = 670, respectively, is given below. 760 + 740 720- 700- 680 660 640 -1 620 1 2 3 4 5 6 7 8 9 10 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. = 690 is Select an answer v because the sequence values are O not always increasing. O moving toward the equilibrium value from both sides. O moving away from the equilibrium value from both sides. O not negative.
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