A population grows according to the logistic growth model, with growth parameter r= 1.8. Starting with an initial population given by po = 0.6, complete parts (a) and (b). C (a) Find the values of p, through P10- P1 = P3 = P4= P5= 4 P6= P7 = P8 = Pg= P10= (Round to four decimal places as needed.) (b) What does the logistic model predict in the long term for this population? O A. The population settles into a two-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17% and 44.43%. OB. It stabilizes at about 44.44% of the habitat's carrying capacity. OC. The species will become extinct. O D. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17%, 44.43%, 43.20%, 44.44%.
A population grows according to the logistic growth model, with growth parameter r= 1.8. Starting with an initial population given by po = 0.6, complete parts (a) and (b). C (a) Find the values of p, through P10- P1 = P3 = P4= P5= 4 P6= P7 = P8 = Pg= P10= (Round to four decimal places as needed.) (b) What does the logistic model predict in the long term for this population? O A. The population settles into a two-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17% and 44.43%. OB. It stabilizes at about 44.44% of the habitat's carrying capacity. OC. The species will become extinct. O D. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17%, 44.43%, 43.20%, 44.44%.
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 population grows according to the logistic growth model, with growth parameter r= 1.8. Starting with an initial population given by P = 0.6, complete parts (a) and (b).
(a) Find the values of p₁ through P10-
P₁ = ₁
P₂ =
P3 =
P4 =
P5
P10 =
P6=
P7 = ₁
P8 =
Pg = ₁
(Round to four decimal places as needed.)
(b) What does the logistic model predict in the long term for this population?
O A. The population settles into a two-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17% and 44.43%.
OB. It stabilizes at about 44.44% of the habitat's carrying capacity.
C. The species will become extinct.
OD. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17%, 44.43%, 43.20%, 44.44%.
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