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QUESTION 3 For a certain population the growth rate is dependent on the size of the population. The population size is modelled by the equation: P = g(P) P, where g (P₁) ) = -0.01 P 2 +0.26 P. n+1 11 The equilibria E, E, and E. given in ascending order, are as follows: 1 OA. 0, 5.4174, 20.58257 OB. 0, 4.693376, 21.3066 O C. None OD.0, 6.4174, 15.58257

QUESTION 3 For a certain population the growth rate is dependent on the size of the population. The population size is modelled by the equation: P = g(P) P, where g (P₁) ) = -0.01 P 2 +0.26 P. n+1 11 The equilibria E, E, and E. given in ascending order, are as follows: 1 OA. 0, 5.4174, 20.58257 OB. 0, 4.693376, 21.3066 O C. None OD.0, 6.4174, 15.58257

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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3.2 (Based on Question 3 in the picture attached)

Using the first derivative method, the stability properties of E0, E1, and E2 , respectively, are as follows:

  A.

None
  B.

stable, unstable, stable
  C.

stable, unstable, unstable
  D.

unstable, stable, stable
QUESTION 3 For a certain population the growth rate is dependent on the size of the population. The population size is modelled by the equation: P = g(P) P where g (P) = -0.01 P -0.01 P = + 0.26 P n+1 The equilibria E, E, and E.. given in ascending order, are as follows. 1 2 A. 0, 5.4174, 20.58257 B. 0, 4.693376, 21.3066 C. None OD.0, 6.4174, 15.58257
Transcribed Image Text:QUESTION 3 For a certain population the growth rate is dependent on the size of the population. The population size is modelled by the equation: P = g(P) P where g (P) = -0.01 P -0.01 P = + 0.26 P n+1 The equilibria E, E, and E.. given in ascending order, are as follows. 1 2 A. 0, 5.4174, 20.58257 B. 0, 4.693376, 21.3066 C. None OD.0, 6.4174, 15.58257
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