(b) Find all equilibria of g(p) = 0.5p(1- p) - 1.2p that are in [0, 1]. Use your graph in (a) to determine their stability. O A. The stable equilibria are p= and the unstable equilibria are p= (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The unstable equilibria are p = (Type an integer or a decimal. Use a comma to separate answers as needed.) O C. The stable equilibria are p= There are no stable equilibria. . There are no unstable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O D. There are no equilibria.
(b) Find all equilibria of g(p) = 0.5p(1- p) - 1.2p that are in [0, 1]. Use your graph in (a) to determine their stability. O A. The stable equilibria are p= and the unstable equilibria are p= (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The unstable equilibria are p = (Type an integer or a decimal. Use a comma to separate answers as needed.) O C. The stable equilibria are p= There are no stable equilibria. . There are no unstable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O D. There are no equilibria.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Topic Video
Question
8.2-1b)
![Denote by p= p(t) the fraction of occupied sites in the patchy habitat model, and assume that
= 0.5p(1- p) - 1.2p for t2 0. Complete parts (a) through (c).
(a) Set g(p) = 0.5p(1- p) – 1.2p. Graph g(p) for pE[0, 1].
O A.
В.
'C.
O D.
Ag(p)
1-
A9(p)
1-
A9(p)
A9(p)
-2-
(b) Find all equilibria of g(p) = 0.5p(1 - p) - 1.2p that are in [0, 1]. Use your graph in (a) to determine their stability.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dedc2f0-34a2-4f6a-9bbc-fab867b2dfd0%2Fb832bfde-06ad-4b1f-9b2d-1f39a3fa3ab2%2Fu0wvgnq_processed.png&w=3840&q=75)
Transcribed Image Text:Denote by p= p(t) the fraction of occupied sites in the patchy habitat model, and assume that
= 0.5p(1- p) - 1.2p for t2 0. Complete parts (a) through (c).
(a) Set g(p) = 0.5p(1- p) – 1.2p. Graph g(p) for pE[0, 1].
O A.
В.
'C.
O D.
Ag(p)
1-
A9(p)
1-
A9(p)
A9(p)
-2-
(b) Find all equilibria of g(p) = 0.5p(1 - p) - 1.2p that are in [0, 1]. Use your graph in (a) to determine their stability.
![(b) Find all equilibria of g(p) = 0.5p(1- p) - 1.2p that are in [0, 1]. Use your graph in (a) to determine their stability.
O A. The stable equilibria are p=
and the unstable equilibria are p=
(Type an integer or a decimal. Use a comma to separate answers as needed.)
B. The unstable equilibria are p =|
There are no stable equilibria.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
O C. The stable equilibria are p= There are no unstable equilibria.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
O D. There are no equilibria.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dedc2f0-34a2-4f6a-9bbc-fab867b2dfd0%2Fb832bfde-06ad-4b1f-9b2d-1f39a3fa3ab2%2Fpkl1w4i_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Find all equilibria of g(p) = 0.5p(1- p) - 1.2p that are in [0, 1]. Use your graph in (a) to determine their stability.
O A. The stable equilibria are p=
and the unstable equilibria are p=
(Type an integer or a decimal. Use a comma to separate answers as needed.)
B. The unstable equilibria are p =|
There are no stable equilibria.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
O C. The stable equilibria are p= There are no unstable equilibria.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
O D. There are no equilibria.
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