8.2-1c) part c please: 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).(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=There are no stable equilibria.(Type an integer or a decimal. Use a comma to separate answers as needed.)C. The stable equilibria are p= 0. 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.(c) Use the eigenvalue approach to analyze the stability of the equilibria that you found in (b).gʻ(p) =O 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.

Name: 8.2-1c) part c please: Denote by p= p(t) the fraction of occupied site
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Description: 8.2-1c) part c please: 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).(b) Find all equilibria of g(p) = 0.5p(1- p) - 1.2p that are in [0, 1]. U

Equating gp=0 calculate points of equilibrium: 0.5p1-p-1.2p=0pp+1.4=0p=0,-1.4 Thus, there are two…

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(c) Use the eigenvalue approach to analyze the stability of the equilibria that you found in (b). g'(p) =

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 54PS

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