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To model the spread of a disease in a population of size N, the differential equation model = (kb - c)l - N was derived, where I(t) is the number of infected individuals at time t, and k, b, and c are all positive coefficients. Locate the equilibria of the model and find which of these equilibria are stable. Draw a vector field plot given the following coefficients. k= 4,b= 2, c= 3, N = 240 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The stable equilibria are I= and the unstable equilibria are I=| (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The stable equilibria are I= There are no unstable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O C. The unstable equilibria are I = | . There are no stable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O D. There are no equilibria.

To model the spread of a disease in a population of size N, the differential equation model = (kb - c)l - N was derived, where I(t) is the number of infected individuals at time t, and k, b, and c are all positive coefficients. Locate the equilibria of the model and find which of these equilibria are stable. Draw a vector field plot given the following coefficients. k= 4,b= 2, c= 3, N = 240 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The stable equilibria are I= and the unstable equilibria are I=| (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The stable equilibria are I= There are no unstable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O C. The unstable equilibria are I = | . There are no stable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O D. There are no equilibria.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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dl = (kb - c)l - was derived, where l(t) is the number of infected kb To model the spread of a disease in a population of size N, the differential equation model dt individuals at time t, and k, b, and c are all positive coefficients. Locate the equilibria of the model and find which of these equilibria are stable. Draw a vector field plot given the following coefficients. k= 4,b= 2, c= 3, N = 240 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The stable equilibria are l= and the unstable equilibria are l = (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The stable equilibria are l= There are no unstable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O C. The unstable equilibria are = There are no stable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O D. There are no equilibria.
Transcribed Image Text:dl = (kb - c)l - was derived, where l(t) is the number of infected kb To model the spread of a disease in a population of size N, the differential equation model dt individuals at time t, and k, b, and c are all positive coefficients. Locate the equilibria of the model and find which of these equilibria are stable. Draw a vector field plot given the following coefficients. k= 4,b= 2, c= 3, N = 240 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The stable equilibria are l= and the unstable equilibria are l = (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The stable equilibria are l= There are no unstable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) O C. The unstable equilibria are = There are no stable 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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