Gonorhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with antibiotics There is no evidence that a person ever develops immunity. One model proposed for the rate of change in the number of men infected by this disease is dy ay + b(f-y)Y, where y is the fraction of men infected, f dt is the fraction of men who are promiscuous, Y is the fraction of women infected, and a and b are appropriate constants Answer parts (a) and (b) below (a) Assume a1, b 1, and f-0.5. Choose Y0.03, and solve for y using y=002 when tis 0 as an initial condition y= 0015+0 05e1031 (Use integers or decimals for any numbers in the expression Round to three dlimal places as needed) AP AY + BF-Y)y, where F is the fraction of women who are promiscuous and A and 8 are constants Assume A1 dt (b) A comparable model for women is B-1, and F 0.03. Choose y 02 and solve for Y. using Y 0.05 as an initial condition (Use integers or decimals for any numbers in the expression Round to three decimal places as needed)
Gonorhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with antibiotics There is no evidence that a person ever develops immunity. One model proposed for the rate of change in the number of men infected by this disease is dy ay + b(f-y)Y, where y is the fraction of men infected, f dt is the fraction of men who are promiscuous, Y is the fraction of women infected, and a and b are appropriate constants Answer parts (a) and (b) below (a) Assume a1, b 1, and f-0.5. Choose Y0.03, and solve for y using y=002 when tis 0 as an initial condition y= 0015+0 05e1031 (Use integers or decimals for any numbers in the expression Round to three dlimal places as needed) AP AY + BF-Y)y, where F is the fraction of women who are promiscuous and A and 8 are constants Assume A1 dt (b) A comparable model for women is B-1, and F 0.03. Choose y 02 and solve for Y. using Y 0.05 as an initial condition (Use integers or decimals for any numbers in the expression Round to three decimal places as needed)
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:Gonorrhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with antibiotics. There is no evidence that a person ever develops
immunity. One model proposed for the rate of change in the number of men infected by this disease is
dy
ay + b(f-y)Y, where y is the fraction of men infected, f
di
is the fraction of men who are promiscuous, Y is the fraction of women infected, and a and b are appropriate constants
Answer parts (a) and (b) below
(a) Assume a1, b 1, and f-0.5. Choose Y0.03, and solve for y using y=002 when t is 0 as an initial condition
y= 0015+0 05e1031
(Use integers or decimals for any numbers in the expression Round to three dimal places as needed)
AP
AY+ BF-Yy, where Fis the fraction of women who are promiscuous and A and B are constants Assume A1
dt
(b) A comparable model for women is
B1, and F 0.03. Choose y 02 and solve for Y. using Y 0.05 as an initial condition
(Use integers or decimals for any numbers in the expression Round to three decimal places as needed)
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