(b) Suppose that for a particular disease c = 0.6/day, and b = 10/day. What value must k remain below to prevent the disease from becoming endemic? k<

Algebra & Trigonometry with Analytic Geometry
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Chapter5: Inverse, Exponential, And Logarithmic Functions
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8.1-20) part b please

(b) Suppose that for a particular disease c= 0.6/day, and b = 10/day. What value must k remain below to prevent the disease from becoming endemic?
k<
Transcribed Image Text:(b) Suppose that for a particular disease c= 0.6/day, and b = 10/day. What value must k remain below to prevent the disease from becoming endemic? k<
One way to control the spread of a disease is to run public health programs that educate people on how to limit their exposure to the disease. For example, frequent
handwashing can prevent people from picking up a virus after touching surfaces that may live on. Complete parts (a) and (b).
ds
= cI -
dt
kb
N SI
where S(t) represents the number of susceptible people at time t, I(t) represents the number of infected people at
(a) The epidemic model used is
dI
kb
dt NSI - cI
that time, coefficient k is a constant of proportionality, coefficient c is the recovery rate, and coefficient b is the number of other people an individual contacts in one
unit of time. Explain why in our model such efforts to control the disease would affect the value of the parameter k, but would not affect b or c. Choose the correct
answer below.
'A. Efforts to control the disease will cause the number of infected individuals to decrease. If the total population does not change, then the proportion of
infected individuals contacted in unit time, k, must also decrease. The variables b and c should not be affected.
Transcribed Image Text:One way to control the spread of a disease is to run public health programs that educate people on how to limit their exposure to the disease. For example, frequent handwashing can prevent people from picking up a virus after touching surfaces that may live on. Complete parts (a) and (b). ds = cI - dt kb N SI where S(t) represents the number of susceptible people at time t, I(t) represents the number of infected people at (a) The epidemic model used is dI kb dt NSI - cI that time, coefficient k is a constant of proportionality, coefficient c is the recovery rate, and coefficient b is the number of other people an individual contacts in one unit of time. Explain why in our model such efforts to control the disease would affect the value of the parameter k, but would not affect b or c. Choose the correct answer below. 'A. Efforts to control the disease will cause the number of infected individuals to decrease. If the total population does not change, then the proportion of infected individuals contacted in unit time, k, must also decrease. The variables b and c should not be affected.
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