Question

13 formula 3 points there are about 781 susceptible people living in an isolated community. individual who catches an novel disease stay sick for about 1.6 days, and you estimate the chance an infected individual will pass the disease to a susceptible they meet is 0.0002. what is r₀ for this disease? use 2 decimal places only, without units. wrong entries won’t be corrected. remember that r₀ = sβl or r0 = sβ/v also: l = 1/v, and v = 1/l answer 0.25 14 true or false 3 points based on your estimate of r₀ above, will an epidemic occur in this human population? (think of why that would be the case!). true false

Explanation:

Step1: Identify variables

We know:

• \( S \) (susceptible population) = 781
• \( \beta \) (transmission probability) = 0.0002 (chance an infected individual passes the disease to a susceptible they meet)
• \( L \) (duration of infectiousness) = 1.6 days. First, find \( v \) (recovery rate) using \( v=\frac{1}{L} \). So \( v = \frac{1}{1.6}=0.625 \) per day.

Step2: Use \( R_0 = S\beta L \) (or \( R_0 = S\beta / v \) since \( v = 1/L \), so \( S\beta L=S\beta / v \))

Substitute values:
\( R_0=781\times0.0002\times1.6 \)
First, calculate \( 781\times0.0002 = 0.1562 \)
Then, \( 0.1562\times1.6 = 0.24992 \approx 0.25 \) (rounded to two decimal places)

Answer:

0.25