A certain disease has a basic reproduction number (R0) of 2. If one infected per
Practice Questions
Q1
A certain disease has a basic reproduction number (R0) of 2. If one infected person enters a population, how many people could potentially be infected after 3 generations? (2020)
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Questions & Step-by-Step Solutions
A certain disease has a basic reproduction number (R0) of 2. If one infected person enters a population, how many people could potentially be infected after 3 generations? (2020)
Step 1: Understand what R0 means. R0 (basic reproduction number) is the average number of people that one infected person can infect.
Step 2: Identify the value of R0 given in the question. Here, R0 is 2.
Step 3: Determine how many generations we are considering. The question asks for 3 generations.
Step 4: Use the formula for potential infections, which is R0 raised to the power of the number of generations (n). In this case, it is R0^n = 2^3.
Step 5: Calculate 2 raised to the power of 3. This means 2 x 2 x 2.
Step 6: Perform the multiplication: 2 x 2 = 4, and then 4 x 2 = 8.
Step 7: Conclude that after 3 generations, a total of 8 people could potentially be infected.
Basic Reproduction Number (R0) – R0 represents the average number of secondary infections produced by one infected individual in a completely susceptible population.
Exponential Growth in Disease Spread – The potential number of infections can be calculated using the formula R0^n, where n is the number of generations.
