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A certain disease has a basic reproduction number (R0) of 2. If one infected per

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Question: 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)

Options:

  1. 6
  2. 8
  3. 10
  4. 12

Correct Answer: 8

Exam Year: 2020

Solution: 

Potential infections = R0^n = 2^3 = 8.

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)
  1. 6
  2. 8
  3. 10
  4. 12

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.
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