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If a disease has a basic reproduction number (R0) of 2.5, how many people can on

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Question: If a disease has a basic reproduction number (R0) of 2.5, how many people can one infected person potentially infect in 3 generations? (2023)

Options:

  1. 15.625
  2. 10
  3. 20
  4. 5

Correct Answer: 15.625

Exam Year: 2023

Solution: 

Total infections = R0^n = 2.5^3 = 15.625.

If a disease has a basic reproduction number (R0) of 2.5, how many people can on

Practice Questions

Q1
If a disease has a basic reproduction number (R0) of 2.5, how many people can one infected person potentially infect in 3 generations? (2023)
  1. 15.625
  2. 10
  3. 20
  4. 5

Questions & Step-by-Step Solutions

If a disease has a basic reproduction number (R0) of 2.5, how many people can one infected person potentially infect in 3 generations? (2023)
  • Step 1: Understand what R0 means. R0 (basic reproduction number) indicates how many people one infected person can infect on average.
  • Step 2: Identify the value of R0 given in the question, which is 2.5.
  • Step 3: Determine how many generations you want to calculate for. In this case, it is 3 generations.
  • Step 4: Use the formula for total infections, which is Total infections = R0^n, where n is the number of generations.
  • Step 5: Substitute the values into the formula: Total infections = 2.5^3.
  • Step 6: Calculate 2.5 raised to the power of 3. This means 2.5 multiplied by itself three times: 2.5 * 2.5 * 2.5.
  • Step 7: Perform the multiplication: 2.5 * 2.5 = 6.25, and then 6.25 * 2.5 = 15.625.
  • Step 8: Conclude that one infected person can potentially infect approximately 15.625 people in 3 generations.
  • Basic Reproduction Number (R0) – R0 represents the average number of secondary infections produced by one infected individual in a completely susceptible population.
  • Exponential Growth of Infections – The calculation involves raising R0 to the power of the number of generations to determine the potential total infections.
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