Enter the transmissibility, rate of contact, and duration into the calculator to determine the basic reproduction number, R0.

R0 Formula

The following formula is used to calculate the basic reproduction number:

R0 = t*c*d
  • Where R0 is the basic reproductive number
  • t is the transmissibility (infections per contact)
  • c is the rate of contact (contact per time)
  • d is the total time of infectiousness (time per infection)

Transmissibility refers to the number of infections that occur per contact between an infected individual and a susceptible individual.

Rate of contact refers to the number of times two or more objects or entities come into contact within a specific period.

The total time of infectiousness refers to the duration during which an individual can transmit a specific infection to others.

R0 Definition

What is R0?

R0 is a symbol used to denote the primary reproductive number of an infection. This value represents the total number of expected secondary cases produced by a single infection in a susceptible population.

Basic Reproduction Number Example

How to calculate R0?

  1. First, determine the transmissibility of the infection/disease.

    For this example, the transmissibility is .75 infections per contact.

  2. Next, determine the rate of contact.

    For the problem, the rate of contact is 4 contacts per hour.

  3. Next, determine the total time of infectiousness.

    In this case, the infectiousness lasts for 6 hours.

  4. Finally, calculate R0.

    Using the formula above, the basic reproduction number is calculated as:
    R0 = t*c*d
    R0 = .75*4*6
    R0 = 18

FAQ

What factors can affect the R0 value of an infection?
The R0 value can be influenced by several factors including the virulence of the pathogen, the immunity of the population, environmental conditions, and the effectiveness of control measures such as vaccinations and quarantine.

How is the R0 value used in public health?
The R0 value is crucial for epidemiologists and public health officials to understand the potential spread of an infection within a community. It helps in planning and implementing control measures to prevent or reduce the spread of infectious diseases.

Can the R0 value change over time?
Yes, the R0 value can change over time as the population’s immunity changes, either through vaccination or through natural infection, and as new variants of the pathogen emerge. Changes in behavior and public health measures can also affect the R0 value.

What does an R0 value less than 1 indicate?
An R0 value less than 1 indicates that each existing infection causes less than one new infection. In this scenario, the disease will decline and eventually die out in the population, provided the conditions remain constant.