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Epidemics

Learn about epidemics and the SIR model in epidemiology. Explore how susceptible, infected, and recovered individuals influence the spread of diseases over time.

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Epidemics

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  1. Epidemics Pedro Ribeiro de Andrade Gilberto Câmara Tiago Garcia de Senna Carneiro

  2. Epidemic “In epidemiology, an epidemic occurs when new cases of a certain disease, in a given human population, and during a given period, substantially exceed what is expected based on recent experience.”

  3. Source: Viboud and Chowell (NIH)

  4. Source: Viboud and Chowell (NIH)

  5. Source: Viboud and Chowell (NIH)

  6. Source: Viboud and Chowell (NIH)

  7. Source: Viboud and Chowell (NIH)

  8. Source: Viboud and Chowell (NIH)

  9. Source: Viboud and Chowell (NIH)

  10. Source: Viboud and Chowell (NIH)

  11. Epidemic dynamics (SIR model)

  12. Epidemic dynamics (SIR model) • S(t) is used to represent the number of individuals not yet infected with the disease at time t • I(t) denotes the number of individuals who have been infected with the disease and are capable of spreading the disease to those in the susceptible category. • R(t) is the compartment used for those individuals who have been infected and then recovered from the disease. Those in this category are not able to be infected again or to transmit the infection to others.

  13. Source: Viboud and Chowell (NIH)

  14. SIR model

  15. SIR model in discrete time

  16. Parameter calculation

  17. Source: Viboud and Chowell (NIH)

  18. Epidemic dynamics (SIR model) • Stocks: susceptible, infected, and recovered • Initial stocks: susceptible = 999, infected = 1 • Infectious period = 4 days • Run time = 100 days • Each infected contacts 1 other people each day • 40% of the contacts cause infection

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