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The basic reproductive number $R_0$ is the expected number of secondary infections produced by one infected individual in the initial population setting used by the model. In this lecture, it is written as $(N-1)\beta/\gamma$ or $\hat{\beta}/\gamma$.

Conditions: Defined for the SIR model under the initial condition $I(0)=1$.; $\hat{\beta}$ is the lumped exposure-rate parameter introduced in this segment.; The quantity is the same $R_0$ derived from the initial-growth condition.; The model context is the SIR framework displayed on the board.

The basic reproductive number $R_0$ is the expected number of secondary infections produced by one infected individual in the initial population setting used by the model. In this lecture, it is written as $(N-1)\beta/\gamma$ or $\hat{\beta}/\gamma$.

Conditions: Defined for the SIR model under the initial condition $I(0)=1$.; $\hat{\beta}$ is the lumped exposure-rate parameter introduced in this segment.; The quantity is the same $R_0$ derived from the initial-growth condition.; The model context is the SIR framework displayed on the board.

In the discrete one-infected example, the initial values are $S=N-1$, $I=1$, and $R=0$. This corresponds to a small population where exactly one person is infected, everyone else is susceptible, and nobody has yet recovered or been removed.

Conditions: Total population scale is N.; There is one infected person.; Everyone else is susceptible at the beginning.; No one has yet recovered or been removed in this initial example.

In the discrete one-infected example, the initial values are $S=N-1$, $I=1$, and $R=0$. This corresponds to a small population where exactly one person is infected, everyone else is susceptible, and nobody has yet recovered or been removed.

Conditions: Total population scale is N.; There is one infected person.; Everyone else is susceptible at the beginning.; No one has yet recovered or been removed in this initial example.