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Answers for “什么时候应该使用 R-naught 而不是有效再生数?”

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Know when to use it

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R0R_0 should be used early in an outbreak when the whole population is susceptible and when a growth rate and serial interval are available. Once some immunity builds up in the population, one should switch to using the effective reproduction number instead.

Conditions: Use R0R_0 early in an outbreak with a fully susceptible population.; Use it when a growth rate and serial interval are available.; Switch to effective RR once immunity builds.

Find a method

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The herd immunity threshold (HIT) is computed using the formula HIT=1−1R0\mathrm{HIT} = 1 - \frac{1}{R_0}. This represents the immune fraction of the population needed so that each case infects fewer than one other on average, stopping sustained spread.

Conditions: The narration adds assumptions of random mixing and a fully effective vaccine.; The goal stated is that each case infects fewer than one other on average.

Understand why

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R0=1R_0=1 is the threshold separating outbreak decline from growth. If R0<1R_0 < 1, each case infects fewer than one other person on average, causing transmission chains to break and the outbreak to fade.

Conditions: The video states the growth side only until immunity builds up.; The example value shown is R0=2.5R_0=2.5.

Find a method

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Under the simple SIR model, R0R_0 is approximated using the formula R0=1+r⋅TsR_0 = 1 + r \cdot T_s, where rr is the growth rate and TsT_s is the serial interval. This approximation assumes exponentially distributed generation times.

Conditions: Stated as an approximation under the simple SIR model.; The on-screen note says it assumes exponentially distributed generation times.