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Answers for “为什么 R-naught 等于 1 是疫情的分界线?”

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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.

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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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.

Understand why

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When R0>1R_0 > 1, each generation of infections is larger than the previous one because every case produces more than one new infection on average. This repeated multiplication by a factor greater than one results in exponential growth of the outbreak.

Conditions: Assumes the same average transmission per case across generations.; The worked example uses R0=2.5R_0=2.5.