In a community, the basic reproduction number ($R_0$) of a contagious disease is 3.2. Two vaccines are available: Vaccine A with 70 % efficacy and Vaccine B with 90 % efficacy. If 55 % of the population receives Vaccine A, 25 % receives Vaccine B, and the remaining 20 % are unvaccinated, calculate the effective reproduction number ($R_e$) after vaccination and state whether the disease will be able to spread (i.e., whether $R_e1$).

Question

In a community, the basic reproduction number ($R_0$) of a contagious disease is 3.2. Two vaccines are available: Vaccine A with 70 % efficacy and Vaccine B with 90 % efficacy. If 55 % of the population receives Vaccine A, 25 % receives Vaccine B, and the remaining 20 % are unvaccinated, calculate the effective reproduction number ($R_e$) after vaccination and state whether the disease will be able to spread (i.e., whether $R_e>1$).

Accepted Answer

R_e ≈ 1.25; the disease can still spread because R_e > 1.

Neco Model Questions Vol1 2021 Biology Question 41

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