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Quarantine measure is a commonly used non-pharmaceutical intervention duringthe outbreak of infectious diseases. A key problem for implementing quarantinemeasure is to determine the duration of quarantine. In this paper, a policywith optimal quarantine duration is developed. The policy suggests differentquarantine durations for every individual with different characteristic. Thepolicy is optimal in the sense that it minimizes the average quarantineduration of uninfected people with the constraint that the probability ofsymptom presentation for infected people attains the given value closing to 1.The optimal solution for the quarantine duration is obtained and estimated bysome statistic methods with application to analyzing COVID-19 data.

Determination and estimation of optimal quarantine duration for infectious diseases with application to data analysis of COVID-19