This article aims to model and study the effect of the strength, time and duration of the restrictive measures for the spread of an infectious disease. The inconveniences, economic losses and gaps in education are the price that society pays to prevent the spread of the virus. It is important that restrictive measures cover the shortest possible time interval, at the most appropriate time, in order to have minimal negative consequences for society, and at the same time to be effective against the spread of the virus. We consider as a basis the SIS compartmental model for the spread of a virus and apply numerical experiments assuming that, unlike the classic model, the transmission rate α is a monotonically decreasing function of time. Numerical experiments show that earlier introduction, greater stringency and a shorter period of adaptation to restrictive measures until they enter into force would lead to a smaller proportion of infected people, a shorter period of implementation of measures and small economic losses.
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