Covid-19 disease was first detected in Wuhan City, Hubei Province, China in December 2019 and has affected more than 200 contagious and regions. Also, on March 11, 2020, the World Health Organization described its contagious as a pandemic. Social distancing and quarantine are two non-pharmacological intervention solutions that were considered as part of the only solutions to deal with the spread of the disease due to the lack of medicine and vaccine required for this disease at the beginning of the identification of Covid-19. The covid-19 disease and its many mutations have become a devastating global threat for mental health indicators, economy and social relations, Therefore, all the officials, both in the economic and medical fields, are trying to curb this pandemic or to supply a vaccine to deal with it. Since mathematical models provide the possibility of studying the behavior of a society with the help of simulating existing conditions and general predictions, they can be used as a useful forecasting tool and by considering the appropriate solutions, they can control the disease to a large extent. The purpose of this review research is to study and investigate compartment models, such as the simple SIR (susceptible-infectious-removed) model and its many derivatives as a simple but effective and transparent forecasting tool, which can easily be used to predict the effects of covid- 19, to be used in terms of predicting the number of infected people and hospitalization needs. In addition, it also provides the possibility of analyzing the effects of various pharmaceutical and non-pharmacological interventions on the preva‎lence of a disease in order to check the appropriate performance of models and their ability to predict the process of infection and hospitalization.

فرهاد فضيله

كيوان آقابابايي ساماني

فرهاد شهبازي، اسماعيل عبدالحسيني سارسري