The coronavirus (covid-19) is a viral pandemic that has affected the whole world. In the case of covid-19, it has started to be significantly propagated in China. Then it has evolved to Europe, Asia, the United States of America and Africa. In Niger, the first case was diagnosed on March 19, 2020, more precisely in Niamey. On the date of April 9, 2020, the city has 342 cases of infected among which 11 have already died and 28 have been cured. In order to prevent a disaster like the European countries, we are interested in the question. Thus, this document presents a model simulating the evolution of the pandemic in Niger. The main objective is to have an idea about the number of people infected and those who died in the worst (no preventive measure), medium and best case.