A particular problem at the beginning of the second millennium is the epidemic caused by coronaviruses. In 2002-2003, new strains of viruses appeared – SARS-CoV SARS, in 2012, MERS-CoV. In 2019-2020, the epidemic caused by the coronavirus strain 2019-nCoV, which belong to the Beta-CoV group, is a threat. Different types of coronaviruses infect humans, cats, birds, dogs, cattle, pigs and hares, bats, camels and other animals. Coronaviruses have a single-stranded RNA genome, which encodes 4–5 structural proteins, including proteins of the outer membrane, matrix and small membrane. The complete 2019-nCoV genome is stored online at GenBank: MN908947.3. Coronaviruses have some unique features in RNA transcription. The RNA minus chain serves as a matrix for the synthesis of both new genomic and subgenomic RNAs. To develop a model of human resistance to the disease caused by the coronavirus family, elements, connections and ways of protecting the Human-Virus-Environment system were identified. The destructive functions of sixteen non-structural and structural proteins of the strain 2019-nCoV are considered. Deterministic and statistical models of the development of the danger of infection of the cells have been developed. A parameterized system for protecting a person from coronavirus damage has been developed.