New reproduction numbers for the visible and real epidemic dynamics

Known basic and effective reproduction numbers are based on registered (visible) cases despite that asymptomatic and unregistered patients are characteristic of almost all infection diseases. New reproduction numbers - the ratios of the real numbers of infectious persons (symptomatic and asymptomatic) at different moments of time and a simple method of their estimation with the use of visible (registered) cases only were proposed. The novel general SIR (susceptible-infectious-removed) model was used and the results of calculations for the pertussis epidemic in England are presented. New approach could help to control different epidemics, in particular new waves of COVID-19.