The susceptible, exposed, infectious, hospitalized, and recovered (SEIHR) model with delays in diagnosis is investigated. A class of general incidence functions is considered. The threshold for the model is determined, and the stabilities of the equilibrium points are examined. The effects of the delay in diagnosis on the spread of the disease are studied. A comparative study between the delay-induced basic reproduction number mathematical equation for the model and the basic reproduction number mathematical equation when the infection is timely diagnosed is performed.

Modélisation, stabilité, diagnostic