Our paper presents three new classes of models: SIR-PH, SIR-PH-FA, and SIR-PH-IA, states two problems we would like to solve about them. Recall that deterministic mathematical epidemiology has one basic general law, the “R0 alternative” Van den Driessche Watmough, which local stability condition disease-free equilibrium may be expressed as R0<1, where R0 is famous reproduction number, also p...