Stability Analysis of an Eight Parameter SIR-Type Model Including Loss of Immunity, and Disease and Vaccination Fatalities

We revisit here a landmark five-parameter SIR-type model, which is maybe the simplest example where complete picture of all cases, including non-trivial bistability behavior, may be obtained using simple tools. also generalize it by adding essential vaccination and vaccination-induced death parameters, with aim revealing role its possible failure. The main result Theorem 1, describes stability behavior our model in cases.