RESUMO

We analysed a epidemiological model with varying populations of susceptible, carriers, infectious and recovered (SCIR) and a general non-linear incidence rate of the form [Formula: see text]. We show that this model exhibits two positive equilibriums: the disease-free and disease equilibrium. We proved using the Lyapunov direct method that these two equilibriums are globally asymptotically stable under some sufficient conditions over the functions f, g, h.

Assuntos

Modelos Biológicos , Dinâmica não Linear , Número Básico de Reprodução , Doenças Transmissíveis/epidemiologia , Humanos , Incidência