A New Fractional Modelling on Susceptible-Infected-Recovered Equations with Constant Vaccination Rate

[摘要] In this article, the authors introduce a fractional order SIR model with constant vaccination rate. The SIR model has been used in the modeling of several epidemiological diseases, biology and medical sciences. Qualitative results show that the model has two equilibria; the disease free equilibrium and the endemic equilibrium points. The local stability of the model for fractional order time derivative is analyzed using fractional Routh-Hurwitz stability criterion. The fractional derivative is described in Caputo sense. The results obtained through numerical procedure show that the method is effective and reliable.

[关键词] Fractional SIR model;Caputo derivative;Stability analysis;Adams-Bashforth-Moulton method