EQUILIBRIUMS AND STABILITY OF AN SVIR EPIDEMIC MODEL WITH NON LINEAR SATURATED INCIDENCE

Vaccination is most essential for the elimination of infectious diseases. This paper investigates a susceptible-vaccinated-infectious-recovered epidemic model with a non-linear saturated incidence rate for infectious disease dynamics, including the role of preventive vaccine is proposed and analyzed. Incoming immigrants are proposed in this model. A model for the transmission dynamics of infectious disease has been studied and presented this model's equilibrium points. The model shows the disease-free and endemic equilibrium.