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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 33

Abstract

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.

Keywords and Phrases

SVIR epidemic model, Reproduction number, Endemic Equilibrium, Diseases Free Equilibrium, Stability analysis.

A.M.S. subject classification

92D25, 49J15, 93D20, 92D30, 34D23, 93A30.

.....

Download PDF 33 Click here to Subscribe now