Mathematical study of an sir epidemic model with nonmonotone saturated incidence rate and white noise Kumar G Ranjith1,*, Narayan K Lakshmi2, Reddy B Ravindra3 1Department of Mathematics, ANURAG Group of Institutions, Hyderabad 2Department of Mathematics, VIGNAN Institute of Tech. & Sci., Hyderabad 3Department of Mathematics, JNTUH College of Engg., Jagityal, Karimnagar *Corresponding Author E-mail: ranjithreddy1982@gmail.com
Online published on 2 March, 2017. Abstract This paper contemplates an SIR epidemic model with non-monotone saturated incidence rate for both deterministic and stochastic models. The stability of disease-free and endemic equilibrium points of the deterministic model have been dealt with first. As far as the stochastic version goes, the global stability of endemic equilibrium is proved under suitable conditions on the strength of the intensity of the white noise perturbation. Furthermore, we find some numerical examples that attest to the analytical findings. Top Keywords Non-monotone Saturated Incidence rate, stochastic stability, Endemic equilibrium, Lyapunov Function, White noise. Top |