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
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.
Non-monotone Saturated Incidence rate, stochastic stability, Endemic equilibrium, Lyapunov Function, White noise
