Sirs Model with Double Time Delay

This paper is concerned with the study of two SIRS Model with Double Time Delay by incorporating time delay in both infective and recovered class. In model I, we have obtained the existence of disease free and endemic equilibrium points. For Model I, by analyzing the eigenvalues of associated characteristic equation of system, the conditions ensuring the local stability of the equilibrium points are obtained. Further, for the Model II the dynamical behavior of the endemic equilibrium is shown from the point of view of stability switches aspects. Finally, numerical simulations have been carried out in support of our result.