ABSTRACT
Abstract
The paper analyses the behavior of a mathematical epidemic model. The particular interest is the criteria for obtaining the basic reproduction number of the modified model with the local and global stabilities of the model. The numerical results show the effect of sociological and physiological parameters on the model by using Runge kutta of order 4, and that saturation term which analyses the behavior, has appreciable effects on the mathematical model.
Keywords: Basic Reproduction Number; Disease Free Equilibrium; Saturation Terms; Lyapunov Functions.