A Simulation of an Sir Mathematical Model of HIV Transmission Dynamics Using the Classical Euler’s Method.

Abstract

In this paper we establish a numerical solution to the classical SIR mathematical model of HIV transmission dynamics using the traditional Euler’s method. We will discuss the mathe-matics behind the model and various tools for judging effectiveness of policies and control methods. We will complete the paper with a computer simulation of the model equations using the model parameters. From the result, the epidemic can be controlled within a finite time.