Infectious Diseases Modeling: An Epidemic model (SIR Model)
Author(s):
A.R.Muralidharan
Keywords:
Infectious Diseases, Modeling , SIR model, Endemic , Epidemic
Abstract
This article try to give a basic understanding of Infectious diseases and the model as SIR with different situational applications based on mathematical and statistical formulae. The importance of Infectious disease is more in this day, to analysis and determines the various unknowns and prediction in feature. This article covers the basic and necessary contents and equations in using model as SIR model. The SIR model labels these three compartments S = number susceptible, I = number infectious, and R =number recovered (immune). This is a good and simple model for many infectious diseases. In this article, the methodology is explained based on approximate solutions by numerical methods in SIR model. The infective population at some time t is larger than the initial number, and it might be an epidemic. The I0 > 0 then state this observation in terms of S0. If S0 < β/r ≡ ρ then the infective population decreases initially and if S0 > β/r ≡ ρ then the infective population increases initially.
