Modeling of epidemic spread by social interactions

Epidemic diseases spread is one of the major problems related to our health and it increases with increase in our social involvement. To examine the behavior of such epidemic contact network in a society, various mathematical epidemic models had been proposed earlier. One of them is the basic SIR( susceptible-infected-recovery) model. Which was not that much effective one, as various assumptions are considered in this model which are not acceptable in real life. Here, by considering the real heterogeneous contact network among people in society rather than homogeneous one as in standard SIR model, proposed an improved SIR model called as ISIR model. The model uses four different immunization strategies which are, random set (RS), dominating set (DS), critical set (CS) and high degree set (HS) based on the different contacts among different people.

I. Introduction

There are lots of infectious diseases like measles, H1N1 flue, malaria, chicken pox, Ebola etc. which are very harmful and highly spread through contacts with infected person. Hence, the epidemic spread of such infectious diseases is very important topic to study and understand. The process of epidemic spread is very complex and unobservable, hence difficult to model simulation which will give the better realistic results. Modeling of epidemics helps to understand how epidemic outbreak occurs and what care should be taken to avoid it.