  The results of Kermack-McKendrick SIR model are planned to be reproduced by
cellular automata (CA) lattice model. The CA algorithms are proposed to study
the model of epidemic, systematically. The basic goal is to capture the effects
of spreading of infection over a scale of length. This CA model can provide the
rate of growth of the infection over the space which was lacking in the
mean-field like SIR model. The motion of the circular front of an infected
cluster shows a linear behaviour in time. The correlation of a particular site
to be infected, with respect to the central site is also studied. The outcomes
of CA model are in good agreement with that obtained from SIR model. The
results of vaccination have been also incorporated in the CA algorithm with a
satisfactory degree of success. The advantage of the present model is that it
can shed considerable amount of light to the physical properties of the spread
of a typical epidemic in a simple, yet robust way.
