  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 meanfield
like KM model. The motion of circular front of the infected cluster shows
linear behaviour in time. The size dependence of the growth of infected cluster
is also analysed. The outcomes of CA model are in good agreement with that
obtained from KM model. The results of vaccination has been incorporated also
in the CA algorithm with a satisfactory degree of success. The advantage of the
present model can be used to analyse the growth of correlations as function of
length.
