where . 2 represents the Euclidean norm.
In order to study the behaviour of the proposed model and the effect of the neighborhood choice on the disease
spreading, we will implement the model with arbitrary parameters for two neighborhoods of different shapes but
the same size. Another analysis of the spreading effect of epidemics will concern the estimation of the basic
reproduction number for each situation. We first consider a traditional Moore neigborhood N of size n = 9 and
then split it in two parts N1 which is von Neumann of zise n1 = 5 and N2 consisting of n − n1 = 4 arbitrarily
dispatched cells in the whole lattice L.