For the same number of neighbors the results are really differents. In fact, with the modified neiborhood, the
peak maximum value of infected individuals is more important and happens more quickly than in the case with
Moore neighborhood. This different is due to the spatial distribution of the neighbors in the lattice.
So our definition of R0 with the traditional neighborhood (that is the same in many papers [1, 9, 10]) is not
really adequate for every kind of neighborhoods even if they have the same size. As a consequence, the expression
of basic reproduction number have to be revisited in order to take into account the structure of the neighborhood.