  The dynamics of complex reactive schemes is known to deviate from the Mean
Field (MF) theory when restricted on low dimensional spatial supports. This
failure has been attributed to the limited number of species-neighbours which
are available for interactions. In the current study, we introduce effective
reactive parameters, which depend on the type of the spatial support and which
allow for an effective MF description. As working example the Lattice Limit
Cycle dynamics is used, restricted on a 2D square lattice with nearest
neighbour interactions. We show that the MF steady state results are recovered
when the kinetic rates are replaced with their effective values. The same
conclusion holds when reactive stochastic rewiring is introduced in the system
via long distance reactive coupling. Instead, when the stochastic coupling
becomes diffusive the effective parameters no longer predict the steady state.
This is attributed to the diffusion process which is an additional factor
introduced into the dynamics and is not accounted for, in the kinetic MF
scheme.
