In this paper we present a numerical study of a mathematical model that describes the continuous temporal evolution of membrane potentials in a GABAergic neuronal network. This model, with stochastic and evolutionary characteristics, is an application of the version introduced in1 where the authors present the continuous time version of a new class of stochastic models for biological neural networks.
More specifically, the computational simulations of the model provide numerical results describing spiking neuron with electrophysiological characteristics of a brain region called substantia nigra pars reticulada, emphasizing changes in desynchronized firing activity and how changes in individual activity propagate through the network.